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6.09k
| versions
list | update_date
timestamp[s] | authors_parsed
list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
quant-ph/9910041
|
Susana F. Huelga
|
J. M. G. Sancho (1) and S. F. Huelga (1,2) ((1) Departamento de
Fisica. Universidad de Oviedo. Spain. (2) Optics Section. The Blackett
Laboratory. Imperial College. London, UK)
|
Measuring the entanglement of bipartite pure states
|
1 figure
| null |
10.1103/PhysRevA.61.042303
| null |
quant-ph
| null |
The problem of the experimental determination of the amount of entanglement
of a bipartite pure state is addressed. We show that measuring a single
observable does not suffice to determine the entanglement of a given unknown
pure state of two particles. Possible minimal local measuring strategies are
discussed and a comparison is made on the basis of their best achievable
precision.
|
[
{
"version": "v1",
"created": "Sat, 9 Oct 1999 10:46:24 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Sancho",
"J. M. G.",
""
],
[
"Huelga",
"S. F.",
""
]
] |
quant-ph/9910042
|
Bassano Vacchini
|
L. Lanz, O. Melsheimer and B. Vacchini
|
Description of isolated macroscopic systems inside quantum mechanics
|
13 pages, latex, romp31 style, no figures, to appear in the
Proceedings of the XXXI Symposium on Mathematical Physics (Torun, Poland), to
be published in Rep. Math. Phys
|
Rep. Math. Phys. 46 (2000) 191-202
|
10.1016/S0034-4877(01)80023-9
| null |
quant-ph
| null |
For an isolated macrosystem classical state parameters $\zeta(t)$ are
introduced inside a quantum mechanical treatment. By a suitable mathematical
representation of the actual preparation procedure in the time interval
$[T,t_0]$ a statistical operator is constructed as a solution of the Liouville
von Neumann equation, exhibiting at time $t$ the state parameters $\zeta(t')$,
$t_0\leq t' \leq t$, and {\it preparation parameters} related to times $T \leq
t'\leq t_0$. Relation with Zubarev's non-equilibrium statistical operator is
discussed. A mechanism for memory loss is investigated and time evolution by a
semigroup is obtained for a restricted set of relevant observables, slowly
varying on a suitable time scale.
|
[
{
"version": "v1",
"created": "Sat, 9 Oct 1999 13:57:06 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Lanz",
"L.",
""
],
[
"Melsheimer",
"O.",
""
],
[
"Vacchini",
"B.",
""
]
] |
quant-ph/9910043
|
Jian-Wei Pan
|
Dik Bouwmeester, Jian-Wei Pan, Harald Weinfurter, and Anton Zeilinger
|
High-Fidelity Teleportation of Independent Qubits
|
13 pages, Latex, 5 figures(eps), to appear in Journal of Modern
Optics
| null |
10.1080/09500340008244042
| null |
quant-ph
| null |
Quantum teleportation is one of the essential primitives of quantum
communication. We suggest that any quantum teleportation scheme can be
characterized by its efficiency, i.e. how often it succeeds to teleport, its
fidelity, i.e. how well the input state is reproduced at the output, and by its
insensitivity to cross talk, i.e. how well it rejects an input state that is
not intended to teleport. We discuss these criteria for the two teleportation
experiments of independent qubits which have been performed thus far. In the
first experiment (Nature {\bf 390},575 (1997)) where the qubit states were
various different polarization states of photons, the fidelity of teleportation
was as high as 0.80 $\pm$ 0.05 thus clearly surpassing the limit of 2/3 which
can, in principle, be obtained by a direct measurement on the qubit and
classical communication. This high fidelity is confirmed in our second
experiment (Phys. Rev. Lett. {\bf 80}, 3891 (1998)), demonstrating entanglement
swapping, that is, realizing the teleportation of a qubit which itself is still
entangled to another one. This experiment is the only one up to date that
demonstrates the teleportation of a genuine unknown quantum state.
|
[
{
"version": "v1",
"created": "Sat, 9 Oct 1999 14:08:52 GMT"
}
] | 2015-06-26T00:00:00 |
[
[
"Bouwmeester",
"Dik",
""
],
[
"Pan",
"Jian-Wei",
""
],
[
"Weinfurter",
"Harald",
""
],
[
"Zeilinger",
"Anton",
""
]
] |
quant-ph/9910044
|
Theor. Phys. Group
|
Qiong-gui Lin
|
Scattering of relativistic particles by a Coulomb field in two
dimensions
|
REVTeX, 9 pages, no figure
|
Phys.Lett. A260 (1999) 17-23
|
10.1016/S0375-9601(99)00507-1
| null |
quant-ph hep-th
| null |
The scattering of relativistic Dirac particles by a Coulomb field $\pm
Ze^2/r$ in two dimensions is studied and the scattering amplitude is obtained
as a partial wave series. For small $Z$ the series can be summed up
approximately to give a closed form. The result, though being aproximate,
exhibites some nonperturbative feature and cannot be obtained from perturbative
quantum electrodynamics at the tree level.
|
[
{
"version": "v1",
"created": "Mon, 11 Oct 1999 13:16:26 GMT"
}
] | 2016-09-08T00:00:00 |
[
[
"Lin",
"Qiong-gui",
""
]
] |
quant-ph/9910045
|
Dagomir Kaszlikowski
|
Marek Zukowski and Dagomir Kaszlikowski
|
Critical visibility for N-particle Greenberger-Horne-Zeilinger
correlations to violate local realism
|
8 pages, LaTex
|
Phys. Rev. A 56, 1997, R1685
| null | null |
quant-ph
| null |
A sequence of Bell inequalities for N-particle systems, which involve three
settings of each of the local measuring apparatuses, is derived. For
Greenberger-Horne-Zeilinger states, quantum mechanics violates these
inequalities by factors exponentially growing with N. The threshold
visibilities of the multiparticle sinusoidal interference fringes, for which
local realistic theories are ruled out, decrease as (2/3)^N.
|
[
{
"version": "v1",
"created": "Mon, 11 Oct 1999 16:26:14 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Zukowski",
"Marek",
""
],
[
"Kaszlikowski",
"Dagomir",
""
]
] |
quant-ph/9910046
|
Nipun Vats
|
Nipun Vats, Terry Rudolph and Sajeev John
|
Quantum information processing in localized modes of light within a
photonic band-gap material
|
RevTeX, 4 pages, 2 figures
| null | null | null |
quant-ph physics.atom-ph
| null |
The single photon occupation of a localized field mode within an engineered
network of defects in a photonic band-gap (PBG) material is proposed as a unit
of quantum information (qubit). Qubit operations are mediated by
optically-excited atoms interacting with these localized states of light as the
atoms traverse the connected void network of the PBG structure. We describe
conditions under which this system can have independent qubits with
controllable interactions and very low decoherence, as required for quantum
computation.
|
[
{
"version": "v1",
"created": "Mon, 11 Oct 1999 19:49:47 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Vats",
"Nipun",
""
],
[
"Rudolph",
"Terry",
""
],
[
"John",
"Sajeev",
""
]
] |
quant-ph/9910047
|
Weiqin Chao
|
R. Friedberg, T. D. Lee, W. Q. Zhao
|
Relations Between Low-lying Quantum Wave Functions and Solutions of the
Hamilton-Jacobi Equation
|
LaTex, 48 pages, no figure
| null |
10.1007/BF03035922
| null |
quant-ph
| null |
We discuss a new relation between the low lying Schroedinger wave function of
a particle in a one-dimentional potential V and the solution of the
corresponding Hamilton-Jacobi equation with -V as its potential. The function V
is $\geq 0$, and can have several minina (V=0). We assume the problem to be
characterized by a small anhamornicity parameter $g^{-1}$ and a much smaller
quantum tunneling parameter $\epsilon$ between these different minima.
Expanding either the wave function or its energy as a formal double power
series in $g^{-1}$ and $\epsilon$, we show how the coefficients of
$g^{-m}\epsilon^n$ in such an expansion can be expressed in terms of definite
integrals, with leading order term determined by the classical solution of the
Hamilton-Jacobi equation. A detailed analysis is given for the particular
example of quartic potential $V={1/2}g^2(x^2-a^2)^2$.
|
[
{
"version": "v1",
"created": "Tue, 12 Oct 1999 03:05:50 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Friedberg",
"R.",
""
],
[
"Lee",
"T. D.",
""
],
[
"Zhao",
"W. Q.",
""
]
] |
quant-ph/9910048
|
Christoph Simon
|
Christoph Simon, Gregor Weihs, and Anton Zeilinger (University of
Vienna)
|
Optimal Quantum Cloning via Stimulated Emission
|
4 pages, 3 figures
|
Phys. Rev. Lett. 84, 2993 (2000)
|
10.1103/PhysRevLett.84.2993
| null |
quant-ph
| null |
We show that optimal universal quantum cloning can be realized via stimulated
emission. Universality of the cloning procedure is achieved by choosing systems
that have appropriate symmetries. We first discuss a scheme based on stimulated
emission in certain three-level-systems, e.g. atoms in a cavity. Then we
present a way of realizing optimal universal cloning based on stimulated
parametric down-conversion. This scheme also implements the optimal universal
NOT operation.
|
[
{
"version": "v1",
"created": "Tue, 12 Oct 1999 13:41:52 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Simon",
"Christoph",
"",
"University of\n Vienna"
],
[
"Weihs",
"Gregor",
"",
"University of\n Vienna"
],
[
"Zeilinger",
"Anton",
"",
"University of\n Vienna"
]
] |
quant-ph/9910049
|
Pankaj Sharan
|
P. Chingangbam, Pankaj Sharan (Physics Department, Jamia Millia
Islamia, New Delhi)
|
Reduced phase space quantization
|
3 pages, REVTEX
| null | null | null |
quant-ph
| null |
We examine two singular Lagrangian systems with constraints which apparently
reduce the phase space to a 2-dimensional sphere and a 2-dimensional
hyperboloid. Rigorous constraint analysis by Dirac's method, however, gives
2-dimensional open disc and an infinite plane with a hole in the centre
respectively as the reduced phase spaces. Upon canonical quantisation the
classical constraints show up as restrictions on the Hilbert space.
|
[
{
"version": "v1",
"created": "Wed, 13 Oct 1999 09:37:45 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Chingangbam",
"P.",
"",
"Physics Department, Jamia Millia\n Islamia, New Delhi"
],
[
"Sharan",
"Pankaj",
"",
"Physics Department, Jamia Millia\n Islamia, New Delhi"
]
] |
quant-ph/9910050
|
Alina Suzko
|
A.A.Suzko (Joint Institute for Nuclear Research, Dubna, Russia)
|
Generalized Algebraic Bargmann - Darboux Transformations
|
6 pages, Latex
|
International Journal of Modern Physics A, 12 (1997) 277-282
|
10.1142/S0217751X97000414
| null |
quant-ph
| null |
Algebraic Bargmann and Darboux transformations for equations of a more
general form than the Schr\"odinger ones with an additional functional
dependence h(r) in the right-hand side of equations are constructed. The
suggested generalized transformations turn into the Bargmann and Darboux
transformations for both fixed and variable values of energy and an angular
momentum.
|
[
{
"version": "v1",
"created": "Wed, 13 Oct 1999 14:00:35 GMT"
}
] | 2015-06-26T00:00:00 |
[
[
"Suzko",
"A. A.",
"",
"Joint Institute for Nuclear Research, Dubna, Russia"
]
] |
quant-ph/9910051
|
A. B. Balantekin
|
A.N.F. Aleixo (1 and 2), A.B. Balantekin (1), and M.A. Candido Ribeiro
(3) ((1) Physics Department, University of Wisconsin-Madison; (2) Instituto
de Fisica, Universidade Federal do Rio de Janeiro, (3) Departamento de Fisica
- Instituto de Biociencias, UNESP, Sao Jose do Rio Preto, SP, Brazil)
|
Barrier Penetration for Supersymmetric Shape-Invariant Potentials
| null |
J.Phys.A33:1503-1518,2000
|
10.1088/0305-4470/33/8/302
| null |
quant-ph nucl-th
| null |
Exact reflection and transmission coefficients for supersymmetric
shape-invariant potentials barriers are calculated by an analytical
continuation of the asymptotic wave functions obtained via the introduction of
new generalized ladder operators. The general form of the wave function is
obtained by the use of the F-matrix formalism of Froman and Froman which is
related to the evolution of asymptotic wave function coefficients.
|
[
{
"version": "v1",
"created": "Wed, 13 Oct 1999 14:14:53 GMT"
}
] | 2008-11-26T00:00:00 |
[
[
"Aleixo",
"A. N. F.",
"",
"1 and 2"
],
[
"Balantekin",
"A. B.",
""
],
[
"Ribeiro",
"M. A. Candido",
""
]
] |
quant-ph/9910052
|
Jonathan A. Jones
|
J. A. Jones, V. Vedral, A. Ekert and G. Castagnoli
|
Geometric quantum computation with NMR
|
Minor additions at request of referees. 4 pages revtex including 2
figures (1 eps). Nature in press
|
Nature 403 869-871 (2000)
|
10.1038/35002528
|
JAJQP-99-02
|
quant-ph
| null |
The experimental realisation of the basic constituents of quantum information
processing devices, namely fault-tolerant quantum logic gates, requires
conditional quantum dynamics, in which one subsystem undergoes a coherent
evolution that depends on the quantum state of another subsystem. In
particular, the subsystem may acquire a conditional phase shift. Here we
consider a novel scenario in which this phase is of geometric rather than
dynamical origin. As the conditional geometric (Berry) phase depends only on
the geometry of the path executed it is resilient to certain types of errors,
and offers the potential of an intrinsically fault-tolerant way of performing
quantum gates. Nuclear Magnetic Resonance (NMR) has already been used to
demonstrate both simple quantum information processing and Berry's phase. Here
we report an NMR experiment which implements a conditional Berry phase, and
thus a controlled phase shift gate. This constitutes the first elementary
geometric quantum computation.
|
[
{
"version": "v1",
"created": "Wed, 13 Oct 1999 16:56:58 GMT"
},
{
"version": "v2",
"created": "Wed, 5 Jan 2000 15:13:45 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Jones",
"J. A.",
""
],
[
"Vedral",
"V.",
""
],
[
"Ekert",
"A.",
""
],
[
"Castagnoli",
"G.",
""
]
] |
quant-ph/9910053
|
Vadim Kostrykin
|
Vadim Kostrykin and Robert Schrader
|
Kirchhoff's Rule for Quantum Wires. II: The Inverse Problem with
Possible Applications to Quantum Computers
|
16 pages
|
Fortschritte der Physik 48 (2000), 703 - 716
|
10.1002/1521-3978(200008)48:8<703::AID-PROP703>3.0.CO;2-O
| null |
quant-ph
| null |
In this article we continue our investigations of one particle quantum
scattering theory for Schroedinger operators on a set of connected (idealized
one-dimensional) wires forming a graph with an arbitrary number of open ends.
The Hamiltonian is given as minus the Laplace operator with suitable linear
boundary conditions at the vertices (the local Kirchhoff law). In ``Kirchhoff's
rule for quantum wires'' [J. Phys. A: Math. Gen. 32, 595 - 630 (1999)] we
provided an explicit algebraic expression for the resulting (on-shell) S-matrix
in terms of the boundary conditions and the lengths of the internal lines and
we also proved its unitarity. Here we address the inverse problem in the
simplest context with one vertex only but with an arbitrary number of open
ends. We provide an explicit formula for the boundary conditions in terms of
the S-matrix at a fixed, prescribed energy. We show that any unitary $n\times
n$ matrix may be realized as the S-matrix at a given energy by choosing
appropriate (unique) boundary conditions. This might possibly be used for the
design of elementary gates in quantum computing. As an illustration we
calculate the boundary conditions associated to the unitary operators of some
elementary gates for quantum computers and raise the issue whether in general
the unitary operators associated to quantum gates should rather be viewed as
scattering operators instead of time evolution operators for a given time
associated to a quantum mechanical Hamiltonian.
|
[
{
"version": "v1",
"created": "Wed, 13 Oct 1999 18:40:37 GMT"
}
] | 2015-06-26T00:00:00 |
[
[
"Kostrykin",
"Vadim",
""
],
[
"Schrader",
"Robert",
""
]
] |
quant-ph/9910054
|
Tony Wong
|
T. Wong, Ozgur Mustecaplioglu, L. You and M. Lewenstein
|
Scattering of short laser pulses from trapped fermions
|
updated figures and revised content, submitted to Phys.Rev.A
| null |
10.1103/PhysRevA.62.033608
| null |
quant-ph cond-mat
| null |
We investigate the scattering of intense short laser pulses off trapped cold
fermionic atoms. We discuss the sensitivity of the scattered light to the
quantum statistics of the atoms. The temperature dependence of the scattered
light spectrum is calculated. Comparisons are made with a system of classical
atoms who obey Maxwell-Boltzmann statistics. We find the total scattering
increases as the fermions become cooler but eventually tails off at very low
temperatures (far below the Fermi temperature). At these low temperatures the
fermionic degeneracy plays an important role in the scattering as it inhibits
spontaneous emission into occupied energy levels below the Fermi surface. We
demonstrate temperature dependent qualitative changes in the differential and
total spectrum can be utilized to probe quantum degeneracy of trapped Fermi gas
when the total number of atoms are sufficiently large $(\geq 10^6)$. At smaller
number of atoms, incoherent scattering dominates and it displays weak
temperature dependence.
|
[
{
"version": "v1",
"created": "Wed, 13 Oct 1999 20:33:29 GMT"
},
{
"version": "v2",
"created": "Thu, 4 Nov 1999 16:49:27 GMT"
},
{
"version": "v3",
"created": "Mon, 29 Nov 1999 19:27:11 GMT"
},
{
"version": "v4",
"created": "Tue, 28 Mar 2000 21:12:40 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Wong",
"T.",
""
],
[
"Mustecaplioglu",
"Ozgur",
""
],
[
"You",
"L.",
""
],
[
"Lewenstein",
"M.",
""
]
] |
quant-ph/9910055
|
Eduardo Souza Fraga
|
C. A. A. de Carvalho, R. M. Cavalcanti, E. S. Fraga and S. E. Jor\'as
|
Semiclassical approximation to the partition function of a particle in D
dimensions
|
REVTEX,14 pages, 2 figures, final version to appear in Phys. Rev. E
|
Phys.Rev. E61 (2000) 6392
|
10.1103/PhysRevE.61.6392
|
UCLA/99/TEP/33
|
quant-ph cond-mat.stat-mech hep-ph hep-th
| null |
We use a path integral formalism to derive the semiclassical series for the
partition function of a particle in D dimensions. We analyze in particular the
case of attractive central potentials, obtaining explicit expressions for the
fluctuation determinant and for the semiclassical two-point function in the
special cases of the harmonic and single-well quartic anharmonic oscillators.
The specific heat of the latter is compared to precise WKB estimates. We
conclude by discussing the possible extension of our results to field theories.
|
[
{
"version": "v1",
"created": "Wed, 13 Oct 1999 23:22:38 GMT"
},
{
"version": "v2",
"created": "Wed, 15 Mar 2000 01:01:05 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"de Carvalho",
"C. A. A.",
""
],
[
"Cavalcanti",
"R. M.",
""
],
[
"Fraga",
"E. S.",
""
],
[
"Jorás",
"S. E.",
""
]
] |
quant-ph/9910056
|
Crispin Gardiner
|
C.W. Gardiner, J. Ye, H.C. Nagerl and H.J. Kimble
|
Evaluation of heating effects on atoms trapped in an optical trap
|
3 pages TeX plus 4 postscript files
| null |
10.1103/PhysRevA.61.045801
| null |
quant-ph
| null |
We solve a stochastic master equation based on the theory of Savard et al.
[T.A. Savard, K.M. O'Hara and J.E. Thomas, Phys. Rev. A 56, R1095 (1997)] for
heating arising from fluctuations in the trapping laser intensity. We compare
with recent experiments of Ye et. al. [J. Ye, D.W. Vernooy and H.J. Kimble,
Trapping of single atoms in cavity QED, quant-ph/9908007, Phys. Rev. Lett.
(1999 in press)], and find good agreement with the experimental measurements of
the distribution of trap occupancy times. The major cause of trap loss arises
from the broadening of the energy distribution of the trapped atom, rather than
the mean heating rate, which is a very much smaller effect.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 01:09:38 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Gardiner",
"C. W.",
""
],
[
"Ye",
"J.",
""
],
[
"Nagerl",
"H. C.",
""
],
[
"Kimble",
"H. J.",
""
]
] |
quant-ph/9910057
|
Bill Munro
|
W. J. Munro, G. J. Milburn and B. C. Sanders
|
Entangled Coherent State Qubits in an Ion Trap
|
4 pages, No figures, accepted to PRA, minor change
|
Physical Review A 62, 052108 (2000).
|
10.1103/PhysRevA.62.052108
| null |
quant-ph
| null |
We show how entangled qubits can be encoded as entangled coherent states of
two-dimensional centre-of-mass vibrational motion for two ions in an ion trap.
The entangled qubit state is equivalent to the canonical Bell state, and we
introduce a proposal for entanglement transfer from the two vibrational modes
to the electronic states of the two ions in order for the Bell state to be
detected by resonance fluorescence shelving methods.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 01:17:46 GMT"
},
{
"version": "v2",
"created": "Mon, 7 Aug 2000 01:26:17 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Munro",
"W. J.",
""
],
[
"Milburn",
"G. J.",
""
],
[
"Sanders",
"B. C.",
""
]
] |
quant-ph/9910058
|
Dagomir Kaszlikowski
|
Marek Zukowski, Dagomir Kaszlikowski, Adam Baturo and Jan-{\AA}ke
Larsson
|
Strengthening the Bell Theorem: conditions to falsify local realism in
an experiment
|
4 pages, RevTex
| null | null | null |
quant-ph
| null |
The two-particle correlation obtained from the quantum state used in the Bell
inequality is sinusoidal, but the standard Bell inequality only uses two pairs
of settings and not the whole sinusoidal curve. The highest to-date visibility
of an explicit model reproducing sinusoidal fringes is 2/pi. We conjecture from
a numerical approach presented in this paper that the highest possible
visibility for a local hidden variable model reproducing the sinusoidal
character of the quantum prediction for the two-particle Bell-type interference
phenomena is 1/sqrt2. In addition, the approach can be applied directly to
experimental data.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 09:55:36 GMT"
}
] | 2022-03-16T00:00:00 |
[
[
"Zukowski",
"Marek",
""
],
[
"Kaszlikowski",
"Dagomir",
""
],
[
"Baturo",
"Adam",
""
],
[
"Larsson",
"Jan-Åke",
""
]
] |
quant-ph/9910059
|
Markus Grassl
|
Markus Grassl, Willi Geiselmann, and Thomas Beth (Universitaet
Karlsruhe)
|
Quantum Reed-Solomon Codes
|
Summary only (2 pages), for the full version see: Proceedings Applied
Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC-13), Lecture
Notes in Computer Science 1719, Springer, 1999
| null |
10.1007/3-540-46796-3_23
| null |
quant-ph
| null |
After a brief introduction to both quantum computation and quantum error
correction, we show how to construct quantum error-correcting codes based on
classical BCH codes. With these codes, decoding can exploit additional
information about the position of errors. This error model - the quantum
erasure channel - is discussed. Finally, parameters of quantum BCH codes are
provided.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 10:56:26 GMT"
}
] | 2011-10-20T00:00:00 |
[
[
"Grassl",
"Markus",
"",
"Universitaet\n Karlsruhe"
],
[
"Geiselmann",
"Willi",
"",
"Universitaet\n Karlsruhe"
],
[
"Beth",
"Thomas",
"",
"Universitaet\n Karlsruhe"
]
] |
quant-ph/9910060
|
Markus Grassl
|
Markus Grassl and Thomas Beth (Universitaet Karlsruhe)
|
Quantum BCH Codes
| null |
Proceedings X. International Symposium on Theoretical Electrical
Engineering, Magdeburg, 1999, pp. 207-212
| null | null |
quant-ph
| null |
After a brief introduction to both quantum computation and quantum error
correction, we show how to construct quantum error-correcting codes based on
classical BCH codes. With these codes, decoding can exploit additional
information about the position of errors. This error model - the quantum
erasure channel - is discussed. Finally, parameters of quantum BCH codes are
provided.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 13:10:06 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Grassl",
"Markus",
"",
"Universitaet Karlsruhe"
],
[
"Beth",
"Thomas",
"",
"Universitaet Karlsruhe"
]
] |
quant-ph/9910061
|
Markus Grassl
|
Markus Grassl and Thomas Beth (Universitaet Karlsruhe)
|
Cyclic Quantum Error-Correcting Codes and Quantum Shift Registers
|
18 pages, 15 figures, submitted to Proc. R. Soc. A
|
Proc. R. Soc. Lond. A (2000) 456, 2689-2706
|
10.1098/rspa.2000.0633
| null |
quant-ph
| null |
We transfer the concept of linear feed-back shift registers to quantum
circuits. It is shown how to use these quantum linear shift registers for
encoding and decoding cyclic quantum error-correcting codes.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 11:09:17 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Grassl",
"Markus",
"",
"Universitaet Karlsruhe"
],
[
"Beth",
"Thomas",
"",
"Universitaet Karlsruhe"
]
] |
quant-ph/9910062
|
Izumi Tsutsui
|
Tamas Fulop and Izumi Tsutsui
|
A Free Particle on a Circle with Point Interaction
|
Plain TeX, 14 pages
| null |
10.1016/S0375-9601(99)00850-6
|
KEK Preprint 99-115
|
quant-ph math-ph math.MP
| null |
The quantum dynamics of a free particle on a circle with point interaction is
described by a U(2) family of self-adjoint Hamiltonians. We provide a
classification of the family by introducing a number of subfamilies and thereby
analyze the spectral structure in detail. We find that the spectrum depends on
a subset of U(2) parameters rather than the entire U(2) needed for the
Hamiltonians, and that in particular there exists a subfamily in U(2) where the
spectrum becomes parameter-independent. We also show that, in some specific
cases, the WKB semiclassical approximation becomes exact (modulo phases) for
the system.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 11:34:26 GMT"
}
] | 2015-06-26T00:00:00 |
[
[
"Fulop",
"Tamas",
""
],
[
"Tsutsui",
"Izumi",
""
]
] |
quant-ph/9910063
|
Michael M. Wolf
|
Reinhard F. Werner and Michael M. Wolf
|
Bell's inequalities for states with positive partial transpose
|
4 pages, REVTeX
|
Phys. Rev. A 61, 062102 (2000)
|
10.1103/PhysRevA.61.062102
| null |
quant-ph
| null |
We study violations of n particle Bell inequalities (as developed by Mermin
and Klyshko) under the assumption that suitable partial transposes of the
density operator are positive. If all transposes with respect to a partition of
the system into p subsystems are positive, the best upper bound on the
violation is 2^((n-p)/2). In particular, if the partial transposes with respect
to all subsystems are positive, the inequalities are satisfied. This is
supporting evidence for a recent conjecture by Peres that positivity of partial
transposes could be equivalent to existence of local classical models.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 13:01:49 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Werner",
"Reinhard F.",
""
],
[
"Wolf",
"Michael M.",
""
]
] |
quant-ph/9910064
|
Kal Gerd Vollbrecht
|
K.G.H. Vollbrecht and R.F. Werner
|
Why Two Qubits Are Special
|
16 pages, TeX
| null |
10.1063/1.1286032
| null |
quant-ph
| null |
We analyze some special properties of a system of two qubits, and in
particular of the so-called Bell basis for this system, which have played an
important role in recent papers on entanglement of qubits. In particular, we
show which of these properties may be generalized to higher dimension. We give
a general construction for bases of maximally entangled vectors in any
dimension, but show that none of the properties related to complex conjugation
in Bell basis can be realized for higher dimensional analogs.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 14:01:40 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Vollbrecht",
"K. G. H.",
""
],
[
"Werner",
"R. F.",
""
]
] |
quant-ph/9910065
|
Carlo Presilla
|
Fabrizio Cametti, Giovanni Jona-Lasinio, Carlo Presilla, Fabio
Toninelli
|
Comparison between quantum and classical dynamics in the effective
action formalism
|
18 pages, 2 figures, contribution to the proceedings of the
International School of Physics ``Enrico Fermi'', Course CXLIII
|
Proceedings of the International School of Physics ``Enrico
Fermi'', Course CXLIII, edited by G. Casati, I. Guarneri, U. Smilansky (IOS
Press, Amsterdam 2000), p. 431-448.
| null | null |
quant-ph chao-dyn cond-mat nlin.CD
| null |
No abstract available
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 15:39:45 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Cametti",
"Fabrizio",
""
],
[
"Jona-Lasinio",
"Giovanni",
""
],
[
"Presilla",
"Carlo",
""
],
[
"Toninelli",
"Fabio",
""
]
] |
quant-ph/9910066
|
Maria A. Lledo
|
Richard Arens, V. S. Varadarajan
|
On the concept of EPR states and their structure
|
Plain TeX, 22 pages
|
Journal of Mathematical Physics, vol. 41, n. 2 (2000) 638.
|
10.1063/1.533156
| null |
quant-ph
| null |
In this paper the notion of an EPR state for the composite S of two quantum
systems S1, S2, relative to S2 and a set O of bounded observables of S2, is
introduced in the spirit of classical examples of Einstein-Podolsky-Rosen and
Bohm. We restrict ourselves mostly to EPR states of finite norm. The main
results are contained in Theorem 3,4,5,6 in section III and imply that if the
EPR states of finite norm relative to (S2, O) exist, then the elements of O
have discrete probability distributions and the Von Neuman algebra generated by
O is essentially inbeddable inside S1 by an antiunitary map. The EPR states
then correspond to the different imbeddings and certain additional parameters,
and are explicitely given by formulae which generalize the famous example of
Bohm. If O generates all bounded observables, S2 must be of finite dimension
and can be imbedded inside S1 by an antiunitary map, and the EPR states
relative to S2 are then in canonical bijection with the different imbeddings of
S2 inside S1; moreover they are given by formulae which are exactly those of
the generalized Bohm states. The notion of EPR states of infinite norm is also
explored and it is shown that the original state of Einstein-Podolsky-Rosen can
be realized as a renormalized limit of EPR states of finite quantum systems
considered by Weyl, Schwinger and many others. Finally, a family of states of
infinite norm generalizing the Einstein-Podolsky-Rosen example is explicitly
given.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 17:17:34 GMT"
},
{
"version": "v2",
"created": "Fri, 15 Oct 1999 10:05:08 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Arens",
"Richard",
""
],
[
"Varadarajan",
"V. S.",
""
]
] |
quant-ph/9910067
|
Daniel Gottesman
|
Daniel Gottesman
|
On the Theory of Quantum Secret Sharing
|
9 pages, REVTeX
|
Phys. Rev. A 61, 042311 (2000)
|
10.1103/PhysRevA.61.042311
| null |
quant-ph
| null |
I present a variety of results on the theory of quantum secret sharing. I
show that any mixed state quantum secret sharing scheme can be derived by
discarding a share from a pure state scheme, and that the size of each share in
a quantum secret sharing scheme must be at least as large as the size of the
secret. I show that the only constraints on the existence of quantum secret
sharing schemes with general access structures are monotonicity (if a set is
authorized, so are larger sets) and the no-cloning theorem. I also discuss some
aspects of sharing classical secrets using quantum states. In this situation,
the size of each share can sometimes be half the size of the classical secret.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 19:00:54 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Gottesman",
"Daniel",
""
]
] |
quant-ph/9910068
|
Ilki Kim
|
Ilki Kim, Guenter Mahler
|
Quantum chaos in quantum Turing machines
|
Accepted for publication in Phys. Lett. A, 3 figures
| null |
10.1016/S0375-9601(99)00720-3
| null |
quant-ph
| null |
We investigate a 2-spin quantum Turing architecture, in which discrete local
rotations \alpha_m of the Turing head spin alternate with quantum controlled
NOT-operations. We demonstrate that a single chaotic parameter input \alpha_m
leads to a chaotic dynamics in the entire Hilbert-space.
|
[
{
"version": "v1",
"created": "Thu, 14 Oct 1999 23:14:01 GMT"
},
{
"version": "v2",
"created": "Mon, 18 Oct 1999 15:29:02 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Kim",
"Ilki",
""
],
[
"Mahler",
"Guenter",
""
]
] |
quant-ph/9910069
|
Kazuyuki Fujii
|
Kazuyuki Fujii
|
Note on Coherent States and Adiabatic Connections, Curvatures
|
Latex file, 12 pages
|
J.Math.Phys. 41 (2000) 4406-4412
|
10.1063/1.533350
| null |
quant-ph hep-th math-ph math.MP
| null |
We give a possible generalization to the example in the paper of Zanardi and
Rasetti (quant-ph/9904011). For this generalized one explicit forms of
adiabatic connection, curvature and etc. are given.
|
[
{
"version": "v1",
"created": "Fri, 15 Oct 1999 01:46:04 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Fujii",
"Kazuyuki",
""
]
] |
quant-ph/9910070
|
Fabrizio Illuminati
|
N. Cufaro Petroni, S. De Martino, S. De Siena, and F. Illuminati
|
Controlled quantum evolutions and transitions
|
24 pages, 4 figures
|
J. Phys. A 32, 7489-7508 (1999)
|
10.1088/0305-4470/32/43/305
| null |
quant-ph
| null |
We study the nonstationary solutions of Fokker-Planck equations associated to
either stationary or nonstationary quantum states. In particular we discuss the
stationary states of quantum systems with singular velocity fields. We
introduce a technique that allows to realize arbitrary evolutions ruled by
these equations, to account for controlled quantum transitions. The method is
illustrated by presenting the detailed treatment of the transition
probabilities and of the controlling time-dependent potentials associated to
the transitions between the stationary, the coherent, and the squeezed states
of the harmonic oscillator. Possible extensions to anharmonic systems and mixed
states are briefly discussed and assessed.
|
[
{
"version": "v1",
"created": "Fri, 15 Oct 1999 10:11:55 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Petroni",
"N. Cufaro",
""
],
[
"De Martino",
"S.",
""
],
[
"De Siena",
"S.",
""
],
[
"Illuminati",
"F.",
""
]
] |
quant-ph/9910071
|
Rajkumar Roychoudhury
|
A.Sinha and R.Roychoudhury
|
WKB and MAF Quantization Rules for Spatially Confined Quantum Mechanical
Systems
| null |
Int.J.Quant.Chemistry 73 (1999) 497
| null | null |
quant-ph
| null |
A formalism is developed to obtain the energy eigenvalues of spatially
confined quantum mechanical systems in the framework of The usual WKB and MAF
methods. The technique is applied to three different cases,viz one dimensional
Harmonic Oscillators,Quartic Oscillators and a boxed-in charged particle in
electric field.
|
[
{
"version": "v1",
"created": "Fri, 15 Oct 1999 12:53:44 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Sinha",
"A.",
""
],
[
"Roychoudhury",
"R.",
""
]
] |
quant-ph/9910072
|
Howard N. Barnum
|
Howard N. Barnum
|
Quantum secure identification using entanglement and catalysis
|
7 pages; no figures
| null | null | null |
quant-ph
| null |
I consider the use of entanglement between two parties to enable one to
authenticate her identity to another over a quantum communication channel.
Exploiting the phenomenon of entanglement-catalyzed transformations between
pure states gives a potentially reusable entangled identification token. In
analyzing this, I consider the independently interesting problem of the best
possible approximation to a given pure entangled state realizable using local
actions and classical communication by parties sharing a different entangled
state.
|
[
{
"version": "v1",
"created": "Fri, 15 Oct 1999 15:52:35 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Barnum",
"Howard N.",
""
]
] |
quant-ph/9910073
|
Yu Shi
|
Yu Shi
|
Entanglement Between Bose-Einstein Condensates
|
18 pages. Eq. (73) is changed
|
Int. J. Mod. Phys. B, Vol. 15 (2001) 3007-3030
|
10.1142/S0217979201007154
| null |
quant-ph
| null |
For a Bose condensate in a double-well potential or with two
Josephson-coupled internal states, the condensate wavefunction is a
superposition. Here we consider coupling two such Bose condensates, and suggest
the existence of a joint condensate wavefunction, which is in general a
superposition of all products of the bases condensate wavefunctions of the two
condensates. The corresponding many-body state is a product of such superposed
wavefunctions, with appropriate symmetrization. These states may be potentially
useful for quantum computation. There may be robustness and stability due to
macroscopic occupation of a same single particle state. The nonlinearity of the
condensate wavefunction due to particle-particle interaction may be utilized to
realize nonlinear quantum computation, which was suggested to be capable of
solving NP-complete problems.
|
[
{
"version": "v1",
"created": "Fri, 15 Oct 1999 16:32:13 GMT"
},
{
"version": "v2",
"created": "Sun, 17 Oct 1999 23:52:34 GMT"
},
{
"version": "v3",
"created": "Wed, 20 Oct 1999 00:07:10 GMT"
},
{
"version": "v4",
"created": "Tue, 1 Feb 2000 16:11:38 GMT"
},
{
"version": "v5",
"created": "Tue, 27 Jun 2000 21:53:24 GMT"
},
{
"version": "v6",
"created": "Sat, 9 Jun 2001 21:53:01 GMT"
},
{
"version": "v7",
"created": "Mon, 20 Aug 2001 10:03:38 GMT"
},
{
"version": "v8",
"created": "Thu, 27 Jun 2002 10:02:26 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Shi",
"Yu",
""
]
] |
quant-ph/9910074
|
Euro Spallucci
|
S.Ansoldi, A.Aurilia, E.Spallucci
|
Particle Propagator in Elementary Quantum Mechanics: a New Path Integral
Derivation
|
LaTex uses iopams package, 15pages, no figures, in print on Euro.J.of
Phys
|
Eur.J.Phys. 21 (2000) 1-12
|
10.1088/0143-0807/21/1/301
| null |
quant-ph hep-th
| null |
This paper suggests a new way to compute the path integral for simple quantum
mechanical systems. The new algorithm originated from previous research in
string theory. However, its essential simplicity is best illustrated in the
case of a free non relativistic particle, discussed here, and can be
appreciated by most students taking an introductory course in Quantum
Mechanics. Indeed, the emphasis is on the role played by the {\it entire family
of classical trajectories} in terms of which the path integral is computed
exactly using a functional representation of the Dirac delta-distribution. We
argue that the new algorithm leads to a deeper insight into the connection
between classical and quantum systems, especially those encountered in high
energy physics.
|
[
{
"version": "v1",
"created": "Sat, 16 Oct 1999 08:30:01 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Ansoldi",
"S.",
""
],
[
"Aurilia",
"A.",
""
],
[
"Spallucci",
"E.",
""
]
] |
quant-ph/9910075
|
Lieven Vandersypen
|
Lieven M.K. Vandersypen (1 and 2), Matthias Steffen (1 and 2), Mark H.
Sherwood (2), Costantino S. Yannoni (2), Gregory Breyta (2) and Isaac L.
Chuang (2) ((1) Solid State and Photonics Laboratory, Stanford University (2)
IBM Almaden Research Center)
|
Implementation of a three-quantum-bit search algorithm
|
Published in Applied Physics Letters, vol. 76, no. 5, 31 January
2000, p.646-648, after minor revisions. (revtex, mypsfig2.sty, 3 figures)
| null |
10.1063/1.125846
| null |
quant-ph
| null |
We report the experimental implementation of Grover's quantum search
algorithm on a quantum computer with three quantum bits. The computer consists
of molecules of $^{13}$C-labeled CHFBr$_2$, in which the three weakly coupled
spin-1/2 nuclei behave as the bits and are initialized, manipulated, and read
out using magnetic resonance techniques. This quantum computation is made
possible by the introduction of two techniques which significantly reduce the
complexity of the experiment and by the surprising degree of cancellation of
systematic errors which have previously limited the total possible number of
quantum gates.
|
[
{
"version": "v1",
"created": "Sat, 16 Oct 1999 21:51:41 GMT"
},
{
"version": "v2",
"created": "Tue, 1 Feb 2000 20:22:08 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Vandersypen",
"Lieven M. K.",
"",
"1 and 2"
],
[
"Steffen",
"Matthias",
"",
"1 and 2"
],
[
"Sherwood",
"Mark H.",
""
],
[
"Yannoni",
"Costantino S.",
""
],
[
"Breyta",
"Gregory",
""
],
[
"Chuang",
"Isaac L.",
""
]
] |
quant-ph/9910076
|
Gui Lu Long
|
Gui Lu Long, Yan Song Li, Wei Lin Zhang and Chang Cun Tu
|
An intrinsic limitation on the size of quantum database
|
6 pages, 3 figures
| null | null | null |
quant-ph
| null |
It is found that Grover's quantum search algorithm is not robust against
phase inversion and Hadmard transformation inaccuracies. Imperfect phase
inversions and Hadmard-Walsh transformations in Grover's quantum search
algorithm lead to reductions in the maximum probability of the marked state and
affect the efficiency of the algorithm. even in the absence of decoherence.
Given the degrees of inaccuracies, we find that to guarantee half rate of
success, the size of the database should be in the order of $O({1 \over
\delta^2})$, where $\delta$ is the uncertainty.
|
[
{
"version": "v1",
"created": "Sat, 16 Oct 1999 23:51:40 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Long",
"Gui Lu",
""
],
[
"Li",
"Yan Song",
""
],
[
"Zhang",
"Wei Lin",
""
],
[
"Tu",
"Chang Cun",
""
]
] |
quant-ph/9910077
|
Reinhard Werner
|
R.F. Werner (Inst. Math. Phys., TU-Braunschweig)
|
EPR states for von Neumann algebras
|
2 pages, RevTeX
| null | null |
TUBS/IMaPh-99-xx
|
quant-ph
| null |
In a recent paper [quant-ph/9910066], Arens and Varadarajan gave a
characterization of what they call EPR-states on a bipartite composite quantum
system. By definition, such states imply perfect correlation between suitable
pairs of observables in the two subsystems, and the task is to determine all
such correlated pairs for a given state. In this note the argument is shortened
and simplified, and at the same time extended to observables in general von
Neumann algebras, which naturally arise in quantum field theory.
|
[
{
"version": "v1",
"created": "Sun, 17 Oct 1999 22:26:27 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Werner",
"R. F.",
"",
"Inst. Math. Phys., TU-Braunschweig"
]
] |
quant-ph/9910078
|
Asher Peres
|
Asher Peres
|
Popper's experiment and the Copenhagen interpretation
|
13 pages LaTeX, one separate page of figures, submitted to SHPMP
|
Stud. History Philos. Modern Physics 33 (2002) 23
| null | null |
quant-ph
| null |
Popper conceived an experiment whose analysis led to a result that he deemed
absurd. Popper wrote that his reasoning was based on the Copenhagen
interpretation and therefore invalidated the latter. Actually, Popper's
argument involves counterfactual reasoning and violates Bohr's complementarity
principle. The absurdity of Popper's result only confirms Bohr's approach.
|
[
{
"version": "v1",
"created": "Mon, 18 Oct 1999 08:16:30 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Peres",
"Asher",
""
]
] |
quant-ph/9910079
|
Bjorn Jensen
|
B. Jensen and I. Brevik
|
Transition Radiation and the Origin of Sonoluminescence
|
13 pages. Discussion improved and references added. To appear in
Phys. Rev. E
|
Phys.Rev.E61:6639,2000
|
10.1103/PhysRevE.61.6639
| null |
quant-ph hep-th physics.flu-dyn
| null |
It has been shown by Liberati et al. [quant-ph/9904013] that a dielectric
medium with a time-dependent refractive index may produce photons. We point out
that a free electric charge which interacts with such a medium will emit
quantum mechanically modified transition radiation in which an arbitrary odd
number of photons will be present. Excited atomic electrons will also exhibit a
similarly modified emission spectrum. This effect may be directly observable in
connection with sonoluminescence.
|
[
{
"version": "v1",
"created": "Mon, 18 Oct 1999 21:12:00 GMT"
},
{
"version": "v2",
"created": "Mon, 20 Mar 2000 11:51:45 GMT"
}
] | 2009-01-14T00:00:00 |
[
[
"Jensen",
"B.",
""
],
[
"Brevik",
"I.",
""
]
] |
quant-ph/9910080
|
Mark M. Mims
|
V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria
|
Purification of impure density operators and the recovery of
entanglements
|
6 pages
| null | null |
CPP-99-17
|
quant-ph
| null |
The need to retain the relative phases in quantum mechanics implies an
addition law parametrized by a phase of two density operators required for the
purification of a density matrix. This is shown with quantum tomography and the
Wigner function. Entanglement is determined in terms of phase dependent
multiplication.
|
[
{
"version": "v1",
"created": "Mon, 18 Oct 1999 21:14:32 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Man'ko",
"V. I.",
""
],
[
"Marmo",
"G.",
""
],
[
"Sudarshan",
"E. C. G.",
""
],
[
"Zaccaria",
"F.",
""
]
] |
quant-ph/9910081
|
Dorit Aharonov
|
Dorit Aharonov
|
A Quantum to Classical Phase Transition in Noisy Quantum Computers
|
15 pages. Latex2e plus one figure in eps file
| null |
10.1103/PhysRevA.62.062311
| null |
quant-ph
| null |
The fundamental problem of the transition from quantum to classical physics
is usually explained by decoherence, and viewed as a gradual process. The study
of entanglement, or quantum correlations, in noisy quantum computers implies
that in some cases the transition from quantum to classical is actually a phase
transition. We define the notion of entanglement length in $d$-dimensional
noisy quantum computers, and show that a phase transition in entanglement
occurs at a critical noise rate, where the entanglement length transforms from
infinite to finite. Above the critical noise rate, macroscopic classical
behavior is expected, whereas below the critical noise rate, subsystems which
are macroscopically distant one from another can be entangled.
The macroscopic classical behavior in the super-critical phase is shown to
hold not only for quantum computers, but for any quantum system composed of
macroscopically many finite state particles, with local interactions and local
decoherence, subjected to some additional conditions.
This phenomenon provides a possible explanation to the emergence of classical
behavior in such systems. A simple formula for an upper bound on the
entanglement length of any such system in the super-critical phase is given,
which can be tested experimentally.
|
[
{
"version": "v1",
"created": "Tue, 19 Oct 1999 02:19:39 GMT"
}
] | 2016-09-08T00:00:00 |
[
[
"Aharonov",
"Dorit",
""
]
] |
quant-ph/9910082
|
Larry Horwitz
|
Y. Strauss and L.P. Horwitz
|
Representation of the Resonances of a Relativistic Quantum Field
Theoretical Model in Lax-Phillips Scattering Theory
|
Tex, 15 pages, report TAUP 2588-99. Proceedings of Solvay Conference
Les Treilles 3-8 July, 1999. To be published in Chaos, Solitons and Fractals
| null | null | null |
quant-ph
| null |
We apply the quantum Lax-Phillips scattering theory to a relativistically
covariant quantum field theoretical form of the (soluble) Lee model. We
construct the translation representations with the help of the wave operators,
and show that the resulting Lax-Phillips $S$-matrix is an inner function (the
Lax-Phillips theory is essentially a theory of translation invariant
subspaces). We then discuss the non-relativistic limit of this theory, and show
that the resulting kinematic relations coincide with the conditions required
for the Galilean description of a decaying system.
|
[
{
"version": "v1",
"created": "Tue, 19 Oct 1999 16:11:41 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Strauss",
"Y.",
""
],
[
"Horwitz",
"L. P.",
""
]
] |
quant-ph/9910083
|
Marcelo Aparecido Marchiolli
|
Marcelo A. Marchiolli, Salomon S. Mizrahi, Victor V. Dodonov
|
Marginal and correlation distribution functions in the squeezed-states
representation
|
11 pages, 12 EPS figures, figures 1(a)-(d) can be obtained with the
first author, accepted for publication in Journal Physics A
| null |
10.1088/0305-4470/32/49/311
| null |
quant-ph
| null |
Here we consider the Husimi function P for the squeezed states and calculate
the marginal and correlation distribution functions when P is projected onto
the photon number states. According to the value of the squeezing parameter one
verifies the occurence of oscillations and beats as already appointed in the
literature. We verify that these phenomena are entirely contained in the
correlation function. In particular, we show that since Husimi and its marginal
distribution functions satisfy partial differential equations where the squeeze
parameter plays the role of time, the solutions (the squeezed functions
obtained from initial unsqueezed functions) can be expressed by means of
kernels responsible for the propagation of squeezing. From the calculational
point of view, this method presents advantages for calculating the marginal
distribution functions (compared to a direct integration over one of the two
phase-space variables of P) since one can use the symmetry properties of the
differential equations.
|
[
{
"version": "v1",
"created": "Tue, 19 Oct 1999 18:20:39 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Marchiolli",
"Marcelo A.",
""
],
[
"Mizrahi",
"Salomon S.",
""
],
[
"Dodonov",
"Victor V.",
""
]
] |
quant-ph/9910084
|
Pieter Kok
|
Pieter Kok and Samuel L. Braunstein
|
Detection devices in entanglement-based optical state preparation
|
8 pages, 4 figures REVTeX
|
Phys. Rev. A 63, 033812 (2001)
|
10.1103/PhysRevA.63.033812
| null |
quant-ph
| null |
We study the use of detection devices in entanglement-based state
preparation. In particular we consider optical detection devices such as
single-photon sensitivity detectors, single-photon resolution detectors and
detector cascades (with an emphasis on the performance of realistic detectors).
We develop an extensive theory for the use of these devices. In
entanglement-based state preparation we perform measurements on subsystems, and
we therefore need precise bounds on the distinguishability of these
measurements (this is fundamentally different from, e.g., tomography, where an
ensemble of identical states is used to determine probability distributions,
etc.). To this end, we introduce the confidence of preparation, which may also
be used to quantify the performance of detection devices in entanglement-based
preparation. We give a general expression for detector cascades of arbitrary
size for the detection up to two photons. We show that, contrary to the general
belief, cascading does not give a practical advantage over detectors with
single-photon resolution in entanglement-based state preparation.
|
[
{
"version": "v1",
"created": "Wed, 20 Oct 1999 12:08:17 GMT"
},
{
"version": "v2",
"created": "Tue, 20 Feb 2001 12:00:37 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Kok",
"Pieter",
""
],
[
"Braunstein",
"Samuel L.",
""
]
] |
quant-ph/9910085
|
Massimiliano F. Sacchi
|
G. Mauro D'Ariano, Massimiliano F. Sacchi, Prem Kumar
|
Universal homodyne tomography with a single local oscillator
|
12 pages, 5 figures (8 eps files)
|
Phys. Rev. A, 61, 013806 (2000).
|
10.1103/PhysRevA.61.013806
| null |
quant-ph
| null |
We propose a general method for measuring an arbitrary observable of a
multimode electromagnetic field using homodyne detection with a single local
oscillator. In this method the local oscillator scans over all possible linear
combinations of the modes. The case of two modes is analyzed in detail and the
feasibility of the measurement is studied on the basis of Monte-Carlo
simulations. We also provide an application of this method in tomographic
testing of the GHZ state.
|
[
{
"version": "v1",
"created": "Wed, 20 Oct 1999 12:41:19 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"D'Ariano",
"G. Mauro",
""
],
[
"Sacchi",
"Massimiliano F.",
""
],
[
"Kumar",
"Prem",
""
]
] |
quant-ph/9910086
|
Martin Plenio
|
Martin B. Plenio (Imperial College, London, UK)
|
The Holevo bound and Landauer's principle
|
to appear in Physics Letters A
|
Phys. Lett. A 263, 281 - 284 (1999)
|
10.1016/S0375-9601(99)00737-9
| null |
quant-ph
| null |
Landauer's principle states that the erasure of information generates a
corresponding amount of entropy in the environment. We show that Landauer's
principle provides an intuitive basis for Holevo bound on the classical
capacity of a quantum channel.
|
[
{
"version": "v1",
"created": "Wed, 20 Oct 1999 13:36:39 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Plenio",
"Martin B.",
"",
"Imperial College, London, UK"
]
] |
quant-ph/9910087
|
Adrian Kent
|
Adrian Kent (DAMTP, University of Cambridge)
|
Unconditionally Secure Commitment of a Certified Classical Bit is
Impossible
|
5 pages, RevTeX. Minor clarification made distinguishing proper and
improper mixed state commitments
|
Phys. Rev. A 61, 042301 (2000)
|
10.1103/PhysRevA.61.042301
|
DAMTP-1999-51
|
quant-ph cs.CR
| null |
In a secure bit commitment protocol involving only classical physics, A
commits either a 0 or a 1 to B. If quantum information is used in the protocol,
A may be able to commit a state of the form $\alpha \ket{0} + \beta \ket{1}$.
If so, she can also commit mixed states in which the committed bit is entangled
with other quantum states under her control. We introduce here a quantum
cryptographic primitive, {\it bit commitment with a certificate of
classicality} (BCCC), which differs from standard bit commitment in that it
guarantees that the committed state has a fixed classical value. We show that
no unconditionally secure BCCC protocol based on special relativity and quantum
theory exists. We also propose complete definitions of security for quantum and
relativistic bit commitment.
|
[
{
"version": "v1",
"created": "Wed, 20 Oct 1999 21:09:56 GMT"
},
{
"version": "v2",
"created": "Wed, 3 Nov 1999 21:15:11 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Kent",
"Adrian",
"",
"DAMTP, University of Cambridge"
]
] |
quant-ph/9910088
|
Karol Zyczkowski
|
Karol Zyczkowski (Cracow/Warsaw)
|
Localization of Eigenstates & Mean Wehrl Entropy
|
7 pages in Latex with 4 pictures in .ps (included), submitted to
Physica E
|
Physica E 9, 583 (2001)
|
10.1016/S1386-9477(00)00266-6
| null |
quant-ph chao-dyn nlin.CD
| null |
Dynamics of a periodically time dependent quantum system is reflected in the
features of the eigenstates of the Floquet operator. Of the special importance
are their localization properties quantitatively characterized by the
eigenvector entropy, the inverse participation ratio or the eigenvector
statistics. Since these quantities depend on the choice of the eigenbasis, we
suggest to use the overcomplete basis of coherent states, uniquely determined
by the classical phase space. In this way we define the mean Wehrl entropy of
eigenvectors of the Floquet operator and demonstrate that this quantity is
useful to describe quantum chaotic systems.
|
[
{
"version": "v1",
"created": "Thu, 21 Oct 1999 15:24:01 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Zyczkowski",
"Karol",
"",
"Cracow/Warsaw"
]
] |
quant-ph/9910089
|
An Min Wang
|
An Min Wang
|
An Universal Quantum Network - Quantum CPU
|
8 pages, Revised version
|
Cheses Phys. Lett. Vol.18 p166 (2001) [ been shorten and revised]
|
10.1088/0256-307X/18/2/304
| null |
quant-ph
| null |
An universal quantum network which can implement a general quantum computing
is proposed. In this sense, it can be called the quantum central processing
unit (QCPU). For a given quantum computing, its realization of QCPU is just its
quantum network. QCPU is standard and easy-assemble because it only has two
kinds of basic elements and two auxiliary elements. QCPU and its realizations
are scalable, that is, they can be connected together, and so they can
construct the whole quantum network to implement the general quantum algorithm
and quantum simulating procedure.
|
[
{
"version": "v1",
"created": "Thu, 21 Oct 1999 18:34:58 GMT"
},
{
"version": "v2",
"created": "Mon, 1 Nov 1999 09:36:36 GMT"
},
{
"version": "v3",
"created": "Mon, 3 Jan 2000 12:13:35 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Wang",
"An Min",
""
]
] |
quant-ph/9910090
|
An Min Wang
|
An Min Wang
|
Quantum CPU and Quantum Simulating
|
8 pages, Revised Version
| null | null | null |
quant-ph
| null |
Making use of an universal quantum network or QCPU proposed by me [6], some
special quantum networks for simulating some quantum systems are given out.
Specially, it is obtained that the quantum network for the time evolution
operator which can simulate, in general, Schr\"odinger equation.
|
[
{
"version": "v1",
"created": "Fri, 22 Oct 1999 09:57:52 GMT"
},
{
"version": "v2",
"created": "Mon, 1 Nov 1999 09:47:36 GMT"
},
{
"version": "v3",
"created": "Mon, 3 Jan 2000 12:25:25 GMT"
}
] | 2009-09-25T00:00:00 |
[
[
"Wang",
"An Min",
""
]
] |
quant-ph/9910091
|
An Min Wang
|
An Min Wang
|
Quantum CPU and Quantum Algorithm
|
8 pages, Revised Version
|
Cheses Phys. Lett. Vol.19 p620 (2002) [ been shorten and revised]
|
10.1088/0256-307X/19/5/304
| null |
quant-ph
| null |
Making use of an universal quantum network -- QCPU proposed by
me\upcite{My1}, it is obtained that the whole quantum network which can
implement some the known quantum algorithms including Deutsch algorithm,
quantum Fourier transformation, Shor's algorithm and Grover's algorithm.
|
[
{
"version": "v1",
"created": "Fri, 22 Oct 1999 10:09:02 GMT"
},
{
"version": "v2",
"created": "Mon, 1 Nov 1999 09:56:36 GMT"
},
{
"version": "v3",
"created": "Mon, 3 Jan 2000 12:29:55 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Wang",
"An Min",
""
]
] |
quant-ph/9910092
|
Jaroslav Rehacek
|
J. Rehacek, Z. Hradil, M. Dusek, O. Haderka and M. Hendrych
|
Testing operational phase concepts in quantum optics
|
8 pages, 6 figures
| null |
10.1088/1464-4266/2/3/304
| null |
quant-ph
| null |
An experimental comparison of several operational phase concepts is
presented. In particular, it is shown that statistically motivated evaluation
of experimental data may lead to a significant improvement in phase fitting
upon the conventional Noh, Fouge'res and Mandel procedure. The analysis is
extended to the asymptotic limit of large intensities, where a strong evidence
in favor of multi--dimensional estimation procedures has been found.
|
[
{
"version": "v1",
"created": "Fri, 22 Oct 1999 13:23:22 GMT"
}
] | 2015-06-26T00:00:00 |
[
[
"Rehacek",
"J.",
""
],
[
"Hradil",
"Z.",
""
],
[
"Dusek",
"M.",
""
],
[
"Haderka",
"O.",
""
],
[
"Hendrych",
"M.",
""
]
] |
quant-ph/9910093
|
Norbert Luetkenhaus
|
Norbert L\"utkenhaus
|
Security against individual attacks for realistic quantum key
distribution
|
10 pages, 4 figures
|
Physical Review A, Vol. 61, 052304 (2000)
|
10.1103/PhysRevA.61.052304
| null |
quant-ph
| null |
I prove the security of quantum key distribution against individual attacks
for realistic signals sources, including weak coherent pulses and
downconversion sources. The proof applies to the BB84 protocol with the
standard detection scheme (no strong reference pulse). I obtain a formula for
the secure bit rate per time slot of an experimental setup which can be used to
optimize the performance of existing schemes for the considered scenario.
|
[
{
"version": "v1",
"created": "Fri, 22 Oct 1999 16:11:41 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Feb 2000 15:05:18 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Lütkenhaus",
"Norbert",
""
]
] |
quant-ph/9910094
|
Mikhail Lukin
|
M.D.Lukin and A.Imamoglu
|
Nonlinear Optics and Quantum Entanglement of Ultra-Slow Single Photons
| null | null |
10.1103/PhysRevLett.84.1419
| null |
quant-ph
| null |
Two light pulses propagating with ultra-slow group velocities in a coherently
prepared atomic gas exhibit dissipation-free nonlinear coupling of an
unprecedented strength. This enables a single-photon pulse to coherently
control or manipulate the quantum state of the other. Processes of this kind
result in generation of entangled states of radiation field and open up new
prospectives for quantum information processing.
|
[
{
"version": "v1",
"created": "Fri, 22 Oct 1999 18:01:52 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Lukin",
"M. D.",
""
],
[
"Imamoglu",
"A.",
""
]
] |
quant-ph/9910095
|
H. Bechmann-Pasquinucci
|
H. Bechmann-Pasquinucci, W. Tittel
|
Quantum Cryptography using larger alphabets
|
12 pages, 2 (eps) figures
| null |
10.1103/PhysRevA.61.062308
| null |
quant-ph
| null |
Like all of quantum information theory, quantum cryptography is traditionally
based on two level quantum systems. In this letter, a new protocol for quantum
key distribution based on higher dimensional systems is presented. An
experimental realization using an interferometric setup is also proposed.
Analyzing this protocol from the practical side, one finds an increased key
creation rate while keeping the initial laser pulse rate constant. Analyzing it
for the case of intercept/resend eavesdropping strategy, an increased error
rate is found compared to two dimensional systems, hence an advantage for the
legitimate users to detect an eavesdropper.
|
[
{
"version": "v1",
"created": "Fri, 22 Oct 1999 18:46:43 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Bechmann-Pasquinucci",
"H.",
""
],
[
"Tittel",
"W.",
""
]
] |
quant-ph/9910096
|
Jeffrey Bub
|
Jeffrey Bub
|
Quantum Mechanics as a Principle Theory
|
26 pages, no figures, LaTeX. Forthcoming March 2000 in Studies in the
History and Philosophy of Modern Physics
|
Studies in History and Philosophy of Modern Physics 31 (2000) 75
| null | null |
quant-ph
| null |
I show how quantum mechanics, like the theory of relativity, can be
understood as a 'principle theory' in Einstein's sense, and I use this notion
to explore the approach to the problem of interpretation developed in my book
Interpreting the Quantum World (Cambridge: Cambridge University Press, 1999).
|
[
{
"version": "v1",
"created": "Fri, 22 Oct 1999 23:40:57 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Bub",
"Jeffrey",
""
]
] |
quant-ph/9910097
|
Jeffrey Bub
|
Jeffrey Bub, Rob Clifton, Sheldon Goldstein
|
Revised Proof of the Uniqueness Theorem for 'No Collapse'
Interpretations of Quantum Mechanics
|
5 pages, LaTeX. Forthcoming March 2000 in Studies in the History and
Philosophy of Modern Physics
|
Studies in History and Philosophy of Modern Physics 31 (2000) 95
| null | null |
quant-ph
| null |
We show that the Bub-Clifton uniqueness theorem for 'no collapse'
interpretations of quantum mechanics (Studies in the History and Philosophy of
Modern Physics 27, 181-219 (1996)) can be proved without the 'weak
separability' assumption.
|
[
{
"version": "v1",
"created": "Fri, 22 Oct 1999 23:52:51 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Bub",
"Jeffrey",
""
],
[
"Clifton",
"Rob",
""
],
[
"Goldstein",
"Sheldon",
""
]
] |
quant-ph/9910098
|
Xiao-Guang Wang
|
Xiao-Guang Wang and Hong-Chen Fu
|
Statistical Properties and Algebraic Characteristics of Quantum
Superpositions of Negative Binomial States
|
11 pages and 2 figures
|
Commun. Theor. Phys. 35, 729-734 (2001)
| null | null |
quant-ph
| null |
We introduce new kinds of states of quantized radiation fields, which are the
superpositions of negative binomial states. They exhibit remarkable
non-classical properties and reduce to Schr\"odinger cat states in a certain
limit. The algebras involved in the even and odd negative binomial states turn
out to be generally deformed oscillator algebras. It is found that the even and
odd negative binomial states satisfy a same eigenvalue equation with a same
eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two
methods of generating such states are proposed.
|
[
{
"version": "v1",
"created": "Sat, 23 Oct 1999 14:00:11 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Wang",
"Xiao-Guang",
""
],
[
"Fu",
"Hong-Chen",
""
]
] |
quant-ph/9910099
|
Michael Nielsen
|
Guifre Vidal, Daniel Jonathan and M. A. Nielsen
|
Approximate transformations and robust manipulation of bipartite pure
state entanglement
|
11 pages, 4 figures
|
Phys. Rev. A 62, 012304 (2000)
|
10.1103/PhysRevA.62.012304
| null |
quant-ph
| null |
We analyze approximate transformations of pure entangled quantum states by
local operations and classical communication, finding explicit conversion
strategies which optimize the fidelity of transformation. These results allow
us to determine the most faithful teleportation strategy via an initially
shared partially entangled pure state. They also show that procedures for
entanglement manipulation such as entanglement catalysis [Jonathan and Plenio,
Phys. Rev. Lett. 83, 3566 (1999)] are robust against perturbation of the states
involved, and motivate the notion of non-local fidelity, which quantifies the
difference in the entangled properties of two quantum states.
|
[
{
"version": "v1",
"created": "Sat, 23 Oct 1999 22:39:25 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Oct 1999 01:20:02 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Vidal",
"Guifre",
""
],
[
"Jonathan",
"Daniel",
""
],
[
"Nielsen",
"M. A.",
""
]
] |
quant-ph/9910100
|
Hirotaka Sasakura
|
H. Sasakura and S. Muto
|
Quantum gates using two-electron states of triple quantum dot
|
4 pages(Latex2e), 5 pictures(5 ps-file)
| null | null | null |
quant-ph
| null |
Quantum computation using electron spins in three coupled dot with different
size is proposed. By using the energy selectivity of both photon assisted
tunneling and spin rotation of electrons, logic gates are realized by static
and rotational magnetic field and resonant optical pulses. Possibility of
increasing the number of quantum bits using the energy selectivity is also
discussed.
|
[
{
"version": "v1",
"created": "Mon, 25 Oct 1999 05:10:44 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Oct 1999 01:15:45 GMT"
},
{
"version": "v3",
"created": "Wed, 27 Oct 1999 02:23:53 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Sasakura",
"H.",
""
],
[
"Muto",
"S.",
""
]
] |
quant-ph/9910101
|
S. Seshadri
|
S. Seshadri (1), S. Lakshmibala (2) and V. Balakrishnan (2) ((1) The
Institute of Mathematical Sciences, Chennai, India, (2) Indian Institute of
Technology - Madras, Chennai, India)
|
Control of Wave Packet Revivals Using Geometric Phases
|
11 pages
| null |
10.1023/A:1026488815731
| null |
quant-ph chao-dyn nlin.CD
| null |
Wave packets in a system governed by a Hamiltonian with a generic nonlinear
spectrum typically exhibit both full and fractional revivals. It is shown that
the latter can be eliminated by inducing suitable geometric phases in the
states, by varying the parameters in the Hamiltonian cyclically with a period
T. Further, with the introduction of this natural time step T, the occurrence
of near revivals can be mapped onto that of Poincar\'{e} recurrences in an
irrational rotation map of the circle. The distinctive recurrence time
statistics of the latter can thus serve as a clear signature of the dynamics of
wave packet revivals.
|
[
{
"version": "v1",
"created": "Mon, 25 Oct 1999 10:40:46 GMT"
}
] | 2015-06-26T00:00:00 |
[
[
"Seshadri",
"S.",
""
],
[
"Lakshmibala",
"S.",
""
],
[
"Balakrishnan",
"V.",
""
]
] |
quant-ph/9910102
|
S. Seshadri
|
S. Seshadri (1), S. Lakshmibala (2) and V. Balakrishnan (2) ((1) The
Institute of Mathematical Sciences, Chennai, India, (2) Indian Institute of
Technology - Madras, Chennai, India)
|
Quantum revivals, geometric phases and circle map recurrences
|
9 pages
|
Phys. Lett. A 256 (1999) 15-19
|
10.1016/S0375-9601(99)00213-3
| null |
quant-ph chao-dyn nlin.CD
| null |
Revivals of the coherent states of a deformed, adiabatically and cyclically
varying oscillator Hamiltonian are examined. The revival time distribution is
exactly that of Poincar\'{e} recurrences for a rotation map: only three
distinct revival times can occur, with specified weights. A link is thus
established between quantum revivals and recurrences in a coarse-grained
discrete-time dynamical system.
|
[
{
"version": "v1",
"created": "Mon, 25 Oct 1999 10:20:34 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Seshadri",
"S.",
""
],
[
"Lakshmibala",
"S.",
""
],
[
"Balakrishnan",
"V.",
""
]
] |
quant-ph/9910103
|
S. Arun Kumar
|
R.R. Puri, S. Arun Kumar, and R.K. Bullough
|
Stroboscopic theory of atomic statistics in the micromaser
|
19 pages, 15 included figures, RevTeX
| null | null | null |
quant-ph
| null |
We study the statistics of the atoms emerging from the cavity of a micromaser
in a dynamical, discrete-time `stroboscopic' description which takes into
account the measurements made, in general, with imperfect efficiencies, on the
states of the outcoming atoms. Inverted atoms enter stochastically, in general,
with a binomial distribution in discrete time; but we also consider the
continuous-time limit of this input statistics which is Poissonian. We envisage
two alternative experimental procedures: one of these is to consider a fixed
number N of atoms pumped into the cavity and subsequently leaving it to undergo
state detection; the other is to consider input of the excited atoms and their
subsequent detection and collection in a fixed time t. We consider, in
particular, the steady state behaviors achieved in the two limits, N ->
infinity and t -> infinity, as well as the approaches to these two limits.
Although these limits are the same for the state of the cavity field, they are
not the same, in general, for the observable outcoming atom statistics. We
evaluate, in particular, Mandel's Q-parameters $Q_{e}$ $(Q_{g})$ for outcoming
atoms detected in their excited states (ground states), for both N -> infinity
and t -> infinity, as functions of $N_{ex} = RT_{c}$: R is the mean rate of
entry for the incoming atoms and $T_c$ is the cavity damping time. The behavior
of these atomic Q-parameters is compared with that parameter for the cavity
field.
|
[
{
"version": "v1",
"created": "Mon, 25 Oct 1999 19:29:53 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Puri",
"R. R.",
""
],
[
"Kumar",
"S. Arun",
""
],
[
"Bullough",
"R. K.",
""
]
] |
quant-ph/9910104
|
Ali Mostafazadeh
|
Ali Mostafazadeh
|
Perturbative Calculation of the Adiabatic Geometric Phase and Particle
in a Well with Moving Walls
|
Plain Latex, accepted for publication in J. Phys. A: Math. Gen
|
J.Phys.A32:8325-8340,1999
|
10.1088/0305-4470/32/47/311
| null |
quant-ph hep-th
| null |
We use the Rayleigh-Schr\"odinger perturbation theory to calculate the
corrections to the adiabatic geometric phase due to a perturbation of the
Hamiltonian. We show that these corrections are at least of second order in the
perturbation parameter. As an application of our general results we address the
problem of the adiabatic geometric phase for a one-dimensional particle which
is confined to an infinite square well with moving walls.
|
[
{
"version": "v1",
"created": "Mon, 25 Oct 1999 13:22:16 GMT"
}
] | 2008-11-26T00:00:00 |
[
[
"Mostafazadeh",
"Ali",
""
]
] |
quant-ph/9910105
|
M. Patra
|
M. Patra and C. W. J. Beenakker
|
Propagation of squeezed radiation through amplifying or absorbing random
media
|
8 pages, 4 figures
|
Phys. Rev. A 61, 63805 (2000)
|
10.1103/PhysRevA.61.063805
| null |
quant-ph cond-mat.mes-hall
| null |
We analyse how nonclassical features of squeezed radiation (in particular the
sub-Poissonian noise) are degraded when it is transmitted through an amplifying
or absorbing medium with randomly located scattering centra. Both the cases of
direct photodetection and of homodyne detection are considered. Explicit
results are obtained for the dependence of the Fano factor (the ratio of the
noise power and the mean current) on the degree of squeezing of the incident
state, on the length and the mean free path of the medium, the temperature, and
on the absorption or amplification rate.
|
[
{
"version": "v1",
"created": "Mon, 25 Oct 1999 14:44:09 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Patra",
"M.",
""
],
[
"Beenakker",
"C. W. J.",
""
]
] |
quant-ph/9910106
|
Norbert Luetkenhaus
|
Miloslav Dusek, Mika Jahma, and Norbert L\"utkenhaus
|
Unambiguous state discrimination in quantum cryptography with weak
coherent states
|
10 pages, 6 figures, updated version with added discussion of
beamsplitting attack
|
Physical Review A, Vol. 62, 022306 (2000).
|
10.1103/PhysRevA.62.022306
| null |
quant-ph
| null |
The use of linearly independent signal states in realistic implementations of
quantum key distribution (QKD) enables an eavesdropper to perform unambiguous
state discrimination. We explore quantitatively the limits for secure QKD
imposed by this fact taking into account that the receiver can monitor to some
extend the photon number statistics of the signals even with todays standard
detection schemes. We compare our attack to the beamsplitting attack and show
that security against beamsplitting attack does not necessarily imply security
against the attack considered here.
|
[
{
"version": "v1",
"created": "Mon, 25 Oct 1999 16:53:22 GMT"
},
{
"version": "v2",
"created": "Thu, 27 Apr 2000 06:57:18 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Dusek",
"Miloslav",
""
],
[
"Jahma",
"Mika",
""
],
[
"Lütkenhaus",
"Norbert",
""
]
] |
quant-ph/9910107
|
Subhash Kak
|
Subhash Kak
|
On Rotating a Qubit
|
5 pages; has one more section and more references
|
Information Sciences, vol. 128, pp. 149-154, 2000.
| null | null |
quant-ph
| null |
The state function of a quantum object is undetermined with respect to its
phase. This indeterminacy does not matter if it is global, but what if the
components of the state have unknown relative phases? Can useful computations
be performed in spite of this local indeterminacy? We consider this question in
relation to the problem of the rotation of a qubit and examine its broader
implications for quantum computing.
|
[
{
"version": "v1",
"created": "Mon, 25 Oct 1999 21:44:44 GMT"
},
{
"version": "v2",
"created": "Mon, 1 Nov 1999 22:25:18 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Kak",
"Subhash",
""
]
] |
quant-ph/9910108
|
Hitoshi Sakai
|
K. Sugiyama
|
Quantum probability from a geometrical interpretation of a wave function
|
3 pages
| null | null |
KS-9913
|
quant-ph
| null |
The probabilistic prediction of quantum theory is mystery. I solved the
mystery by a geometrical interpretation of a wave function. This suggests the
unification between quantum theory and the theory of relativity. This suggests
Many-Worlds Interpretation is true, too.
|
[
{
"version": "v1",
"created": "Tue, 26 Oct 1999 14:49:17 GMT"
},
{
"version": "v2",
"created": "Sun, 31 Oct 1999 22:29:15 GMT"
},
{
"version": "v3",
"created": "Thu, 4 Nov 1999 13:33:22 GMT"
},
{
"version": "v4",
"created": "Sun, 21 Nov 1999 05:24:59 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Sugiyama",
"K.",
""
]
] |
quant-ph/9910109
|
Igor V. Volovich
|
I.Ya. Aref'eva and I.V. Volovich
|
The Large Time Behaviour in Quantum Field Theory and Quantum Chaos
|
15 pages, latex
|
Canadian Math.Soc.Conf.Proc. 29 (2000) 15-27
| null | null |
quant-ph cond-mat.stat-mech hep-ph math-ph math.MP
| null |
An exact general formula for the matrix elements of the evolution operator in
quantum theory is established. The formul ("ABC-formula") has the form
<U(t)>=exp(At+B+C(t)). The constants A and B and the decreasing function C(t)
are computed in perturbation theory. The ABC-formula is valid for a general
class of Hamiltonians used in statistical physics and quantum field theory. The
formula includes the higher order corrections to the well known
Weisskopf-Wigner approximation and to the stochastic (van Hove) limit which are
widely used in considerations of problems of radiation, decay, quantum
decoherence, derivation of master and kinetic equations etc. The function C(t)
admits an interpretation as an analogue of the autocorrelation function
describing quantum chaos for the quantum baker's map.
|
[
{
"version": "v1",
"created": "Tue, 26 Oct 1999 13:42:56 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Aref'eva",
"I. Ya.",
""
],
[
"Volovich",
"I. V.",
""
]
] |
quant-ph/9910110
|
Bo-Sture Skagerstam
|
Per K Rekdal and Bo-Sture K Skagerstam
|
On the Phases Structure of the Micromaser System
|
4 pages, 4 figures
| null |
10.1016/S0030-4018(00)00922-6
| null |
quant-ph cond-mat.stat-mech
| null |
We investigate, in an exact manner, the phase structure of the micromaser
system in terms of the physical parameters at hand like the atom cavity transit
time, the atom-photon frequency detuning, the number of thermal photons and the
probability for a pump atom to be in its excited state. Phase diagrams are
mapped out for various values of the physical parameters. At sufficiently large
values of the detuning, we find a ``twinkling'' mode of the micromaser system.
A correlation length is used to study fluctuations close to the various phase
transitions.
|
[
{
"version": "v1",
"created": "Tue, 26 Oct 1999 18:01:18 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Rekdal",
"Per K",
""
],
[
"Skagerstam",
"Bo-Sture K",
""
]
] |
quant-ph/9910111
|
Paolo Facchi
|
P. Facchi and S. Pascazio
|
Van Hove's "\lambda^2 t" limit in nonrelativistic and relativistic
field-theoretical models
|
18 pages, 4 figures
|
Chaos, Solitons & Fractals 12 (2001) 2777
|
10.1016/S0960-0779(01)00090-X
| null |
quant-ph
| null |
Van Hove's "\lambda^2 t" limiting procedure is analyzed in some interesting
quantum field theoretical cases, both in nonrelativistic and relativistic
models. We look at the deviations from a purely exponential behavior in a decay
process and discuss the subtle issues of state preparation and initial time.
|
[
{
"version": "v1",
"created": "Tue, 26 Oct 1999 18:28:51 GMT"
}
] | 2010-01-31T00:00:00 |
[
[
"Facchi",
"P.",
""
],
[
"Pascazio",
"S.",
""
]
] |
quant-ph/9910112
|
Michael Fleischhauer
|
M. Fleischhauer
|
Mirrorless oscillation based on resonantly enhanced 4-wave mixing:
All-order analytic solutions
|
proceedings ICLPQO'99 (Shanghai 99), 10 pages, 4 figures
| null | null | null |
quant-ph
| null |
The phase transition to mirrorless oscillation in resonantly enhanced
four-wave mixing in double-$\Lambda$ systems are studied analytically for the
ideal case of infinite lifetimes of ground-state coherences. The stationary
susceptibilities are obtained in all orders of the generated fields and
analytic solutions of the coupled nonlinear differential equations for the
field amplitudes are derived and discussed.
|
[
{
"version": "v1",
"created": "Wed, 27 Oct 1999 08:52:11 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Fleischhauer",
"M.",
""
]
] |
quant-ph/9910113
|
Paul Slater
|
Paul B. Slater (University of California)
|
High-Temperature Expansions of Bures and Fisher Information Priors
|
Six pages, LaTeX. The title has been shortened (and then further
modified), at the suggestion of a colleague. Other minor changes
|
Phys. Rev. E, 61 (2000) 6087
|
10.1103/PhysRevE.61.6087
| null |
quant-ph
| null |
For certain infinite and finite-dimensional thermal systems, we obtain ---
incorporating quantum-theoretic considerations into Bayesian thermostatistical
investigations of Lavenda --- high-temperature expansions of priors over
inverse temperature beta induced by volume elements ("quantum Jeffreys' priors)
of Bures metrics. Similarly to Lavenda's results based on volume elements
(Jeffreys' priors) of (classical) Fisher information metrics, we find that in
the limit beta -> 0, the quantum-theoretic priors either conform to Jeffreys'
rule for variables over [0,infinity], by being proportional to 1/beta, or to
the Bayes-Laplace principle of insufficient reason, by being constant. Whether
a system adheres to one rule or to the other appears to depend upon its number
of degrees of freedom.
|
[
{
"version": "v1",
"created": "Wed, 27 Oct 1999 21:50:49 GMT"
},
{
"version": "v2",
"created": "Mon, 1 Nov 1999 23:41:40 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Slater",
"Paul B.",
"",
"University of California"
]
] |
quant-ph/9910114
|
Miloslav Znojil
|
Miloslav Znojil
|
Perturbation method with triangular propagators and anharmonicities of
intermediate strength
|
37 pages (Latex file, incl. 6 tables) plus 6 ps file figures, to be
submitted to J. Math. Chem
|
J. Math. Chem. 28 (2000) 139 - 167.
| null | null |
quant-ph
| null |
I propose a new version of the Rayleigh - Schr\"{o}dinger perturbation
method. It admits a lower triangular matrix in place of the usual diagonal
propagator. Illustrated on rational anharmonicities
polynomial}(x)/polynomial}(x), treated as perturbations of (quasi-)exact
anharmonic oscilators. In this sense the method works in an
intermediate-coupling regime and bridges the gap between the weak- and
strong-coupling expansions.
|
[
{
"version": "v1",
"created": "Wed, 27 Oct 1999 17:34:59 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Znojil",
"Miloslav",
""
]
] |
quant-ph/9910115
|
Juanjo Alvarez
|
J.J. Alvarez and C. Gomez
|
A Comment on Fisher Information and Quantum Algorithms
|
5 pages, LaTex file, Shor's factoring algorithm discussion added (new
sections 5 and 6)
| null | null |
IFT-UAM/CSIC-99-43
|
quant-ph
| null |
We show that Grover's algorithm defines a geodesic in quantum Hilbert space
with the Fubini-Study metric. From statistical point of view Grover's algorithm
is characterized by constant Fisher's function. Quantum algorithms changing
complexity class as Shor's factorization does not preserve constant Fisher's
information. An adiabatic quantum factorization algorithm in non polynomial
time is presented to exemplify the result.
|
[
{
"version": "v1",
"created": "Wed, 27 Oct 1999 22:54:18 GMT"
},
{
"version": "v2",
"created": "Sun, 12 Dec 1999 13:33:28 GMT"
},
{
"version": "v3",
"created": "Wed, 16 Feb 2000 23:26:03 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Alvarez",
"J. J.",
""
],
[
"Gomez",
"C.",
""
]
] |
quant-ph/9910116
|
Helmut Kroger
|
H. Jirari, H. Kr\"oger, X.Q. Luo, K.J.M. Moriarty and S.G. Rubin
|
Quantum Instantons and Quantum Chaos
|
Extended version with new figures. Text (LaTeX), 5 Figures (epsi
files)
|
Phys.Lett. A281 (2001) 1-8
|
10.1016/S0375-9601(01)00096-2
| null |
quant-ph hep-th
| null |
Based on a closed form expression for the path integral of quantum transition
amplitudes, we suggest rigorous definitions of both, quantum instantons and
quantum chaos. As an example we compute the quantum instanton of the double
well potential.
|
[
{
"version": "v1",
"created": "Wed, 27 Oct 1999 23:00:51 GMT"
},
{
"version": "v2",
"created": "Tue, 15 Aug 2000 21:32:18 GMT"
},
{
"version": "v3",
"created": "Mon, 5 Feb 2001 19:10:19 GMT"
}
] | 2016-08-15T00:00:00 |
[
[
"Jirari",
"H.",
""
],
[
"Kröger",
"H.",
""
],
[
"Luo",
"X. Q.",
""
],
[
"Moriarty",
"K. J. M.",
""
],
[
"Rubin",
"S. G.",
""
]
] |
quant-ph/9910117
|
Konrad Banaszek
|
Konrad Banaszek (Warsaw University)
|
Measuring Quantum State in Phase Space
|
PhD thesis, 92 pages + 1 colour plate, 14 figures
| null | null | null |
quant-ph
| null |
In this thesis we present a direct scheme for measuring quasidistribution
functions of light. This scheme, based on photon counting, is derived from a
simple relation linking the Wigner function with photon statistics. We develop
a full multimode theory of the scheme, and show that the principle of the
measurement can be straightforwardly generalized to the detection of the
multimode radiation. We also discuss practical aspects of the scheme, including
statistical error, non-unit detection efficiency, and imperfect interference
visibility. Next, we report experimental realization of the scheme, and present
measurements of the Wigner function for several quantum states of light.
Finally, we study the general problem of statistical uncertainty in
quantum-optical photodetection measurements.
|
[
{
"version": "v1",
"created": "Thu, 28 Oct 1999 10:11:27 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Banaszek",
"Konrad",
"",
"Warsaw University"
]
] |
quant-ph/9910118
|
Nistor Nicolaevici
|
Nistor Nicolaevici
|
Dynamical mass shift for a partially reflecting moving mirror
|
11 pages, LaTex
| null | null | null |
quant-ph
| null |
We consider the vacuum fluctuations contribution to the mass of a mirror in
an exactly soluble partially reflecting moving mirror model. Partial
reflectivity is accounted for by a repulsive delta-type potential localized
along the mirror trajectory. The mirror's mass is explicitly found as an
integral functional of the mirror's past trajectory.
|
[
{
"version": "v1",
"created": "Thu, 28 Oct 1999 23:26:31 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Nicolaevici",
"Nistor",
""
]
] |
quant-ph/9910119
|
Mozyrsky
|
Dima Mozyrsky
|
Exactly Solvable Model of Quantum Spin Interacting with Spin Environment
| null | null | null | null |
quant-ph
| null |
An exactly solvable model of a quantum spin interacting with a spin
environment is considered. The interaction is chosen to be such that the state
of the environment is conserved. The reduced density matrix of the spin is
calculated for arbitrary coupling strength and arbitrary time. The stationary
state of the spin is obtained explicitely in the $t \to \infty$ limit.
|
[
{
"version": "v1",
"created": "Fri, 29 Oct 1999 01:23:50 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Mozyrsky",
"Dima",
""
]
] |
quant-ph/9910120
|
Stefan Kuhr
|
B. Ueberholz, S. Kuhr, D. Frese, D. Meschede, and V. Gomer
|
Counting Cold Collisions
|
LaTeX 2e, 5 pages, 4 Postscript figures
|
J. Phys. B: At. Mol. Opt. Phys. 33, L135 (2000).
|
10.1088/0953-4075/33/4/105
| null |
quant-ph
| null |
We have experimentally explored a novel possibility to study exoergic cold
atomic collisions. Trapping of small countable atom numbers in a shallow
magneto-optical trap and monitoring of their temporal dynamics allows us to
directly observe isolated two-body atomic collisions and provides detailed
information on loss statistics. A substantial fraction of such cold collisional
events has been found to result in the loss of one atom only. We have also
observed for the first time a strong optical suppression of ground-state
hyperfine-changing collisions in the trap by its repump laser field.
|
[
{
"version": "v1",
"created": "Fri, 29 Oct 1999 09:20:02 GMT"
},
{
"version": "v2",
"created": "Wed, 8 Dec 1999 10:31:10 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Ueberholz",
"B.",
""
],
[
"Kuhr",
"S.",
""
],
[
"Frese",
"D.",
""
],
[
"Meschede",
"D.",
""
],
[
"Gomer",
"V.",
""
]
] |
quant-ph/9910121
|
Gert-Ludwig Ingold
|
Gert-Ludwig Ingold, Rodolfo A. Jalabert, Klaus Richter
|
Semiclassical analysis of level widths for one-dimensional potentials
|
8 pages, 2 figures, RevTeX
|
Am. J. Phys. 69, 201-206 (2001)
|
10.1119/1.1288129
| null |
quant-ph cond-mat physics.atom-ph
| null |
We present a semiclassical study of level widths for a class of
one-dimensional potentials in the presence of an ohmic environment. Employing
an expression for the dipole matrix element in terms of the Fourier transform
of the classical path we obtain the level widths within the Golden rule
approximation. It is found that for potentials with an asymptotic power-law
behavior, which may in addition be limited by an infinite wall, the width that
an eigenstate of the isolated system acquires due to the coupling to the
environment is proportional to its quantum number.
|
[
{
"version": "v1",
"created": "Fri, 29 Oct 1999 13:43:39 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Ingold",
"Gert-Ludwig",
""
],
[
"Jalabert",
"Rodolfo A.",
""
],
[
"Richter",
"Klaus",
""
]
] |
quant-ph/9910122
|
John Smolin
|
Pawel Horodecki, John A. Smolin, Barbara M. Terhal and Ashish V.
Thapliyal
|
Rank Two Bipartite Bound Entangled States Do Not Exist
|
5 pages LaTeX, many corrections and updated references
| null | null | null |
quant-ph
| null |
We explore the relation between the rank of a bipartite density matrix and
the existence of bound entanglement. We show a relation between the rank,
marginal ranks, and distillability of a mixed state and use this to prove that
any rank n bound entangled state must have support on no more than an n \times
n Hilbert space. A direct consequence of this result is that there are no
bipartite bound entangled states of rank two. We also show that a separability
condition in terms of a quantum entropy inequality is associated with the above
results. We explore the idea of how many pure states are needed in a mixture to
cancel the distillable entanglement of a Schmidt rank n pure state and provide
a lower bound of n-1. We also prove that a mixture of a non-zero amount of any
pure entangled state with a pure product state is distillable.
|
[
{
"version": "v1",
"created": "Fri, 29 Oct 1999 16:30:43 GMT"
},
{
"version": "v2",
"created": "Fri, 4 Feb 2000 15:57:54 GMT"
},
{
"version": "v3",
"created": "Wed, 6 Jun 2001 21:00:03 GMT"
},
{
"version": "v4",
"created": "Thu, 16 Aug 2001 20:30:29 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Horodecki",
"Pawel",
""
],
[
"Smolin",
"John A.",
""
],
[
"Terhal",
"Barbara M.",
""
],
[
"Thapliyal",
"Ashish V.",
""
]
] |
quant-ph/9910123
|
Asher Peres
|
Asher Peres
|
Opposite momenta lead to opposite directions
|
3 pages LaTeX, submitted to American Journal of Physics
|
Am. J. Phys. 68 (2000) 991
|
10.1119/1.1285946
| null |
quant-ph
| null |
When a particle decays into two fragments, the wavefunctions of the latter
are spherical shells with expanding radii. In spite of this spherical symmetry,
the two particles can be detected only in opposite directions.
|
[
{
"version": "v1",
"created": "Mon, 1 Nov 1999 12:35:33 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Peres",
"Asher",
""
]
] |
quant-ph/9910124
|
Michael Keyl
|
M. Keyl, R. F. Werner
|
The Rate of Optimal Purification procedures
|
LaTeX2e, 24 pages, 4 figures
| null | null | null |
quant-ph
| null |
Purification is a process in which decoherence is partially reversed by using
several input systems which have been subject to the same noise. The purity of
the outputs generally increases with the number of input systems, and decreases
with the number of required output systems. We construct the optimal quantum
operations for this task, and discuss their asymptotic behaviour as the number
of inputs goes to infinity. The rate at which output systems may be generated
depends crucially on the type of purity requirement. If one tests the purity of
the outputs systems one at a time, the rate is infinite: this fidelity may be
made to approach 1, while at the same time the number of outputs goes to
infinity arbitrarily fast. On the other hand, if one also requires the
correlations between outputs to decrease, the rate is zero: if fidelity with
the pure product state is to go to 1, the number of outputs per input goes to
zero. However, if only a fidelity close to 1 is required, the optimal purifier
achieves a positive rate, which we compute.
|
[
{
"version": "v1",
"created": "Mon, 1 Nov 1999 18:37:36 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Keyl",
"M.",
""
],
[
"Werner",
"R. F.",
""
]
] |
quant-ph/9910125
|
Haret Rosu
|
D. J. Fernandez C., H. C. Rosu
|
Quantum mechanical spectral engineering by scaling intertwining
|
8 twocolumn pages, 5 figures
|
Physica Scripta 64 (2001) 177-183
|
10.1238/Physica.Regular.064a00177
| null |
quant-ph
| null |
Using the concept of spectral engineering we explore the possibilities of
building potentials with prescribed spectra offered by a modified intertwining
technique involving operators which are the product of a standard first-order
intertwiner and a unitary scaling. In the same context we study the iterations
of such transformations finding that the scaling intertwining provides a
different and richer mechanism in designing quantum spectra with respect to
that given by the standard intertwining
|
[
{
"version": "v1",
"created": "Mon, 1 Nov 1999 23:09:32 GMT"
},
{
"version": "v2",
"created": "Wed, 22 Aug 2001 22:09:25 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"C.",
"D. J. Fernandez",
""
],
[
"Rosu",
"H. C.",
""
]
] |
quant-ph/9911001
|
wai bong Yeung
|
Wai Bong Yeung
|
The Schrodinger Equation From a Quadratic Hamiltonian System
|
3 pages
| null | null | null |
quant-ph
| null |
We regard the real and imaginary parts of the Schrodinger wave function as
canonical conjugate variables.With this pair of conjugate variables and some
other 2n pairs, we construct a quadratic Hamiltonian density. We then show that
the Schrodinger Equation follows from the Hamilton's Equation of motion when
the Planck frequency is much larger than the characteristic frequencies of the
Hamiltonian system. The Hamiltonian and the normal mode solutions coincide,
respectively, with the energy expectation value and the energy eigenstates of
the corresponding quantum mechanical system.
|
[
{
"version": "v1",
"created": "Tue, 2 Nov 1999 02:47:40 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Yeung",
"Wai Bong",
""
]
] |
quant-ph/9911002
|
Hiroto Kubotani
|
Hiroto Kubotani (Kanagawa University)
|
Quantum Trajectory in Multi-Dimensional Non-Linear System
|
12 pages, Latex, 12 figure; Changed to REVTeX sytle, Refined
numerical results
| null | null | null |
quant-ph gr-qc
| null |
We discuss quantum dynamics in multi-dimensional non-linear systems. It is
well-known that wave functions are localized in a kicked rotor model. However,
coupling with other degrees of freedom breaks the localization. In order to
clarify the difference, we describe the quantum dynamics by deterministic rigid
trajectories, which are accompanied with the de Broglie-Bohm interpretation of
quantum mechanics, instead of wave functions. A bundle of quantum trajectories
are repulsive through quantum potential and flow never to go across each other.
We show that, according to the degrees of freedom, this same property appears
differently.
|
[
{
"version": "v1",
"created": "Tue, 2 Nov 1999 08:15:48 GMT"
},
{
"version": "v2",
"created": "Tue, 16 Jan 2001 07:25:38 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Kubotani",
"Hiroto",
"",
"Kanagawa University"
]
] |
quant-ph/9911003
|
Ali Mostafazadeh
|
Ali Mostafazadeh
|
A New Class of Adiabatic Cyclic States and Geometric Phases for
Non-Hermitian Hamiltonians
|
Plain Latex, accepted for publication in Phys. Lett. A
|
Phys. Lett. A 264 (1999) 11-17
|
10.1016/S0375-9601(99)00790-2
| null |
quant-ph
| null |
For a T-periodic non-Hermitian Hamiltonian H(t), we construct a class of
adiabatic cyclic states of period T which are not eigenstates of the initial
Hamiltonian H(0). We show that the corresponding adiabatic geometric phase
angles are real and discuss their relationship with the conventional complex
adiabatic geometric phase angles. We present a detailed calculation of the new
adiabatic cyclic states and their geometric phases for a non-Hermitian analog
of the spin 1/2 particle in a precessing magnetic field.
|
[
{
"version": "v1",
"created": "Wed, 3 Nov 1999 12:42:41 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Mostafazadeh",
"Ali",
""
]
] |
quant-ph/9911004
|
Gui Lu Long
|
Gui Lu Long, Chang Cun Tu, Yan Song Li, Wei Lin Zhang and Hai Yang Yan
|
A novel SO(3) picture for quantum searching
|
6 pages, 2 eps figures
| null | null | null |
quant-ph
| null |
An SO(3) picture of the generalized Grover's quantum searching algorithm,with
arbitrary unitary transformation and with arbitrary phase rotations, is
constructed. In this picture, any quantum search operation is a rotation in a 3
dimensional space. Exact formulas for the rotation angle and rotational axis
are given. The probability of finding the marked state is just $(z+1)/2$, where
z is the z-component of the state vector. Exact formulas for this probability
is easily obtained. The phase matching requirement and the failure of algorithm
when phase mismatches are clearly explained.
|
[
{
"version": "v1",
"created": "Wed, 3 Nov 1999 13:15:38 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Long",
"Gui Lu",
""
],
[
"Tu",
"Chang Cun",
""
],
[
"Li",
"Yan Song",
""
],
[
"Zhang",
"Wei Lin",
""
],
[
"Yan",
"Hai Yang",
""
]
] |
quant-ph/9911005
|
Hector Moya-Cessa
|
H. Moya-Cessa and P. Tombesi
|
Filtering Number States of the Vibrational Motion of an Ion
|
7 pages, in press in Phys. Rev. A
|
Physical Review A 61, 025401 (2000)
|
10.1103/PhysRevA.61.025401
| null |
quant-ph
| null |
We propose a scheme to generate number states (and specific superpositions of
them) of the vibrational motion of a trapped ion. In particular, we show that
robust to noise qubits can be generated with arbitrary amplitudes.
|
[
{
"version": "v1",
"created": "Wed, 3 Nov 1999 13:20:55 GMT"
}
] | 2013-03-13T00:00:00 |
[
[
"Moya-Cessa",
"H.",
""
],
[
"Tombesi",
"P.",
""
]
] |
quant-ph/9911006
|
Irena Dobrovolska
|
I.V. Dobrovolska and R.S. Tutik
|
A new approach to perturbation theory for a Dirac particle in a central
field
|
12 pages, LaTeX
|
Physics Letters A 260 (1999) 10-16
|
10.1016/S0375-9601(99)00459-4
| null |
quant-ph
| null |
The explicit semiclassical treatment of logarithmic perturbation theory for
the bound-state problem within the framework of the Dirac equation is
developed. Avoiding disadvantages of the standard approach in the description
of exited states, new handy recursion formulae with the same simple form both
for ground and exited states have been obtained. As an example, the
perturbation expansions for the energy eigenvalues for the Yukawa potential
containing the vector part as well as the scalar component are considered.
|
[
{
"version": "v1",
"created": "Wed, 3 Nov 1999 16:26:20 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Dobrovolska",
"I. V.",
""
],
[
"Tutik",
"R. S.",
""
]
] |
quant-ph/9911007
|
Cezary Sliwa
|
Iwo Bialynicki-Birula, Zofia Bialynicka-Birula, Cezary Sliwa
|
Motion of vortex lines in quantum mechanics
|
10 pages, 5 figures
|
Phys. Rev. A 61, 032110 (2000)
|
10.1103/PhysRevA.61.032110
| null |
quant-ph
| null |
Exact analytic solutions of the time dependent Schrodinger equation are
produced that exhibit a variety of vortex structures. The qualitative analysis
of the motion of vortex lines is presented and various types of vortex behavior
are identified. Vortex creation and annihilation and vortex interactions are
illustrated in the special cases of the free motion, the motion in the harmonic
potential, and in the constant magnetic field. Similar analysis of the vortex
motions is carried out also for a relativistic wave equation.
|
[
{
"version": "v1",
"created": "Wed, 3 Nov 1999 16:44:51 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Bialynicki-Birula",
"Iwo",
""
],
[
"Bialynicka-Birula",
"Zofia",
""
],
[
"Sliwa",
"Cezary",
""
]
] |
quant-ph/9911008
|
Antonio Acin
|
A. Acin, R. Tarrach, G. Vidal
|
Optimal estimation of two-qubit pure-state entanglement
|
REVTEX, 9 pages, 1 figure
|
Phys. Rev. A 61, 62307 (2000)
|
10.1103/PhysRevA.61.062307
| null |
quant-ph
| null |
We present optimal measuring strategies for the estimation of the
entanglement of unknown two-qubit pure states and of the degree of mixing of
unknown single-qubit mixed states, of which N identical copies are available.
The most general measuring strategies are considered in both situations, to
conclude in the first case that a local, although collective, measurement
suffices to estimate entanglement, a non-local property, optimally.
|
[
{
"version": "v1",
"created": "Wed, 3 Nov 1999 18:39:26 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Acin",
"A.",
""
],
[
"Tarrach",
"R.",
""
],
[
"Vidal",
"G.",
""
]
] |
quant-ph/9911009
|
Richard Jozsa
|
Richard Jozsa and Juergen Schlienz
|
Distinguishability of States and von Neumann Entropy
|
18 pages, Latex, 2 figures
| null |
10.1103/PhysRevA.62.012301
| null |
quant-ph
| null |
Consider an ensemble of pure quantum states |\psi_j>, j=1,...,n taken with
prior probabilities p_j respectively. We show that it is possible to increase
all of the pairwise overlaps |<\psi_i|\psi_j>| i.e. make each constituent pair
of the states more parallel (while keeping the prior probabilities the same),
in such a way that the von Neumann entropy S is increased, and dually, make all
pairs more orthogonal while decreasing S. We show that this phenomenon cannot
occur for ensembles in two dimensions but that it is a feature of almost all
ensembles of three states in three dimensions. It is known that the von Neumann
entropy characterises the classical and quantum information capacities of the
ensemble and we argue that information capacity in turn, is a manifestation of
the distinguishability of the signal states. Hence our result shows that the
notion of distinguishability within an ensemble is a global property that
cannot be reduced to considering distinguishability of each constituent pair of
states.
|
[
{
"version": "v1",
"created": "Wed, 3 Nov 1999 20:34:01 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Jozsa",
"Richard",
""
],
[
"Schlienz",
"Juergen",
""
]
] |
quant-ph/9911010
|
Haret Rosu
|
L.M. Nieto, H.C. Rosu, M. Santander
|
Hydrogen atom as an eigenvalue problem in 3D spaces of constant
curvature and minimal length
|
6 pages, v3
|
Mod. Phys. Lett. A 14 (1999) 2463-2469
|
10.1142/S021773239900256X
| null |
quant-ph
| null |
An old result of A.F. Stevenson [Phys. Rev.} 59, 842 (1941)] concerning the
Kepler-Coulomb quantum problem on the three-dimensional (3D) hypersphere is
considered from the perspective of the radial Schr\"odinger equations on 3D
spaces of any (either positive, zero or negative) constant curvature. Further
to Stevenson, we show in detail how to get the hypergeometric wavefunction for
the hydrogen atom case. Finally, we make a comparison between the ``space
curvature" effects and minimal length effects for the hydrogen spectrum
|
[
{
"version": "v1",
"created": "Wed, 3 Nov 1999 22:18:48 GMT"
},
{
"version": "v2",
"created": "Thu, 11 Nov 1999 22:41:08 GMT"
},
{
"version": "v3",
"created": "Tue, 7 Dec 1999 16:00:56 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Nieto",
"L. M.",
""
],
[
"Rosu",
"H. C.",
""
],
[
"Santander",
"M.",
""
]
] |
quant-ph/9911011
|
Ryutaroh Matsumoto
|
Ryutaroh Matsumoto and Tomohiko Uyematsu
|
Constructing quantum error-correcting codes for p^m-state systems from
classical error-correcting codes
|
10 pages, LaTeX2e. To appear in IEICE Transactions on Fundamentals of
Electronics, Communications and Computer Sciences (ISSN 0916-8508), vol.
E83-A, no. 10, Oct. 2000. Revision on Dec. 14, 1999: Added a note on a
systematic construction of quantum codes with efficient decoding algorithms.
Revision on June 26, 2000: Corrected lots of errors, and added a review on
the overall error correction process. No original materials were added
|
IEICE Trans. Fundamentals, vol. E83-A, no. 10, pp. 1878-1883, Oct.
2000. Available from http://search.ieice.org/
| null | null |
quant-ph
| null |
We generalize the construction of quantum error-correcting codes from
GF(4)-linear codes by Calderbank et al. to p^m-state systems. Then we show how
to determine the error from a syndrome. Finally we discuss a systematic
construction of quantum codes with efficient decoding algorithms.
|
[
{
"version": "v1",
"created": "Thu, 4 Nov 1999 13:04:20 GMT"
},
{
"version": "v2",
"created": "Tue, 14 Dec 1999 09:01:52 GMT"
},
{
"version": "v3",
"created": "Mon, 26 Jun 2000 08:19:14 GMT"
}
] | 2007-05-23T00:00:00 |
[
[
"Matsumoto",
"Ryutaroh",
""
],
[
"Uyematsu",
"Tomohiko",
""
]
] |
quant-ph/9911012
|
Rajkumar Roychoudhury
|
Anjana Sinha and Rajkumar Roychoudhury
|
SWKB Quantization Rules for Bound States in Quantum Wells
|
8 pages
| null |
10.1088/0953-4075/33/7/401
| null |
quant-ph
| null |
In a recent paper by Gomes and Adhikari (J.Phys B30 5987(1997)) a matrix
formulation of the Bohr-Sommerfield quantization rule has been applied to the
study of bound states in one dimension quantum wells. Here we study these
potentials in the frame work of supersymmetric WKB (SWKB) quantization
approximation and find that SWKB quantization rule is superior to the modified
Bohr-Sommerfield or WKB rules as it exactly reproduces the eigenenergies.
|
[
{
"version": "v1",
"created": "Thu, 4 Nov 1999 08:17:00 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Sinha",
"Anjana",
""
],
[
"Roychoudhury",
"Rajkumar",
""
]
] |
quant-ph/9911013
|
Dipankar Home
|
Somshubhro Bandyopadhyay
|
Qubit and Entanglement assisted Optimal Entanglement Concentration
|
Latex, 12 pages: Enlarged version: To appear in Phys. Rev. A. Changes
made: another protocol added, practical implementation of the proposals
discussed
|
Phys. Rev. A 62, 032308 (2000)
|
10.1103/PhysRevA.62.032308
| null |
quant-ph
| null |
We present two method for optimal entanglement concentration from pure
entangled states by local actions only. However a prior knowledge of the
Schmidt coefficients is required. The first method is optimally efficient only
when a finite ensemble of pure entangled states are available whereas the
second method realizes the single pair optimal concentration probability. We
also propose an entanglement assisted method which is again optimally efficient
even for a single pair. We also discuss concentrating entanglement from
N-partite cat like states.
|
[
{
"version": "v1",
"created": "Thu, 4 Nov 1999 14:20:28 GMT"
},
{
"version": "v2",
"created": "Fri, 5 Nov 1999 03:39:35 GMT"
},
{
"version": "v3",
"created": "Tue, 23 Nov 1999 12:22:38 GMT"
},
{
"version": "v4",
"created": "Thu, 27 Apr 2000 13:41:59 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Bandyopadhyay",
"Somshubhro",
""
]
] |
quant-ph/9911014
|
Yoon-Ho Kim
|
Yoon-Ho Kim, Maria V. Chekhova, Sergei P. Kulik, Yanhua Shih, and
Morton H. Rubin
|
First-order interference of nonclassical light emitted spontaneously at
different times
|
5 pages, two-column, submitted to PRA
|
Phys. Rev. A 61, 051803(R)
|
10.1103/PhysRevA.61.051803
| null |
quant-ph
| null |
We study first-order interference in spontaneous parametric down-conversion
generated by two pump pulses that do not overlap in time. The observed
modulation in the angular distribution of the signal detector counting rate can
only be explained in terms of a quantum mechanical description based on
biphoton states. The condition for observing interference in the signal channel
is shown to depend on the parameters of the idler radiation.
|
[
{
"version": "v1",
"created": "Thu, 4 Nov 1999 15:08:15 GMT"
}
] | 2009-10-31T00:00:00 |
[
[
"Kim",
"Yoon-Ho",
""
],
[
"Chekhova",
"Maria V.",
""
],
[
"Kulik",
"Sergei P.",
""
],
[
"Shih",
"Yanhua",
""
],
[
"Rubin",
"Morton H.",
""
]
] |
quant-ph/9911015
|
Sergio de Filippo
|
Sergio De Filippo
|
NMR spectroscopy and computing beyond myth and fiction
|
I am ashamed to have written this paper
| null | null | null |
quant-ph nucl-th
| null |
Only craziness I am ashamed about.
|
[
{
"version": "v1",
"created": "Thu, 4 Nov 1999 18:08:57 GMT"
},
{
"version": "v2",
"created": "Mon, 26 Sep 2011 16:37:15 GMT"
}
] | 2011-09-27T00:00:00 |
[
[
"De Filippo",
"Sergio",
""
]
] |
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