127 research outputs found
Bell Theorem for Nonclassical Part of Quantum Teleportation Process
The quantum teleportation process is composed of a joint measurement
performed upon two subsystems A and B (uncorrelated), followed by a unitary
transformation (parameters of which depend on the outcome of the measurement)
performed upon a third subsystem C (EPR correlated with system B). The
information about the outcome of the measurement is transferred by classical
means. The measurement performed upon the systems A and B collapses their joint
wavefunction into one of the four {\it entangled} Bell states. It is shown here
that this measurement process plus a possible measurement on the third
subsystem (with classical channel switched off - no additional unitary
transformation performed) cannot be described by a local realistic theory.Comment: 4 pages, RevTeX, no figure
Interference contrast in multi-source few photon optics
Many recent experiments employ several parametric down conversion (PDC)
sources to get multiphoton interference. Such interference has applications in
quantum information. We study here how effects due to photon statistics,
misalignment, and partial distinguishability of the PDC pairs originating from
different sources may lower the interference contrast in the multiphoton
experiments.Comment: 23 pages, 9 figures, journal versio
Greenberger-Horne-Zeilinger paradoxes for N quNits
In this paper we show the series of Greenberger-Horne-Zeilinger paradoxes for
N maximally entangled N-dimensional quantum systems.Comment: 6 page
Family of Zeilinger-Horne-Greenberger "W" states lead to stronger nonclassicality than family of Greenberger-Horne-Zeilinger "GHZ" states
The N-qubit states of the W class, for N>10, lead to more robust (against
noise admixture) violations of local realism, than the GHZ states. These
violations are most pronounced for correlations for a pair of qubits,
conditioned on specific measurement results for the remaining (N-2) qubits. The
considerations provide us with a qualitative difference between the W state and
GHZ state in the situation when they are separately sent via depolarizing
channels. For sufficiently high amount of noise in the depolarizing channel,
the GHZ states cannot produce a distillable state between two qubits, whereas
the W states can still produce a distillable state in a similar situation.Comment: v3: 7 pages, 2 figures, REVTeX4; v2: result on comparative yield of
singlets added, 1 new figur
Four Photon Entanglement from Down Conversion
Double-pair emission from type-II parametric down conversion results in a
highly entangled 4-photon state. Due to interference, which is similar to
bunching from thermal emission, this state is not simply a product of two
pairs. The observation of this state can be achieved by splitting the two
emission modes at beam splitters and subsequent detection of a photon in each
output. Here we describe the features of this state and give a Bell theorem for
a 4-photon test of local realistic hidden variable theories.Comment: 5 pages, 1 figure, submitted to PR
Better detection of Multipartite Bound Entanglement with Three-Setting Bell Inequalities
It was shown in Phys. Rev. Lett., 87, 230402 (2001) that N (N >= 4) qubits
described by a certain one parameter family F of bound entangled states violate
Mermin-Klyshko inequality for N >= 8. In this paper we prove that the states
from the family F violate Bell inequalities derived in Phys. Rev. A, 56, R1682
(1997), in which each observer measures three non-commuting sets of orthogonal
projectors, for N >=7. We also derive a simple one parameter family of
entanglement witnesses that detect entanglement for all the states belonging to
F. It is possible that these new entanglement witnesses could be generated by
some Bell inequalities.Comment: Revtex4, 1 figur
Output state in multiple entanglement swapping
The technique of quantum repeaters is a promising candidate for sending
quantum states over long distances through a lossy channel. The usual
discussions of this technique deals with only a finite dimensional Hilbert
space. However the qubits with which one implements this procedure will "ride"
on continuous degrees of freedom of the carrier particles. Here we analyze the
action of quantum repeaters using a model based on pulsed parametric down
conversion entanglement swapping. Our model contains some basic traits of a
real experiment. We show that the state created, after the use of any number of
parametric down converters in a series of entanglement swappings, is always an
entangled (actually distillable) state, although of a different form than the
one that is usually assumed. Furthermore, the output state always violates a
Bell inequality.Comment: 11 pages, 6 figures, RevTeX
Functional Bell inequalities can serve as a stronger entanglement witness
We consider a Bell inequality for a continuous range of settings of the
apparatus at each site. This "functional" Bell inequality gives a better range
of violation for generalized GHZ states. Also a family of N-qubit bound
entangled states violate this inequality for N>5.Comment: 4 pages, REVTeX
Violations of local realism with quNits up to N=16
Predictions for systems in entangled states cannot be described in local
realistic terms. However, after admixing some noise such a description is
possible. We show that for two quNits (quantum systems described by N
dimensional Hilbert spaces) in a maximally entangled state the minimal
admixture of noise increases monotonically with N. The results are a direct
extension of those of Kaszlikowski et. al., Phys. Rev. Lett. {\bf 85}, 4418
(2000), where results for were presented. The extension up to N=16 is
possible when one defines for each N a specially chosen set of observables. We
also present results concerning the critical detectors efficiency beyond which
a valid test of local realism for entangled quNits is possible.Comment: 5 pages, 3 ps picture
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