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The Prime Factorization Property of Entangled Quantum States
, 1994
"... Completely entangled quantum states are shown to factorize into tensor products of entangled states whose dimensions are powers of prime numbers. The entangled states of each prime-power dimension transform among themselves under a finite Heisenberg group. We consider processes in which factors are ..."
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Completely entangled quantum states are shown to factorize into tensor products of entangled states whose dimensions are powers of prime numbers. The entangled states of each prime-power dimension transform among themselves under a finite Heisenberg group. We consider processes in which factors
Towards Characterizing the Non-Locality of Entangled Quantum States
, 2002
"... The behavior of entangled quantum systems can generally not be explained as being determined by shared classical randomness. In the first part of this paper, we propose a simple game for n players demonstrating this non-local property of quantum mechanics: While, on the one hand, it is immediately c ..."
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Cited by 2 (0 self)
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clear that classical players will lose the game with substantial probability, it can, on the other hand, always be won by players sharing an entangled quantum state. The simplicity of the classical analysis of our game contrasts the often quite involved analysis of previously proposed examples
Local copying of orthogonal entangled quantum states
- New J. Phys
"... doi:10.1088/1367-2630/6/1/164 Abstract. In classical information theory one can, in principle, produce a perfect copy of any input state. In quantum information theory, the no cloning theorem prohibits exact copying of non-orthogonal states. Moreover, if we wish to copy multiparticle entangled state ..."
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Cited by 3 (0 self)
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doi:10.1088/1367-2630/6/1/164 Abstract. In classical information theory one can, in principle, produce a perfect copy of any input state. In quantum information theory, the no cloning theorem prohibits exact copying of non-orthogonal states. Moreover, if we wish to copy multiparticle entangled
A family of indecomposable positive linear maps based on entangled quantum states
- Linear Algebra Appl
"... We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The construction lets us create indecomposable positive linear maps in matrix algebras of arbitrary high dimension. Typeset ..."
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Cited by 34 (3 self)
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We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The construction lets us create indecomposable positive linear maps in matrix algebras of arbitrary high dimension. Typeset
Entangled quantum states in a local deterministic theory
- 2nd Vienna Symposium on the Foundations of Modern Physics (June 2009), ITP-UU-09/77, SPIN-09/30; arXiv:0908.3408
"... Investigating a class of models that is familiar in studies of cellular automata, we find that quantum operators can be employed to describe their long distance behavior. These operators span a Hilbert space that appears to turn such a model into a genuine quantum field theory, obeying the usual con ..."
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Cited by 8 (6 self)
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conditions of locality in terms of its quantum commutators. Entangled states can be constructed exactly as in quantum theories. This raises the question whether such models allow Bell’s inequalities to be violated. Being a local, deterministic theory, one would argue that this is impossible, but since
UCR HEP-T184 Is It Possible to Disentangle an Entangled Quantum State?
, 1998
"... Experimental tests of the suggestion that the generalization of Wheeleer and Feynman’s time symmetric system is the dynamical basis underlying quantum mechanics are considered. In a time-symmetric system, the instantaneous correlations exhibited by two spatially separated particles in an entangled s ..."
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of quantum mechanics is the correlations between particles in an entangled quantum state in an Einstein-Podolsky-Rosen type experiment. The concept of causality, that cause must precede its effect, is one of the most fundamental principles in physics, firmly established by innumerable observations
QUANTUM INFORMATION PROCESSING AND PRECISE OPTICAL MEASUREMENT WITH HYPER-ENTANGLED QUANTUM STATES
"... Abstract A pair of photons generated in the nonlinear process of spontaneous parametric down conversion is, in general, entangled so as to contain strong energy, time, polarization, and momentum quantum correlations. This entanglement involving more than one pair of quantum variable, known as hyper- ..."
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Cited by 1 (0 self)
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Abstract A pair of photons generated in the nonlinear process of spontaneous parametric down conversion is, in general, entangled so as to contain strong energy, time, polarization, and momentum quantum correlations. This entanglement involving more than one pair of quantum variable, known as hyper-entanglement
Information transmission via entangled quantum states in Gaussian channels with memory
- Proceedings of the International Workshop “Quantum Entanglement in Physical and Information Sciences” (December 14–18, 2004
"... Gaussian quantum channels have recently attracted a growing interest, since they may lead to a tractable approach to the generally hard problem of evaluating quantum channel capacities. However, the analysis performed so far has always been restricted to memoryless channels. Here, we consider the ca ..."
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Cited by 1 (0 self)
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Gaussian quantum channels have recently attracted a growing interest, since they may lead to a tractable approach to the generally hard problem of evaluating quantum channel capacities. However, the analysis performed so far has always been restricted to memoryless channels. Here, we consider
Teleporting an Unknown Quantum State via Dual Classical and EPR Channels
, 1993
"... An unknown quantum state jOEi can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical EPR correlations. To do so the sender, "Alice," and the receiver, "Bob," must prearrange the sharing of an EPRcorrelated pair of particles. ..."
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Cited by 648 (22 self)
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An unknown quantum state jOEi can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical EPR correlations. To do so the sender, "Alice," and the receiver, "Bob," must prearrange the sharing of an EPRcorrelated pair of particles
Results 1 - 10
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393,306
