Separable states are more disordered globally than locally

Nielsen, MA and Kempe, J (2001) Separable states are more disordered globally than locally. Physical Review Letters, 86 22: 5184-5187. doi:10.1103/PhysRevLett.86.5184

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Author Nielsen, MA
Kempe, J
Title Separable states are more disordered globally than locally
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 2001
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.86.5184
Open Access Status File (Publisher version)
Volume 86
Issue 22
Start page 5184
End page 5187
Total pages 4
Editor Martin Blume
Place of publication Collage Park, Maryland USA
Publisher American Physical Society
Collection year 2001
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract A remarkable feature of quantum entanglement is that an entangled state of two parties, Alice (A) and Bob (B), may be more disordered locally than globally. That is, S(A) > S(A, B), where S() is the von Neumann entropy. It is known that satisfaction of this inequality implies that a state is nonseparable. In this paper we prove the stronger result that for separable states the vector of eigenvalues of the density matrix of system AB is majorized by the vector of eigenvalues of the density matrix of system A alone. This gives a strong sense in which a separable state is more disordered globally than locally and a new necessary condition for separability of bipartite states in arbitrary dimensions.
Keyword Physics, Multidisciplinary
Mixed States
Density-matrices
Entanglement
Distillability
Distillation
Probability
Criterion
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 162 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 14 Aug 2007, 15:43:23 EST