Published May 28, 2001
| public
Journal Article
Open
Separable States Are More Disordered Globally than Locally
- Creators
- Nielsen, M. A.
- Kempe, J.
Chicago
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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.
Additional Information
©2001 The American Physical Society Received 29 November 2000 We thank Carl Caves and Pranaw Rungta for discussions about separability and quantum information in general. J. K. thanks the Centre for Quantum Computer Technology at the University of Queensland for its hospitality and acknowledges support by the U.S. ARO under Contract/Grant No. DAAG55-98-1-0371.Files
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