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Lewenstein-Sanpera Decomposition for Iso-concurrence Decomposable States

2002/08/22 by Seyed Javad Akhtarshenas, S. J. Akhtarshenas, Akhtarshenas, S. J. +2
Computer Science · Physics and Astronomy · #Advanced Algebra and Logic #FOS: Physical sciences #Logic, programming, and type systems #Quantum Physics (quant-ph) #quant-ph #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.quant-ph/0208142

16 pages, Latex

arxiv created 2002/08/22 · openalex publication_date 2002/08/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain Lewenstein-Sanpera decomposition of iso-concurrence decomposable states of 2⊗ 2 quantum systems. It is shown that in these systems average concurrence of the decomposition is equal to the concurrence of the state and also it is equal to the amount of violation of positive partial transpose criterion. It is also shown that the product states introduced by Wootters in [W. K. Wootters, Phys. Rev. Lett. \bf 80 2245 (1998)] form the best separable approximation ensemble for these states.

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