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理论物理通讯:英文版

On PPT States in CKCMCN Composite Quantum Systems

Wang, FEIShao-Ming, WANGZhi-Xi, WUKe

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

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Concepts and methods in quantum theory; The book on the nature of the ball lightning.

Boris B. Kadomtsev, Лев П. Питаевский

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Uspekhi Fizicheskih Nauk•Jan 1, 1997•3 citations

Lower bounds on concurrence and separability conditions

Julio I. de Vicente

We obtain analytical lower bounds on the concurrence of bipartite quantum systems in arbitrary dimensions related to the violation of separability conditions based on local uncertainty relations and on the Bloch representation of density matrices. We also illustrate how these results complement and improve those recently derived [Chen, Albeverio, and Fei, Phys. Rev. Lett. 95, 040504 (2005)] by considering the Peres-Horodecki and the computable cross-norm or realignment criteria.

arXiv:quant-ph/0611229•Physical Review A•May 17, 2007•126 citations
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A necessary separability criterion that relates the structures of the total density matrix and its reductions is given. The method used is based on the realignment method [K. Chen and L. A. Wu, Quant. Inf. Comput. 3, 193 (2003)]. The separability criterion naturally generalizes the reduction separability criterion introduced independently in the previous work [M. Horodecki and P. Horodecki, Phys. Rev. A 59, 4206 (1999) and N. J. Cerf, C. Adami, and R. M. Gingrich, Phys. Rev. A 60, 898 (1999)]. In special cases, it recovers the previous reduction criterion and the recent generalized partial transposition criterion [K. Chen and L. A. Wu, Phys. Lett. A 306, 14 (2002)]. The criterion involves only simple matrix manipulations and can therefore be easily applied.
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