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Phys. Rev. Lett. 95, 040504 (2005) [4 pages]

Concurrence of Arbitrary Dimensional Bipartite Quantum States

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Kai Chen1, Sergio Albeverio1, and Shao-Ming Fei1,2
1Institut für Angewandte Mathematik, Universität Bonn, D-53115, Germany
2Department of Mathematics, Capital Normal University, Beijing 100037, China

Received 5 April 2005; published 22 July 2005

We derive an analytical lower bound for the concurrence of a bipartite quantum state in arbitrary dimension. A functional relation is established relating concurrence, the Peres-Horodecki criterion, and the realignment criterion. We demonstrate that our bound is exact for some mixed quantum states. The significance of our method is illustrated by giving a quantitative evaluation of entanglement for many bound entangled states, some of which fail to be identified by the usual concurrence estimation method.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.95.040504
DOI: 10.1103/PhysRevLett.95.040504
PACS: 03.67.Mn, 03.65.Ud, 89.70.+c

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