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Phys. Rev. Lett. 95, 210501 (2005) [4 pages]

Entanglement of Formation of Bipartite Quantum States

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Kai Chen1, Sergio Albeverio1, and Shao-Ming Fei1,2,3
1Institut für Angewandte Mathematik, Universität Bonn, D-53115, Germany
2Department of Mathematics, Capital Normal University, Beijing 100037, China
3Max Planck Institute for Mathematics in the Sciences, D-04103 Leipzig, Germany

Received 16 July 2005; published 15 November 2005

We give an explicit tight lower bound for the entanglement of formation for arbitrary bipartite mixed states by using the convex hull construction of a certain function. This is achieved by revealing a novel connection among the entanglement of formation, the well-known Peres-Horodecki, and realignment criteria. The bound gives a quite simple and efficiently computable way to evaluate quantitatively the degree of entanglement for any bipartite quantum state.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.95.210501
DOI: 10.1103/PhysRevLett.95.210501
PACS: 03.67.Mn, 03.65.Ud, 89.70.+c

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