Entanglement of Formation of Bipartite Quantum States
Kai Chen, Sergio Albeverio, and Shao-Ming Fei
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Submission date: 15. Nov. 2005
published in: Physical review letters, 95 (2005) 21, art-no. 210501
DOI number (of the published article): 10.1103/PhysRevLett.95.210501
PACS-Numbers: 03.67.Mn, 03.65.Ud, 89.70.+c
Keywords and phrases: entanglement of formation, lower bound
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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.