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Entanglement of formation and concurrence for mixed states
Authors:Xiuhong Gao  Albeverio Sergio  Kai Chen  Shaoming Fei and Xianqing Li-Jost
Affiliation:(1) Department of Mathematics, Capital Normal University, Beijing, 100037, China;(2) Institut für Angewandte Mathematik, Universit?t Bonn, Bonn, D-53115, Germany;(3) Hefei National Laboratory for Physical Sciences at Microscale, Department of Modern Physics, University of Science and Technology of China, Hefei, 230026, China;(4) Max Planck Institute for Mathematics in the Sciences, Leipzig, D-04103, Germany
Abstract:We review some results on analytical computations of the measures for quantum entanglement: entanglement of formation and concurrence. We introduce some estimations of the lower bounds for the entanglement of formation in bipartite mixed states, and of lower bounds for the concurrence in bipartite and tripartite systems. The results on lower bounds for the concurrence are also generalized to arbitrary multipartite systems.
Keywords:entanglement of formation  concurrence  lower bound
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