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Lower Bound of Concurrence Based on Generalized Positive Maps
Authors:QIN Hui-Hui  FEI Shao-Ming
Affiliation:1. Department of Mathematics, School of Science, South China University of Technology, Guangzhou 510640, China;2. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;3. Max-Planck-Institute for Mathematics in the Sciences, 04103 Leipzig, Germany
Abstract:
We study the concurrence of arbitrary dimensional bipartite quantum systems. By using a positive but not completely positive map, we present an analytical lower bound of concurrence. Detailed examples are used to show that our bound can detect entanglement better and can improve the well known existing lower bounds.
Keywords:lower bound of concurrence  positive maps  
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