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Title: Degree of separability of bipartite quantum states
Authors: Thiang, G.C. 
Issue Date: 26-Jul-2010
Citation: Thiang, G.C. (2010-07-26). Degree of separability of bipartite quantum states. Physical Review A - Atomic, Molecular, and Optical Physics 82 (1) : -. ScholarBank@NUS Repository.
Abstract: We investigate the problem of finding the optimal convex decomposition of a bipartite quantum state into a separable part and a positive remainder, in which the weight of the separable part is maximal. This weight is naturally identified with the degree of separability of the state. In a recent work, the problem was solved for two-qubit states using semidefinite programming. In this paper, we describe a procedure to obtain the optimal decomposition of a bipartite state of any finite dimension via a sequence of semidefinite relaxations. The sequence of decompositions thus obtained is shown to converge to the optimal one. This provides a systematic method to determine the so-called optimal Lewenstein-Sanpera decomposition of any bipartite state. Numerical results are provided to illustrate this procedure, and the special case of rank-2 states is also discussed. © 2010 The American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10502947
DOI: 10.1103/PhysRevA.82.012332
Appears in Collections:Staff Publications

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