Separability criteria and bounds for entanglement measures

Separability criteria and bounds for entanglement measures
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DOI:
10.1088/0305-4470/39/38/010
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发表时间:
2006-06
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
H. Breuer
H. Breuer
中科院分区:
其他
文献类型:
--
作者:
H. Breuer

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利用最近提出的可分离性判据,我们得到了两体量子系统形成时的并发和纠缠的解析下界。该可分性准则基于一个不可分解的正映射,该正映射作用于偶数维状态空间N≥4,从而得到一类不可分解的最优纠缠见证。结果表明,本文得到的边界补充和改进了由正部分移位准则和重排准则得到的已有边界。
Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable positive map which operates on state spaces with even dimension, N ≥ 4, and leads to a class of nondecomposable optimal entanglement witnesses. It is shown that the bounds derived here complement and improve the existing bounds obtained from the criterion of positive partial transposition and from the realignment criterion.