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A characterization of optimal entanglement witnesses

Quantum Physics 2015-05-30 v1 Operator Algebras

Abstract

In this paper, we present a characterization of optimal entanglement witnesses in terms of positive maps and then provide a general method of checking optimality of entanglement witnesses. Applying it, we obtain new indecomposable optimal witnesses which have no spanning property. These also provide new examples which support a recent conjecture saying that the so-called structural physical approximations to optimal positive maps (optimal entanglement witnesses) give entanglement breaking maps (separable states).

Keywords

Cite

@article{arxiv.1109.2300,
  title  = {A characterization of optimal entanglement witnesses},
  author = {Xiaofei Qi and Jinchuan Hou},
  journal= {arXiv preprint arXiv:1109.2300},
  year   = {2015}
}

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