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On separable decompositions of quantum states with strong positive partial transposes

Quantum Physics 2013-05-06 v1

Abstract

We analyze a class of positive partial transpose states (PPT) such that the positivity of its partial transposition is recognized with respect to canonical factorization of the original density operator (Cholesky block decomposition). We call such PPT states strong PPT states (SPPT). This property, contrary to PPT, is basis dependent. It is shown that there exists a proper subset of SPPT states which are separable and provide a separable decomposition for any of these states.

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Cite

@article{arxiv.1302.1049,
  title  = {On separable decompositions of quantum states with strong positive partial transposes},
  author = {Bogna Bylicka and Dariusz Chruściński and Jacek Jurkowski},
  journal= {arXiv preprint arXiv:1302.1049},
  year   = {2013}
}

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6 pages