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arxiv: quant-ph/9605038 · v2 · submitted 1996-05-28 · 🪐 quant-ph

Separability of Mixed States: Necessary and Sufficient Conditions

Michal Horodecki , Pawel Horodecki , Ryszard Horodecki This is my paper
classification 🪐 quant-ph
keywords separabilitynecessarysufficientconditionscriterionmixedstatescase
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We provide necessary and sufficient conditions for separability of mixed states. As a result we obtain a simple criterion of separability for $2\times2$ and $2\times3$ systems. Here, the positivity of the partial transposition of a state is necessary and sufficient for its separability. However, it is not the case in general. Some examples of mixtures which demonstrate the utility of the criterion are considered.

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