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Separability of mixed states: necessary and sufficient conditions. (English) Zbl 1037.81501
Summary: We provide necessary and sufficient conditions for the separability of mixed states. As a result we obtain a simple criterion of the 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, this is not the case in general. Some examples of mixtures which demonstrate the utility of the criterion are considered.

MSC:
81P05 General and philosophical questions in quantum theory
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