Schmidt states and positivity of linear maps

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Using pure entangled Schmidt states, we show that m-positivity of a map is bounded by the ranks of its negative Kraus matrices. We also give an algebraic condition for a map to be m-positive. We interpret these results in the context of positive maps as entanglement witnesses, and find that only 1-positive maps are needed for testing entanglement.
7 pages

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/92951

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0506095
 http://arxiv.org/abs/quant-ph/0506095

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arXiv