Schmidt states and positivity of linear maps

Details Schmidt states and positivity of linear maps Schmidt states and positivity of linear maps

2005-06-13

arxiv.org/abs/quant-ph/0506095v1

Physics

Quantum Physics

7 pages

Scientific paper

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.

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