A class of positive atomic maps

Details A class of positive atomic maps A class of positive atomic maps

2007-11-28

arxiv.org/abs/0711.4483v1

J. Phys. A: Math. Theor. 41 (2008) 215201

Physics

Quantum Physics

15 pages

Scientific paper

10.1088/1751-8113/41/21/215201

We construct a new class of positive indecomposable maps in the algebra of `d x d' complex matrices. These maps are characterized by the `weakest' positivity property and for this reason they are called atomic. This class provides a new reach family of atomic entanglement witnesses which define important tool for investigating quantum entanglement. It turns out that they are able to detect states with the `weakest' quantum entanglement.

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