Structural approximations to positive maps and entanglement breaking channels

Details Structural approximations to positive maps and entanglement breaking channels Structural approximations to positive maps and entanglement breaking channels

2008-08-07

arxiv.org/abs/0808.1052v1

Phys. Rev. A 78, 062105 (2008)

Physics

Quantum Physics

18 pages, 3 figures

Scientific paper

10.1103/PhysRevA.78.062105

Structural approximations to positive, but not completely positive maps are approximate physical realizations of these non-physical maps. They find applications in the design of direct entanglement detection methods. We show that many of these approximations, in the relevant case of optimal positive maps, define an entanglement breaking channel and, consequently, can be implemented via a measurement and state-preparation protocol. We also show how our findings can be useful for the design of better and simpler direct entanglement detection methods.

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