Representation of entanglement by negative quasi-probabilities

Abstract

Any bipartite quantum state has quasi-probability representations in terms of separable states. For entangled states these quasi-probabilities necessarily exhibit negativities. Based on the general structure of composite quantum states, one may reconstruct such quasi-propabilities from experimental data. Because of ambiguity, the quasi-probabilities obtained by the bare reconstruction are insufficient to identify entanglement. An optimization procedure is introduced to derive quasi-probabilities with a minimal amount of negativity. Negativities of optimized quasi-probabilities unambiguously prove entanglement, their positivity proves separability.

9 pages, 2 figures; An optimization procedure for the quasi-probabilities has been added

References in corpus (2)

• Experimental determination of a nonclassical Glauber-Sudarshan P function
• Necessary and sufficient conditions for bipartite entanglement

Cited by in corpus (38)

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