Correlations between outcomes of random measurements

Author(s): M.C. Tran, B. Dakić, W. Laskowski, T. Paterek

Journal: Physical Review A

Volume: 94

Year: 2016

DOI Number: 10.1103/PhysRevA.94.042302

Link: Link to publication

Abstract:

We recently showed that multipartite correlations between outcomes of random observables detect quantum entanglement in all pure and some mixed states. In this followup article we further develop this approach, derive a maximal amount of such correlations, and show that they are not monotonous under local operations and classical communication. Nevertheless, we demonstrate their usefulness in entanglement detection with a single random observable per party. Finally we study convex-roof extension of the correlations and provide a closed-form necessary and sufficient condition for entanglement in rank-2 mixed states and a witness in general.

Note: Issue 4

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