Optimal measurements for tests of Einstein-Podolsky-Rosen steering with no detection loophole using two-qubit Werner states

D. A. Evans and H. M. Wiseman
Phys. Rev. A 90, 012114 – Published 25 July 2014

Abstract

It has been shown in earlier works that the vertices of Platonic solids are good measurement choices for tests of Einstein-Podolsky-Rosen (EPR)-steering using isotropically entangled pairs of qubits. Such measurements are regularly spaced, and measurement diversity is a good feature for making EPR-steering inequalities easier to violate in the presence of experimental imperfections. However, such measurements are provably suboptimal. Here, we develop a method for devising optimal strategies for tests of EPR-steering, in the sense of being most robust to mixture and inefficiency (while still closing the detection loophole, of course), for a given number n of measurement settings. We allow for arbitrary measurement directions, and arbitrary weightings of the outcomes in the EPR-steering inequality. This is a difficult optimization problem for large n, so we also consider more practical ways of constructing near-optimal EPR-steering inequalities in this limit.

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  • Received 23 April 2014

DOI:https://doi.org/10.1103/PhysRevA.90.012114

©2014 American Physical Society

Authors & Affiliations

D. A. Evans and H. M. Wiseman

  • Centre for Quantum Computation and Communication Technology (Australian Research Council), Griffith University, Brisbane, 4111, Australia and Centre for Quantum Dynamics, Griffith University, Brisbane, 4111, Australia

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Vol. 90, Iss. 1 — July 2014

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