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Quantum steering with positive operator valued measures

Nguyen, H. Chau; Milne, Antony; Vu, Thanh and Jevtic, Sania. 2018. Quantum steering with positive operator valued measures. IOP Science, 51(355302), ISSN 1751-8113 [Article]

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Abstract or Description

We address the problem of quantum nonlocality with positive operator valued measures (POVM) in the context of Einstein–Podolsky–Rosen quantum steering. We show that, given a candidate for local hidden state (LHS) ensemble, the problem of determining the steerability of a bipartite quantum state of finite dimension with POVMs can be formulated as a nesting problem of two convex objects. One consequence of this is the strengthening of the theorem that justifies choosing the LHS ensemble based on symmetry of the bipartite state. As a more practical application, we study the classic problem of the steerability of two-qubit Werner states with POVMs. We show strong numerical evidence that these states are unsteerable with POVMs up to a mixing probability of within an accuracy of 10−3.

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24 July 2018Published
4 July 2018Published Online
4 July 2018Accepted

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Date Deposited:

26 Oct 2018 10:00

Last Modified:

26 Oct 2018 10:00

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Yes, this version has been peer-reviewed.


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