Quantum steering with positive operator valued measures

Tools

Nguyen, H. Chau; Milne, Antony; Vu, Thanh and Jevtic, Sania. 2018. Quantum steering with positive operator valued measures. Journal of Physics A, 51(35), 355302. ISSN 1751-8113 [Article]

Text
Nguyen_2018_J._Phys._A%3A_Math._Theor._51_355302.pdf - Published Version
Permissions: Administrator Access Only
Available under License Creative Commons Attribution.
Download (2MB)

Preview

Text
Nguyen_2018_J._Phys._A__Math._Theor._51_355302.pdf - Published Version
Available under License Creative Commons Attribution.
Download (2MB) | Preview

Official URL: http://iopscience.iop.org/article/10.1088/1751-812...

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.

Item Type:

Article

Identification Number (DOI):

https://doi.org/10.1088/1751-8121/aad115