Quantum steering with positive operator valued measures
| Autor: | Nguyen, H. Chau, Milne, Antony, Vu, Thanh, Jevtic, Sania |
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| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8121/aad115 |
| Popis: | 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 $\frac{1}{2}$ within an accuracy of $10^{-3}$. Comment: 12 pages, 6 figures, comments welcome. This improved version has new discussion about symmetry of the state and its implications for LHS ensembles, moreover, we reveal that local hidden state models can always be taken over pure quantum states |
| Databáze: | arXiv |
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