One-way Einstein-Podolsky-Rosen Steering

Bowles, J. and Vértesi, Tamás and Quintino, M. T. and Brunner, N. (2014) One-way Einstein-Podolsky-Rosen Steering. PHYSICAL REVIEW LETTERS, 112 (20). ISSN 0031-9007

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Abstract

Einstein-Podolsky-Rosen steering is a form of quantum nonlocality exhibiting an inherent asym- metry between the observers, Alice and Bob. A natural question is then whether there exist entangled states which are one-way steerable, that is, Alice can steer Bob’s state, but it is impossible for Bob to steer the state of Alice. So far, such a phenomenon has been demonstrated for continuous variable systems, but with a strong restriction on allowed measurements, namely considering only Gaussian measurements. Here we present a simple class of entangled two-qubit states which are one-way steerable, considering arbitrary projective measurements. This shows that the nonlocal properties of entangled states can be fundamentally asymmetrical.

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