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International Journal of Theoretical Physics

Some Characterizations of EPR Steering

Ziwei Li, Zhihua Guo, Huaixin Cao

Published Aug 3, 2018• 10 citations
Publisher
DOI
10.1007/s10773-018-3843-y

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Einstein-Podolsky-Rosen (EPR) steering is a form of quantum nonlocality which is intermediate between entanglement and Bell nonlocality. EPR steering is a resource for quantum key distribution that is device independent on only one side in that it certifies bipartite entanglement when one party's device is not characterized while the other party's device is fully characterized. In this work, we introduce two types of genuine tripartite EPR steering, and derive two steering inequalities to detect them. In a semi-device-independent scenario where only the dimensions of two parties are assumed, the correlations which violate one of these inequalities also certify genuine tripartite entanglement. It is known that Alice can demonstrate bipartite EPR steering to Bob if and only if her measurement settings are incompatible. We demonstrate that quantum correlations can also detect tripartite EPR steering from Alice to Bob and Charlie, even if Charlie's measurement settings are compatible.
Abstract Einstein–Podolsky–Rosen (EPR) steering is a method that is used to analyze the physical inseparability of a quantum system state. Theoretically, the preferences of EPR steering behaviour in the inseparability detection can be suitably characterized by means of steering criterion. Here, we propose a scheme to test the EPR steering of a bipartite entangled state via quantum measurement. Based on the operation angles involved in the measurement, we derive a series of conditions that determine whether the EPR steering exists or not, and further prove that for the specific initial state the EPR steering can be tested. As an application, we apply our scheme to identify the steerability of the asymmetry state and Werner state, and the steering testing can be realized by adjusting the operation angles.