Quantum Steering. (arXiv:1903.06663v1 [quant-ph])

Quantum steering is a notion introduced by Schr\"odinger in order to capture
the essence of the Einstein-Podolsky-Rosen argument. In this paper we review
the theory of quantum steering. We present the basic definitions of steering
and local hidden state models and their relation to entanglement and Bell
nonlocality. Then, we describe the various criteria to characterize
steerability and structural results on the phenomenon. A detailed discussion is
given on the connections between steering and incompatibility of quantum
measurements. Finally, we review applications of steering in quantum
information processing and further related topics.

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