Inequivalence of entanglement, steering, and Bell nonlocality for general measurements

Quintino, M. T. and Vértesi, Tamás and Cavalcanti, D. and Augusiak, R. and Demianowicz, M. (2015) Inequivalence of entanglement, steering, and Bell nonlocality for general measurements. PHYSICAL REVIEW A, 92 (3). ISSN 2469-9926

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Abstract

Einstein-Podolsky-Rosen steering is a form of inseparability in quantum theory commonly acknow- ledged to be intermediate between entanglement and Bell nonlocality. However, this statement has so far only been proven for a restricted class of measurements, namely projective measurements. Here we prove that entanglement, one-way steering, two-way steering and nonlocality are genuinely different considering general measurements, i.e. single round positive-operator-valued-measures. Finally, we show that the use of sequences of measurements is relevant for steering tests, as they can be used to reveal “hidden steering”.

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