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

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Document typeArticle
Defense date2015-09-08
PublisherAPS
Rights accessOpen Access
Abstract
Einstein-Podolsky-Rosen steering is a form of inseparability in quantum theory commonly acknowledged 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.”
ISSN1050-2947
Publisher versionhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.032107
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