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arXiv · 0907.1109

Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox

E. G. Cavalcanti·S. J. Jones·H. M. Wiseman·M. D. Reid
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Abstract

We formally link the concept of steering (a concept created by Schrodinger but only recently formalised by Wiseman, Jones and Doherty [Phys. Rev. Lett. 98, 140402 (2007)] and the criteria for demonstrations of Einstein-Podolsky-Rosen (EPR) paradox introduced by Reid [Phys. Rev. A, 40, 913 (1989)]. We develop a general theory of experimental EPR-steering criteria, derive a number of criteria applicable to discrete as well as continuous-variables observables, and study their efficacy in detecting that form of nonlocality in some classes of quantum states. We show that previous versions of EPR-type criteria can be rederived within this formalism, thus unifying these efforts from a modern quantum-information perspective and clarifying their conceptual and formal origin. The theory follows in close analogy with criteria for other forms of quantum nonlocality (Bell-nonlocality, entanglement), and because it is a hybrid of those two, it may lead to insights into the relationship between the different forms of nonlocality and the criteria that are able to detect them.

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E. G. Cavalcanti, S. J. Jones, H. M. Wiseman, M. D. Reid. 2009-10-05. Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox. https://doi.org/10.1103/physreva.80.032112

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