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

By Eric Cavalcanti, S. J. Jones, Howard M. Wiseman, M. Reid. 2009

495 citations recorded by the source corpus.

We formally link the concept of steering (a concept created by Schrodinger but only recently formalized 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-variable 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 and 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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Physiology

View Paper: https://www.semanticscholar.org/paper/688770a2a4d78c936508c10ca99b7d07542afbd3

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

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Roman Schnabel

Citations in the corpus

Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole (2011, background): “The recent formalization [3] of ‘‘EPR-steering’’ [4] as a quantuminformation task further generalizes Schrödinger’s notion by allowing for mixed states and imperfect measurements.”
Observation of one-way Einstein–Podolsky–Rosen steering (2012, background): “Recent theoretical works have precisely defined this property [9, 10].”
Inequivalence of entanglement, steering, and Bell nonlocality for general measurements (2015, methodology): “In this case, steering can be detected via violation of a steering inequality [5].”
Quantum steering (2019, background): “So, |〈Q〉| ≤ √ 3 is a valid steering inequality that allows detecting the steerability of the singlet state (Cavalcanti et al., 2009).”
Squeezed states of light and their applications in laser interferometers (2016, methodology): “Bi-partite squeezed states are always entangled but in this case they are even Einstein-Podolsky-Rosen (EPR) entangled [Reid (1989)], allowing the demonstration of the quantum steering effect [Einstein et al. (1935); Schrödinger (1935); Reid (1989); Cavalcanti et al. (2009)].”