Negativity and steering: A stronger Peres conjecture

By Matthew F Pusey. 2013

169 citations recorded by the source corpus.

The violation of a Bell inequality certifies the presence of entanglement even if neither party trusts their measurement devices. Recently Moroder et al. [T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O. G\"uhne, Phys. Rev. Lett. 111, 030501 (2013)] showed how to make this statement quantitative, using semidefinite programming to calculate how much entanglement is certified by a given violation. Here I adapt their techniques to the case in which Bob's measurement devices are in fact trusted, the setting for Einstein-Podolsky-Rosen steering inequalities. Interestingly, all of the steering inequalities studied turn out to require negativity for their violations. This supports a significant strengthening of Peres's conjecture that negativity is required to violate a bipartite Bell inequality.

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

View Paper: https://www.semanticscholar.org/paper/4102810f53d171ff5eb0aa125c5ce56e4a7558da

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Inequivalence of entanglement, steering, and Bell nonlocality for general measurements (2015, methodology): “Methods for the detection [5–8] and quantification [9–12] of steering were developed.”
Quantum steering (2019, background): “(2) can be decided via the so-called semidefinite programming (SDP) technique (Pusey, 2013).”