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Title: On the no-signaling approach to quantum nonlocality

Abstract

The no-signaling approach to nonlocality deals with separable and inseparable multiparty correlations in the same set of probability states without conflicting causality. The set of half-spaces describing the polytope of no-signaling probability states that are admitted by the most general class of Bell scenarios is formulated in full detail. An algorithm for determining the skeleton that solves the no-signaling description is developed upon a new strategy that is partially pivoting and partially incremental. The algorithm is formulated rigorously and its implementation is shown to be effective to deal with the highly degenerate no-signaling descriptions. Several applications of the algorithm as a tool for the study of quantum nonlocality are mentioned. Applied to a large set of bipartite Bell scenarios, we found that the corresponding no-signaling polytopes have a striking high degeneracy that grows up exponentially with the size of the Bell scenario.

Authors:
;  [1]
  1. Instituto de Física, UASLP, San Luis Potosí, San Luis Potosí (Mexico)
Publication Date:
OSTI Identifier:
22403117
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CAUSALITY; CORRELATIONS; PROBABILITY

Citation Formats

Méndez, J. M., E-mail: manolo@ifisica.uaslp.mx, and Urías, Jesús, E-mail: jurias@ifisica.uaslp.mx. On the no-signaling approach to quantum nonlocality. United States: N. p., 2015. Web. doi:10.1063/1.4914336.
Méndez, J. M., E-mail: manolo@ifisica.uaslp.mx, & Urías, Jesús, E-mail: jurias@ifisica.uaslp.mx. On the no-signaling approach to quantum nonlocality. United States. doi:10.1063/1.4914336.
Méndez, J. M., E-mail: manolo@ifisica.uaslp.mx, and Urías, Jesús, E-mail: jurias@ifisica.uaslp.mx. Sun . "On the no-signaling approach to quantum nonlocality". United States. doi:10.1063/1.4914336.
@article{osti_22403117,
title = {On the no-signaling approach to quantum nonlocality},
author = {Méndez, J. M., E-mail: manolo@ifisica.uaslp.mx and Urías, Jesús, E-mail: jurias@ifisica.uaslp.mx},
abstractNote = {The no-signaling approach to nonlocality deals with separable and inseparable multiparty correlations in the same set of probability states without conflicting causality. The set of half-spaces describing the polytope of no-signaling probability states that are admitted by the most general class of Bell scenarios is formulated in full detail. An algorithm for determining the skeleton that solves the no-signaling description is developed upon a new strategy that is partially pivoting and partially incremental. The algorithm is formulated rigorously and its implementation is shown to be effective to deal with the highly degenerate no-signaling descriptions. Several applications of the algorithm as a tool for the study of quantum nonlocality are mentioned. Applied to a large set of bipartite Bell scenarios, we found that the corresponding no-signaling polytopes have a striking high degeneracy that grows up exponentially with the size of the Bell scenario.},
doi = {10.1063/1.4914336},
journal = {Journal of Mathematical Physics},
number = 3,
volume = 56,
place = {United States},
year = {Sun Mar 15 00:00:00 EDT 2015},
month = {Sun Mar 15 00:00:00 EDT 2015}
}