On the nosignaling approach to quantum nonlocality
Abstract
The nosignaling approach to nonlocality deals with separable and inseparable multiparty correlations in the same set of probability states without conflicting causality. The set of halfspaces describing the polytope of nosignaling 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 nosignaling 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 nosignaling 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 nosignaling polytopes have a striking high degeneracy that grows up exponentially with the size of the Bell scenario.
 Authors:
 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., Email: manolo@ifisica.uaslp.mx, and Urías, Jesús, Email: jurias@ifisica.uaslp.mx. On the nosignaling approach to quantum nonlocality. United States: N. p., 2015.
Web. doi:10.1063/1.4914336.
Méndez, J. M., Email: manolo@ifisica.uaslp.mx, & Urías, Jesús, Email: jurias@ifisica.uaslp.mx. On the nosignaling approach to quantum nonlocality. United States. doi:10.1063/1.4914336.
Méndez, J. M., Email: manolo@ifisica.uaslp.mx, and Urías, Jesús, Email: jurias@ifisica.uaslp.mx. 2015.
"On the nosignaling approach to quantum nonlocality". United States.
doi:10.1063/1.4914336.
@article{osti_22403117,
title = {On the nosignaling approach to quantum nonlocality},
author = {Méndez, J. M., Email: manolo@ifisica.uaslp.mx and Urías, Jesús, Email: jurias@ifisica.uaslp.mx},
abstractNote = {The nosignaling approach to nonlocality deals with separable and inseparable multiparty correlations in the same set of probability states without conflicting causality. The set of halfspaces describing the polytope of nosignaling 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 nosignaling 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 nosignaling 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 nosignaling 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 = 2015,
month = 3
}

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