All multipartite Bell correlation inequalities for two dichotomic observables per site

Research output: Contribution to journalArticleResearchpeer review

Authors

Research Organisations

View graph of relations

Details

Original languageEnglish
Pages (from-to)032112
Number of pages1
JournalPhys. Rev. A
Volume64
Issue number3
Publication statusPublished - 2001

Abstract

We construct a set of 2(2n) independent Bell-correlation inequalities for n-partite systems with two dichotomic observables each, which is complete in the sense that the inequalities are satisfied if and only if the correlations considered allow a local classical model. All these inequalities can be summarized in a single, albeit nonlinear inequality. We show that quantum correlations satisfy this condition provided the state has positive partial transpose with respect to any grouping of the n systems into two subsystems. We also provide an efficient algorithm for finding the maximal quantum-mechanical violation of each inequality, and show that the maximum is always attained for the generalized GHZ state.

Cite this

All multipartite Bell correlation inequalities for two dichotomic observables per site. / Werner, R. F.; Wolf, M. M.
In: Phys. Rev. A, Vol. 64, No. 3, 2001, p. 032112.

Research output: Contribution to journalArticleResearchpeer review

Download
@article{6ed8345822a54bdf8a14f5169bc7444a,
title = "All multipartite Bell correlation inequalities for two dichotomic observables per site",
abstract = "We construct a set of 2(2n) independent Bell-correlation inequalities for n-partite systems with two dichotomic observables each, which is complete in the sense that the inequalities are satisfied if and only if the correlations considered allow a local classical model. All these inequalities can be summarized in a single, albeit nonlinear inequality. We show that quantum correlations satisfy this condition provided the state has positive partial transpose with respect to any grouping of the n systems into two subsystems. We also provide an efficient algorithm for finding the maximal quantum-mechanical violation of each inequality, and show that the maximum is always attained for the generalized GHZ state.",
author = "Werner, {R. F.} and Wolf, {M. M.}",
year = "2001",
language = "English",
volume = "64",
pages = "032112",
journal = "Phys. Rev. A",
issn = "2469-9934",
publisher = "American Physical Society",
number = "3",

}

Download

TY - JOUR

T1 - All multipartite Bell correlation inequalities for two dichotomic observables per site

AU - Werner, R. F.

AU - Wolf, M. M.

PY - 2001

Y1 - 2001

N2 - We construct a set of 2(2n) independent Bell-correlation inequalities for n-partite systems with two dichotomic observables each, which is complete in the sense that the inequalities are satisfied if and only if the correlations considered allow a local classical model. All these inequalities can be summarized in a single, albeit nonlinear inequality. We show that quantum correlations satisfy this condition provided the state has positive partial transpose with respect to any grouping of the n systems into two subsystems. We also provide an efficient algorithm for finding the maximal quantum-mechanical violation of each inequality, and show that the maximum is always attained for the generalized GHZ state.

AB - We construct a set of 2(2n) independent Bell-correlation inequalities for n-partite systems with two dichotomic observables each, which is complete in the sense that the inequalities are satisfied if and only if the correlations considered allow a local classical model. All these inequalities can be summarized in a single, albeit nonlinear inequality. We show that quantum correlations satisfy this condition provided the state has positive partial transpose with respect to any grouping of the n systems into two subsystems. We also provide an efficient algorithm for finding the maximal quantum-mechanical violation of each inequality, and show that the maximum is always attained for the generalized GHZ state.

M3 - Article

VL - 64

SP - 032112

JO - Phys. Rev. A

JF - Phys. Rev. A

SN - 2469-9934

IS - 3

ER -

By the same author(s)