Bell Inequalities with No Quantum Violation and Unextendable Product Bases

TitleBell Inequalities with No Quantum Violation and Unextendable Product Bases
Publication TypeJournal Article
Year of Publication2011
AuthorsAugusiak, R, Stasińska, J, Hadley, C, Korbicz, JK, Lewenstein, M, Acín, A
JournalPhys. Rev. Lett.
Volume107
Issue7
Pagination070401
Date PublishedAug
Abstract

The strength of classical correlations is subject to certain constraints, commonly known as Bell inequalities. Violation of these inequalities is the manifestation of nonlocality—displayed, in particular, by quantum mechanics, meaning that quantum mechanics can outperform classical physics at tasks associated with such Bell inequalities. Interestingly, however, there exist situations in which this is not the case. We associate an intriguing class of bound entangled states, constructed from unextendable product bases with a wide family of tasks, for which (i) quantum correlations do not outperform the classical ones but (ii) there exist supraquantum nonsignaling correlations that do provide an advantage.

DOI10.1103/PhysRevLett.107.070401
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