Monogamy of Bell correlations and Tsirelson's bound

2006/11/01 by Benjamin Toner, Frank Verstraete, Toner, Benjamin +1 · 3 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0611001

5 pages, 1 intriguing figure

arxiv created 2006/11/01 · arxiv updated 2009/12/01

Abstract

We consider three parties, A, B, and C, each performing one of two local measurements on a shared quantum state of arbitrary dimension. We characterize the trade-off between the nonlocality of the Bell correlations observed by AB and of those observed by AC. This generalizes Tsirelson's bound on the quantum value of the CHSH inequality, the latter being recovered when C is completely uncorrelated with AB. We also discuss the trade-off between Bell violations and local expectation values of observables that anticommute with the ones used in the Bell test.

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