Monogamy of Bell correlations and Tsirelson's bound

Benjamin Toner, Frank Verstraete

Publications: Electronic/multimedia outputWeb publication


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.
Original languageEnglish
Publication statusPublished - 1 Nov 2006

Austrian Fields of Science 2012

  • 103025 Quantum mechanics


  • quant-ph

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