Monogamy of nonlocal quantum correlations

Details Monogamy of nonlocal quantum correlations Monogamy of nonlocal quantum correlations

2006-01-26

arxiv.org/abs/quant-ph/0601172v2

Proc. R. Soc. A 465, 59--69 (2009)

Physics

Quantum Physics

This is the submitted version. The refereed version, which contains an additional result about strong parallel repetition and

Scientific paper

10.1098/rspa.2008.0149

We describe a new technique for obtaining Tsirelson bounds, or upper bounds on the quantum value of a Bell inequality. Since quantum correlations do not allow signaling, we obtain a Tsirelson bound by maximizing over all no-signaling probability distributions. This maximization can be cast as a linear program. In a setting where three parties, A, B, and C, share an entangled quantum state of arbitrary dimension, we: (i) bound the trade-off between AB's and AC's violation of the CHSH inequality, and (ii) demonstrate that forcing B and C to be classically correlated prevents A and B from violating certain Bell inequalities, relevant for interactive proof systems and cryptography.

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