Monogamy of non-local quantum correlations

By B. Toner. Proceedings of the Royal Society A, 2006

181 citations recorded by the source corpus.

We describe a new technique for obtaining Tsirelson bounds, which are upper bounds on the quantum value of a Bell inequality. Since quantum correlations do not allow signalling, we obtain a Tsirelson bound by maximizing over all no-signalling probability distributions. This maximization can be cast as a linear programme. 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 Clauser–Horne–Shimony–Holt 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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1b6d2d25fd8d0ed2b5b0047b47d073bed5a602ae

Citations in the corpus

• Lessons from the information paradox (2020, unknown): “Toner and Verstraete [40] (see also [41]) showed that in any state, |Ψ〉, 〈Ψ|CAB|Ψ〉(2) + 〈Ψ|CAC |Ψ〉(2) ≤ 8.”