2016/12/19 by Christophe Vuillot, Denis Rosset, Ming-Ming Wang +3 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.26421/qic18.11-12
published as Quantum Information and Computation, Vol. 18, No. 11 \& 12 (2018) 0910-0926 · 5 pages + 6 pages appendix, 2 figures, comments welcome
arxiv created 2017/09/03 · arxiv updated 2019/03/12
We present an algebraic description of the sets of local correlations in arbitrary networks, when the parties have finite inputs and outputs. We consider networks generalizing the usual Bell scenarios by the presence of multiple uncorrelated sources. We prove a finite upper bound on the cardinality of the value sets of the local hidden variables. Consequently, we find that the sets of local correlations are connected, closed and semialgebraic, and bounded by tight polynomial Bell-like inequalities.