Non-closure of the set of quantum correlations via graphs
Operator Algebras
2018-04-20 v3 Quantum Physics
Abstract
We prove that the set of quantum correlations for a bipartite system of 5 inputs and 2 outputs is not closed. Our proof relies on computing the correlation functions of a graph, which is a concept that we introduce.
Keywords
Cite
@article{arxiv.1709.05032,
title = {Non-closure of the set of quantum correlations via graphs},
author = {Ken Dykema and Vern I. Paulsen and Jitendra Prakash},
journal= {arXiv preprint arXiv:1709.05032},
year = {2018}
}
Comments
Version 3: 17 pages. Added an example of a signed game whose synchronous value is not attained. Few typos fixed and minor changes made