# Tsirelson’s problem and an embedding theorem for groups arising from non-local games

@article{Slofstra2019TsirelsonsPA,
title={Tsirelson’s problem and an embedding theorem for groups arising from non-local games},
author={William Slofstra},
journal={Journal of the American Mathematical Society},
year={2019}
}
• William Slofstra
• Published 9 June 2016
• Mathematics
• Journal of the American Mathematical Society
Tsirelson’s problem asks whether the commuting operator model for two-party quantum correlations is equivalent to the tensor-product model. We give a negative answer to this question by showing that there are non-local games which have perfect commuting-operator strategies, but do not have perfect tensor-product strategies. The weak Tsirelson problem, which is known to be equivalent to the Connes embedding problem, remains open. The examples we construct are instances of (binary) linear system…
80 Citations
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