Almost synchronous correlations and Tomita-Takesaki theory

Amine Marrakchi; Mikael de la Salle

Almost synchronous correlations and Tomita-Takesaki theory

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arxiv 2307.08129 v1 pith:M255PHWM submitted 2023-07-16 math.OA quant-ph

Amine Marrakchi , Mikael de la Salle This is my paper · ORCID

classification math.OAquant-ph

keywords almostconnesconsequencescorrelationsderivedistributionfollowinggames

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The aim of this note is to present a ``type III'' generalization of a distribution lemma of Connes. We then derive, following Vidick, consequences on infinite-dimensional quantum strategies for non-local games.

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Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem
quant-ph 2024-12 conditional novelty 7.0 of 10

This paper proves quantitative preservation of approximate winning strategies between arbitrary synchronous games and graph 3-coloring games, but its undecidability applications rely on an instance-dependent threshold...

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