Almost synchronous correlations and Tomita-Takesaki theory
Amine Marrakchi, Mikael de la Salle
TL;DR
This paper extends a key distribution lemma to type III von Neumann algebras and explores implications for infinite-dimensional quantum strategies in non-local games.
Contribution
It provides a type III generalization of Connes' distribution lemma and applies it to analyze quantum strategies in non-local games.
Findings
Extended Connes' distribution lemma to type III algebras
Derived consequences for infinite-dimensional quantum strategies
Enhanced understanding of non-local game strategies in quantum information
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGame Theory and Applications · Quantum Mechanics and Applications · Quantum Computing Algorithms and Architecture