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SUMMARY:Stability for projection-valued measures and applications to nonlo
 cal games - Pieter Spaas (Københavns Universitet (University of Copenhage
 n))
DTSTART:20251125T153000Z
DTEND:20251125T163000Z
UID:TALK240421@talks.cam.ac.uk
DESCRIPTION:We will discuss reductions from synchronous nonlocal games to 
 independent set games on graphs. This was first done for perfect strategie
 s by Mančinska\, Roberson\, and Varvitsiotis\, and we will show how to us
 e a new stability theorem to lift this result to approximate strategies. T
 his yields a so-called gap-preserving reduction\, with further implication
 s towards the complexity of deciding the quantum value of independent set 
 games. We will discuss how our theorem fits in the larger framework of sta
 bility results\, as well as some necessary background\, connections to qua
 ntum information theory\, and a sketch of the proof. This talk is based on
  joint work with Laura Mančinska\, Taro Spirig\, and Matthijs Vernooij.
LOCATION:Seminar Room 1\, Newton Institute
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