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SUMMARY:Boundary between classical and quantum physics: the notion of quas
 iprobability
DTSTART:20260421T140000Z
DTEND:20260421T150000Z
DTSTAMP:20260503T045200Z
UID:indico-event-16463@indico.math.cnrs.fr
DESCRIPTION:Speakers: Matéo Spriet (LPP\, Lille)\n\nIn the 80's\, Richard
  Feynman developed the idea that it could be possible to exploit some pro
 perties of quantum systems to build computers that are faster and more pow
 erful than classical computers (i.e.\, those governed by the laws of class
 ical physics). As any classical system can be seen as a quantum system wit
 h a great number of particles\, it becomes crucial to be able to determine
  which systems are ``purely quantum''\, so that one may hope to obtain a `
 `quantum advantage''. I this talk\, I will present a way to tackle this pr
 oblem mathematically\, by using the notion of quasiprobabilistic represent
 ation of quantum mechanics. I will start by describing the mathemathical m
 odels of classical and quantum physics: the former using random variables 
 on symplectic manifolds\,  the latter using operators on Hilbert spaces. 
 A quasiprobabilistic representation is then a way to establish a partial c
 orrespondence between these two models. Such a representation allows in pa
 rticular to single out a ``classical fragment of quantum mechanics''\, whi
 ch can be seen as a sub-part of quantum mechanics that cannot be used to a
 chieve any quantum advantage.\n\nhttps://indico.math.cnrs.fr/event/16463/
LOCATION:318
URL:https://indico.math.cnrs.fr/event/16463/
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