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UID:5559@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140210T111500
DTEND;TZID=Europe/Paris:20140210T121500
DTSTAMP:20241030T161253Z
URL:https://www.i2m.univ-amu.fr/evenements/spectral-methods-for-quantum-ma
 rkov-chains/
SUMMARY:Oleg Szehr (University of Vienna\, Austria): Spectral methods for q
 uantum Markov chains
DESCRIPTION:Oleg Szehr: We begin this talk with an introduction to the theo
 ry of quantum Markov chains. Such chains constitute a natural quantum-mech
 anical generalization of the concept of a Markov chain and are used to mod
 el the evolution of certain quantum systems. Both in the classical and qua
 ntum context many applications require estimates that quantify convergence
  time and stability of the chain. We develop a powerful framework that yie
 lds such estimates in terms of the spectrum of the transition map in the s
 econd part of the talk. The methods employed are new even to the well stud
 ied theory of classical Markov chains. The key observation is to relate th
 e original problem of bounding a function of a transition map of a Markov 
 chain to a Nevanlinna-Pick interpolation problem in Wiener algebra. \nThes
 is: https://inis.iaea.org/search/search.aspx?orig_q=RN:46021439\n
CATEGORIES:Séminaire,Analyse et Géométrie
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