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SUMMARY:Approximate fixed points of classical and quantum channels and rob
 ustness theory of quantum Markov chains  - Robert Salzmann\, DAMTP\, Unive
 rsity of Cambridge
DTSTART:20230426T130000Z
DTEND:20230426T140000Z
UID:TALK195856@talks.cam.ac.uk
CONTACT:Prof. Ramji Venkataramanan
DESCRIPTION:The talk will focus on some preliminary results about approxim
 ate fixed points of channels. In particular it concerns the following ques
 tion: \nGiven a quantum (or classical) channel and a quantum state (or pro
 bability distribution) which is almost a fixed point of given channel\, ca
 n we find a new channel and state close to the original ones such that tho
 se satisfy an exact fixed point equation? This question can be asked under
  many interesting constraints where the original channel and state are ass
 umed to have certain structures which the new channel and state are suppos
 ed to satisfy as well. \nIn this talk I will present an affirmative answer
  in the fully classical case. Moreover\, as a motivating application of th
 e abstract fixed point equation\, I will talk about the robustness theory 
 of so-called quantum Markov chains\, which is a long standing open problem
  in quantum information theory
LOCATION:MR11 (B1.39)\, CMS Pavilion B
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