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SUMMARY:Anna Szczepanek
DTSTART:20201023T081500Z
DTEND:20201023T094500Z
DTSTAMP:20260423T021931Z
UID:DSSUJ/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/11/">D
 ynamical Entropy of Unitary Operators in Finite-dimensional State Spaces</
 a>\nby Anna Szczepanek as part of Dynamical systems seminar at the Jagiell
 onian University\n\nLecture held in 1016.\n\nAbstract\nQuantum dynamical e
 ntropy quantifies the irreducible randomness of the sequences of outcomes 
 generated by a repetitively measured quantum system that between each two 
 consecutive measurements is subject to unitary evolution. For several clas
 ses of quantum measurements\, we derive an efficient formula for dynamical
  entropy by establishing the limiting measure of the Markov chain generate
 d by the system and evaluating the Blackwell integral entropy formula. We 
 also discuss the class of chaotic unitaries\, i.e.\, those with potential 
 to generate maximally random sequences of outcomes. Employing the notion o
 f complex Hadamard matrices\, we give a necessary condition for chaoticity
  (expressed in terms of the operator’s trace and determinant)\, which in
  dimensions 2 and 3 is sufficient as well.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/11/
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