Dynamical Entropy of Unitary Operators in Finite-dimensional State Spaces

Anna Szczepanek

23-Oct-2020, 08:15-09:45 (3 years ago)

Abstract: Quantum dynamical entropy 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 classes of quantum measurements, we derive an efficient formula for dynamical entropy by establishing the limiting measure of the Markov chain generated 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 of 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.

dynamical systems

Audience: researchers in the topic


Dynamical systems seminar at the Jagiellonian University

Organizers: Dominik Kwietniak, Roman Srzednicki, Klaudiusz Wójcik
Curator: Marcin Kulczycki*
*contact for this listing

Export talk to