Évènement

Oleg Szehr
University of Vienna, Austria
https://www.researchgate.net/scientific-contributions/Oleg-Szehr-2051020412

Date(s) : 10/02/2014   iCal
11h15 - 12h15

We begin this talk with an introduction to the theory of quantum Markov chains. Such chains constitute a natural quantum-mechanical generalization of the concept of a Markov chain and are used to model the evolution of certain quantum systems. Both in the classical and quantum context many applications require estimates that quantify convergence time and stability of the chain. We develop a powerful framework that yields such estimates in terms of the spectrum of the transition map in the second part of the talk. The methods employed are new even to the well studied theory of classical Markov chains. The key observation is to relate the original problem of bounding a function of a transition map of a Markov chain to a Nevanlinna-Pick interpolation problem in Wiener algebra.

Thesis: https://inis.iaea.org/search/search.aspx?orig_q=RN:46021439

Catégories

• Séminaire