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MQC Seminar (9/28/23): Theory of Ergodic Quantum Processes

The MQC is starting a seminar series. They will take place at 11 am on alternating Thursdays, starting Thursday, Sept. 28.


The first speaker will be Jeffrey Schenker from MSU:


Theory of Ergodic Quantum Processes

Thursday September 28, 2023

11:00am - 12:00pm ET

CMSE Seminar Room (1502 EB)

https://msu.zoom.us/j/96182822251

Passcode: 582029


Abstract

Recent results on the evolution of open quantum systems will be discussed.

An open quantum system has non-trivial interactions with its environment,

or with a measurement apparatus. In this talk, we will first review the

background of open quantum systems and their description and then

introduce the notion of a quantum process, as a sequence of quantum

channels (trace preserving, completely positive maps on the space of density

matrices). We will present results about the long-time behavior of ergodic

quantum processes, composed of random channels sampled along the

trajectory of an ergodic map, and present applications of these results to the

theory of noisy repeated measurement processes. (Joint work with Ramis

Movassagh, Lubashan Pathirana, Renaud Raquépas, Owen Ekblad, and

Eloy Nadales.)

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