Quantum information and technology Seminar by Jeffrey Schenker

Frontiers in Quantum Information and Technology

Professor, Department of Mathematics, Michigan State University

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.)