Department of Mathematics

Mathematical Physics and Operator Algebras

  •  Lubashan Pathirana, MSU
  •  Limiting Theorems for Discrete and Continuous Parameter Stationary and Ergodic Quantum Processes.
  •  10/18/2022
  •  11:00 AM - 12:00 PM
  •  C304 Wells Hall
  •  Jeffrey Hudson Schenker (

A discrete parameter quantum process is represented by a sequence of quantum operations, which are completely positive maps that are trace non-increasing. Given a stationary and ergodic sequences of such maps, an ergodic theorem describing convergence to equilibrium for a general class of such processes was recently obtained by Movassagh and Schenker. Under irreducibility conditions we obtain a law of large numbers that describes the asymptotic behavior of the processes involving the Lyapunov exponent. Furthermore, a central limit type theorem is obtained under mixing conditions. In the continuous time parameter, a quantum process is represented by a double-indexed family of positive map valued random variables. For a stationary and ergodic family of such maps, we extend the results by Movassagh and Schenker to the continuous case.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science