Iterates of quantum operations
Mathematical Physics
2022-06-14 v2 math.MP
Quantum Physics
Abstract
Iterates of quantum operations and their convergence are investigated in the context of mean ergodic theory. We discuss in detail the convergence of the iterates and show that the uniform ergodic theorem plays an essential role. Our results will follow from some general theorems concerning completely positive maps, mean ergodic operators, and operator algebras on Hilbert spaces. A few examples of both finite and infinite dimensional Hilbert spaces are presented as well.
Cite
@article{arxiv.1911.03956,
title = {Iterates of quantum operations},
author = {J. Z. Bernád},
journal= {arXiv preprint arXiv:1911.03956},
year = {2022}
}
Comments
22 pages