Periodicity in Ergodic Quantum Processes
Mathematical Physics
2026-04-13 v1 Dynamical Systems
Functional Analysis
math.MP
Quantum Physics
Abstract
We study the periodic properties of sequences of quantum channels sampled from an ergodic stochastic process satisfying a natural irreducibility condition. We relate these periodic properties to certain global spectral data defined by the sequence of quantum channels, proving a general Perron-Frobenius-type theorem. We give examples to motivate the theory and conclude with some open problems and conjectures.
Keywords
Cite
@article{arxiv.2604.09422,
title = {Periodicity in Ergodic Quantum Processes},
author = {Owen Ekblad and Jeffrey Schenker},
journal= {arXiv preprint arXiv:2604.09422},
year = {2026}
}
Comments
36 pages; supported by National Science Foundation Grant No. 2153946