Periodicity in Ergodic Quantum Processes

Fuente: arXiv
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Autori principali: Ekblad, Owen, Schenker, Jeffrey
Natura: Preprint
Pubblicazione: 2026
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author Ekblad, Owen
Schenker, Jeffrey
author_facet Ekblad, Owen
Schenker, Jeffrey
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_09422
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Periodicity in Ergodic Quantum Processes
Ekblad, Owen
Schenker, Jeffrey
Mathematical Physics
Dynamical Systems
Functional Analysis
Quantum Physics
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.
title Periodicity in Ergodic Quantum Processes
topic Mathematical Physics
Dynamical Systems
Functional Analysis
Quantum Physics
url https://arxiv.org/abs/2604.09422