Periodicity in Ergodic Quantum Processes

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 that in particular constitutes a full generalization of the work of Evans and Høegh-Krohn to the disordered setting.

35 pages; supported by National Science Foundation Grant No. 2153946. V.2 has some corrected statements compared with the previous version

Mathematical Physics (math-ph); Dynamical Systems (math.DS); Functional Analysis (math.FA); Quantum Physics (quant-ph)

arXiv:2604.09422 [math-ph]

(or arXiv:2604.09422v2 [math-ph] for this version)

https://doi.org/10.48550/arXiv.2604.09422 Focus to learn more arXiv-issued DOI via DataCite

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