Periodicity in Ergodic Quantum Processes
arXiv:2604.09422
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.
36 pages; supported by National Science Foundation Grant No. 2153946