Develops a unifying Perron-Frobenius-type theory for ergodic quantum processes on finite-dimensional matrix algebras, with irreducibility characterizations and recovered ergodic theorems, including refinements for the i.i.d. case.
Random repeated quantum interactions and random invariant states
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Periodic properties of quantum channel sequences from ergodic processes are related to global spectral data via a Perron-Frobenius-type theorem.
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Reducibility Theory and Ergodic Theorems for Ergodic Quantum Processes
Develops a unifying Perron-Frobenius-type theory for ergodic quantum processes on finite-dimensional matrix algebras, with irreducibility characterizations and recovered ergodic theorems, including refinements for the i.i.d. case.
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Periodicity in Ergodic Quantum Processes
Periodic properties of quantum channel sequences from ergodic processes are related to global spectral data via a Perron-Frobenius-type theorem.