Products of finite-dimensional quantum channels asymptotically forget input states under decay of the centered trace-Dobrushin coefficient, yielding unique replacement channels and convergence for deterministic and random inhomogeneous MPS.
Spectral Properties of Positive Maps on C*-Algebras
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Proves that the index of primitivity for primitive unital Schwarz maps is bounded above by 2(D-1)^2, extending Rahaman's result to maps that need not preserve trace.
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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Asymptotic Replacement for Quantum Channel Products with Applications to Inhomogeneous Matrix Product States
Products of finite-dimensional quantum channels asymptotically forget input states under decay of the centered trace-Dobrushin coefficient, yielding unique replacement channels and convergence for deterministic and random inhomogeneous MPS.
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A note on the quantum Wielandt inequality
Proves that the index of primitivity for primitive unital Schwarz maps is bounded above by 2(D-1)^2, extending Rahaman's result to maps that need not preserve trace.
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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.