The general structure of the Decoherence-free subalgebra for uniformly continuous Quantum Markov semigroups

preprint2021arXivOpen access

Abstract

By using the decomposition of the decoherence-free subalgebra N(T) in direct integrals of factors, we obtain a structure theorem for every uniformly continuous QMSs. Moreover we prove that, when there exists a faithful normal invariant state, N(T) has to be atomic and decoherence takes place.

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