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arXiv:1712.00637

Relationships between the decoherence-free algebra and the set of fixed points

Franco Fagnola, Emanuela Sasso, Veronica Umanità

Published Dec 2, 2017• 0 citations
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Abstract

We show that, for a Quantum Markov Semigroup (QMS) with a faithful normal invariant state, the atomicity of the decoherence-free subalgebra and environmental decoherence are equivalent. Moreover, we characterize the set of reversible states and explicitly describe the relationship between the decoherence-free subalgebra and the fixed point subalgebra for QMSs with the above equivalent properties.

DOI
10.48550/arxiv.1712.00637

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