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

F. Fagnola; E. Sasso; V. Umanita'

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arXiv · 1712.00637

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

F. Fagnola·E. Sasso·V. Umanita'

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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.

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F. Fagnola, E. Sasso, V. Umanita'. 2017-12-02. Relationships between the decoherence-free algebra and the set of fixed points. https://arxiv.org/abs/1712.00637

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