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

• URL: http://arxiv.org/abs/2101.05121v1
• Date: Wed, 13 Jan 2021 15:17:06 GMT
• Title: The general structure of the Decoherence-free subalgebra for uniformly continuous Quantum Markov semigroups
• Authors: Emanuela Sasso, Veronica Umanit\`a
• Abstract summary: We obtain a structure theorem for every uniformly continuous QMSs. We prove that, when there exists a faithful normal invariant state, N(T) has to be atomic and decoherence takes place.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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