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

Quantum Physics 2021-01-14 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2101.05121,
  title  = {The general structure of the Decoherence-free subalgebra for uniformly continuous Quantum Markov semigroups},
  author = {Emanuela Sasso and Veronica Umanità},
  journal= {arXiv preprint arXiv:2101.05121},
  year   = {2021}
}