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Structure of Uniformly Continuous Quantum Markov Semigroups

Mathematical Physics 2016-06-29 v2 math.MP

Abstract

The structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra is established providing a naturaldecomposition of a Markovian open quantum system into its noiseless (decoherence-free) and irreducible (ergodic) components. This leads to a new characterisation of the structure of invariant states and a new method for finding decoherence-free subsystems and subspaces. Examples are presented to illustrate these results.

Keywords

Cite

@article{arxiv.1412.3239,
  title  = {Structure of Uniformly Continuous Quantum Markov Semigroups},
  author = {Julien Deschamps and Franco Fagnola and Emanuela Sasso and Veronica Umanita'},
  journal= {arXiv preprint arXiv:1412.3239},
  year   = {2016}
}
R2 v1 2026-06-22T07:26:14.026Z