Open Systems & Information Dynamics

Structure of Uniformly Continuous Quantum Markov Semigroups with Atomic Decoherence-free Subalgebra

Franco Fagnola, Emanuela Sasso, Veronica Umanità

Published Sep 1, 2017• 12 citations

Abstract

We establish the structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra and apply the result to derive a natural decomposition of a Markovian open quantum system into its noiseless (decoherence-free) and irreducible (ergodic) components. We deduce the structure of invariant states and a method for finding decoherence-free subsystems and subspaces. The relationship between environment induced decoherence and the decoherence-free subalgebra is also discussed.

DOI: 10.1142/s1230161217400054

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