Structure of Uniformly Continuous Quantum Markov Semigroups

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.

References in corpus (1)

• The structures of state space concerning Quantum Dynamical Semigroups

Cited by in corpus (8)

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• Lower bound for simulation cost of open quantum systems: Lipschitz continuity approach
• The decoherence-free subalgebra of Gaussian Quantum Markov Semigroups
• On the generators of quantum dynamical semigroups with invariant subalgebras