Structure of Uniformly Continuous Quantum Markov Semigroups

TL;DR

This paper characterizes the structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebras, enabling decomposition into noiseless and ergodic parts, and introduces methods to identify decoherence-free subsystems.

Contribution

It provides a natural decomposition framework for quantum Markov semigroups with atomic decoherence-free subalgebras, offering new insights into invariant states and decoherence-free structures.

Findings

Decomposition of quantum Markov semigroups into noiseless and ergodic components

New characterization of invariant states

Method for identifying decoherence-free subsystems

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.