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.

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

Fagnola, Franco;Umanitã , Veronica
2017-01-01

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.
2017
atomic von Neumann algebra; decoherence; GKSL generator; Quantum dynamical semigroups; Statistical and Nonlinear Physics; Statistics and Probability; Mathematical Physics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1036306
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