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The Decoherence-Free Subalgebra of Gaussian Quantum Markov Semigroups

Milan Journal of Mathematics, ISSN: 1424-9294, Vol: 90, Issue: 1, Page: 257-289
2022
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Article Description

We demonstrate a method for finding the decoherence-free subalgebra N(T) of a Gaussian quantum Markov semigroup on the von Neumann algebra B(Γ (C)) of all bounded operator on the Fock space Γ (C) on C. We show that N(T) is a type I von Neumann algebra L∞(Rdc;C)⊗¯B(Γ(Cdf)) determined, up to unitary equivalence, by two natural numbers d, d≤ d. This result is illustrated by some applications and examples.

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