Relationships between the decoherence-free algebra and the set of fixed points
Quantum Physics
2017-12-05 v1 Operator Algebras
Abstract
We show that, for a Quantum Markov Semigroup (QMS) with a faithful normal invariant state, the atomicity of the decoherence-free subalgebra and environmental decoherence are equivalent. Moreover, we characterize the set of reversible states and explicitly describe the relationship between the decoherence-free subalgebra and the fixed point subalgebra for QMSs with the above equivalent properties.
Cite
@article{arxiv.1712.00637,
title = {Relationships between the decoherence-free algebra and the set of fixed points},
author = {F. Fagnola and E. Sasso and V. Umanita'},
journal= {arXiv preprint arXiv:1712.00637},
year = {2017}
}