Infinite Dimensional Analysis Quantum Probability and Related Topics

Structure and block representation for circulant quantum processes

Jorge R. Bolaños-Servín, Raffaella Carbone, Roberto B. Quezada

Published Sep 1, 2019• 6 citations

Abstract

We study a family of quantum Markov semigroups with circulant structure. We obtain a complete description of the spectral representation for the Lindbladian and, putting it together with some purely probabilistic properties of a classical associated process, we can study asymptotic properties, invariant states, quantum-detailed balance conditions and reducibility. In particular, in the reducible case, we can construct a generator on a lower-dimensional space which can fully describe the original circulant semigroup.

DOI: 10.1142/s0219025719500176

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