Spectral Properties of Circulant Quantum Markov Semigroups

Author:

Bolaños-Servin Jorge R.1,Carbone Raffaella2

Affiliation:

1. Universidad Autónoma Metropolitana, Iztapalapa Campus Av. San Rafael Atlixco 186, Col. Vicentina 09340 Iztapalapa D.F., Mexico

2. Dipartimento di Matematica dell'Università di Pavia, via Ferrata 1, 27100 Pavia, Italy

Abstract

We study the spectral properties of the generators of circulant quantum Markov semigroups. We can find an explicit expression for eigenvalues and eigenvectors of the infinitesimal generator and, in particular, we prove that the spectral gap is strictly positive. By proper techniques, we can reduce the problem on non-commutative algebras to the analogous one for a classical process with a circulant generator.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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