CUED Publications database

Decompositions of Hilbert spaces, stability analysis and convergence probabilities for discrete-time quantum dynamical semigroups

Cirillo, GI and Ticozzi, F (2015) Decompositions of Hilbert spaces, stability analysis and convergence probabilities for discrete-time quantum dynamical semigroups. Journal of Physics A: Mathematical and Theoretical, 48. ISSN 1751-8113

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Abstract

© 2015 IOP Publishing Ltd. We investigate convergence properties of discrete-time semigroup quantum dynamics, including asymptotic stability, probability and speed of convergence to pure states and subspaces. These properties are of interest in both the analysis of uncontrolled evolutions and the engineering of controlled dynamics for quantum information processing. Our results include two Hilbert space decompositions that allow for deciding the stability of the subspace of interest and for estimating of the speed of convergence, as well as a formula to obtain the limit probability distribution for a set of orthogonal invariant subspaces.

Item Type: Article
Uncontrolled Keywords: quantum channels quantum dynamical semigroups convergence Perron-Frobenious theory
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 09 Dec 2017 20:14
Last Modified: 21 Nov 2019 02:07
DOI: 10.1088/1751-8113/48/8/085302