Decompositions of Hilbert Spaces, Stability Analysis and Convergence Probabilities for Discrete-Time Quantum Dynamical Semigroups
Quantum Physics
2015-06-22 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1407.2566,
title = {Decompositions of Hilbert Spaces, Stability Analysis and Convergence Probabilities for Discrete-Time Quantum Dynamical Semigroups},
author = {Giuseppe Ilario Cirillo and Francesco Ticozzi},
journal= {arXiv preprint arXiv:1407.2566},
year = {2015}
}
Comments
14 pages, no figures, to appear in Journal of Physics A, 2015