Global convergence of diluted iterations in maximum-likelihood quantum tomography
Mathematical Physics
2015-02-09 v1 math.MP
Abstract
In this paper we present an inexact stepsize selection for the Diluted R\rho R algorithm, used to obtain the maximum likelihood estimate to the density matrix in quantum state tomography. We give a new interpretation for the diluted R\rho R iterations that allows us to prove the global convergence under weaker assumptions. Thus, we propose a new algorithm which is globally convergent and suitable for practical implementation.
Cite
@article{arxiv.1306.3057,
title = {Global convergence of diluted iterations in maximum-likelihood quantum tomography},
author = {D. S. Gonçalves and M. A. Gomes-Ruggiero and C. Lavor},
journal= {arXiv preprint arXiv:1306.3057},
year = {2015}
}