1306.3057 (D. S. Gonçalves et al.)

Global convergence of diluted iterations in maximum-likelihood quantum
tomography    [PDF]

D. S. Gonçalves, M. A. Gomes-Ruggiero, C. Lavor

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.

View original: http://arxiv.org/abs/1306.3057