MINES ParisTech CAS - Centre automatique et systèmes

Stability of continuous-time quantum filters with measurement imperfections

Authors: H. Amini, C. Pellegrini, P. Rouchon, Russian Journal of Mathematical Physics, Vol. 21, pp. 297-315, 2014
The fidelity between the state of a continuously observed quantum system and the state of its associated quantum filter, is shown to be always a submartingale. The observed system is assumed to be governed by a continuous-time Stochastic Master Equation (SME), driven simultaneously by Wiener and Poisson processes and that takes into account incompleteness and errors in measurements. This stability result is the continuous-time counterpart of a similar stability result already established for discrete-time quantum systems and where the measurement imperfections are modeled by a left stochastic matrix.
Download PDF
author = {C. Pellegrini H. Amini, P. Rouchon},
title = {Stability of continuous-time quantum filters with measurement imperfections},
journal = {Russian Journal of Mathematical Physics},
volume = {21},
number = {},
pages = {297-315},
year = {2014},