On stability of continuous-time quantum-filters
Optimization and Control
2011-08-09 v2 Systems and Control
Quantum Physics
Abstract
We prove that the fidelity between the quantum state governed by a continuous time stochastic master equation driven by a Wiener process and its associated quantum-filter state is a sub-martingale. This result is a generalization to non-pure quantum states where fidelity does not coincide in general with a simple Frobenius inner product. This result implies the stability of such filtering process but does not necessarily ensure the asymptotic convergence of such quantum-filters.
Cite
@article{arxiv.1103.2706,
title = {On stability of continuous-time quantum-filters},
author = {Hadis Amini and Mazyar Mirrahimi and Pierre Rouchon},
journal= {arXiv preprint arXiv:1103.2706},
year = {2011}
}