On stability of continuous-time quantum-filters

Details On stability of continuous-time quantum-filters On stability of continuous-time quantum-filters

2011-03-14

arxiv.org/abs/1103.2706v2

Mathematics

Optimization and Control

Scientific paper

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.

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