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arXiv · 1103.2706

On stability of continuous-time quantum-filters

Hadis Amini·Mazyar Mirrahimi·Pierre Rouchon
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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.

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Hadis Amini, Mazyar Mirrahimi, Pierre Rouchon. 2011-03-14. On stability of continuous-time quantum-filters. https://arxiv.org/abs/1103.2706

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