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Conference papers
On stability of continuous-time quantum filters
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.
Cited literature [22 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-00683468
Contributor : François Chaplais <>
Submitted on : Wednesday, March 28, 2012 - 6:08:04 PM
Last modification on : Wednesday, January 13, 2021 - 5:02:03 PM
Long-term archiving on: : Friday, June 29, 2012 - 2:28:05 AM
Contributor : François Chaplais <>
Submitted on : Wednesday, March 28, 2012 - 6:08:04 PM
Last modification on : Wednesday, January 13, 2021 - 5:02:03 PM
Long-term archiving on: : Friday, June 29, 2012 - 2:28:05 AM
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StabilityQuantumFilters2011.pd...
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