Skip to Main content Skip to Navigation
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.
Document type :
Conference papers
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download

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

File

StabilityQuantumFilters2011.pd...
Files produced by the author(s)

Identifiers

Citation

Hadis Amini, Mazyar Mirrahimi, Pierre Rouchon. On stability of continuous-time quantum filters. 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) 2011, Dec 2011, Orlando, United States. pp.6242 - 6247, ⟨10.1109/CDC.2011.6160631⟩. ⟨hal-00683468⟩

Share

Metrics

Record views

689

Files downloads

552