 |
 |
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 Connect in order to contact the contributor
Submitted on : Wednesday, March 28, 2012 - 6:08:04 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:24 AM
Long-term archiving on: : Friday, June 29, 2012 - 2:28:05 AM
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Wednesday, March 28, 2012 - 6:08:04 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:24 AM
Long-term archiving on: : Friday, June 29, 2012 - 2:28:05 AM
File
StabilityQuantumFilters2011.pd...
Files produced by the author(s)