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Journal articles
Stability of continuous-time quantum filters with measurement imperfections
Abstract : The fidelity between the state of a continuously observed quantum system and the state of its associated quantum filter, is shown to be always a submartingale. The observed sys-tem is assumed to be governed by a continuous-time Stochastic Master Equation (SME), driven simultaneously by Wiener and Poisson processes and that takes into account in-completeness and errors in measurements. This stability result is the continuous-time counterpart of a similar stability result already established for discrete-time quantum sys-tems and where the measurement imperfections are modeled by a left stochastic matrix.
Cited literature [25 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-01111672
Contributor : François Chaplais <>
Submitted on : Friday, January 30, 2015 - 5:17:58 PM
Last modification on : Wednesday, June 9, 2021 - 10:00:09 AM
Long-term archiving on: : Saturday, September 12, 2015 - 7:07:04 AM
Contributor : François Chaplais <>
Submitted on : Friday, January 30, 2015 - 5:17:58 PM
Last modification on : Wednesday, June 9, 2021 - 10:00:09 AM
Long-term archiving on: : Saturday, September 12, 2015 - 7:07:04 AM
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1312.0418v1.pdf
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