Affordable Access

Access to the full text

Stability of continuous-time quantum filters with measurement imperfections

Authors
  • Amini, H.1
  • Pellegrini, C.2
  • Rouchon, P.3
  • 1 Stanford University, Edward L. Ginzton Laboratory, Stanford, CA, 94305, USA , Stanford (United States)
  • 2 Université de Toulouse (UMR 5219), Institut de Mathématiques, IMT, Toulouse, Cedex 9, 31062, France , Toulouse, Cedex 9 (France)
  • 3 Mines ParisTech, Centre Automatique et Systèmes, 60 Bd Saint Michel, Paris cedex 06, 75272, France , Paris cedex 06 (France)
Type
Published Article
Journal
Russian Journal of Mathematical Physics
Publisher
Pleiades Publishing
Publication Date
Jul 01, 2014
Volume
21
Issue
3
Pages
297–315
Identifiers
DOI: 10.1134/S1061920814030029
Source
Springer Nature
Keywords
License
Yellow

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 system 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 incompleteness and errors in measurements. This stability result is the continuous-time counterpart of a similar stability result already established for discrete-time quantum systems and where the measurement imperfections are modelled by a left stochastic matrix.

Report this publication

Statistics

Seen <100 times