Abstract
When are quantum filters asymptotically independent of the initial state? We show that this is the case for absolutely continuous initial states when the quantum stochastic model satisfies an observability condition. When the initial system is finite dimensional, this condition can be verified explicitly in terms of a rank condition on the coefficients of the associated quantum stochastic differential equation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 153-172 |
| Number of pages | 20 |
| Journal | Infinite Dimensional Analysis, Quantum Probability and Related Topics |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2009 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Mathematical Physics
- Applied Mathematics
Keywords
- Asymptotic stability
- Nondemolition observations
- Observability
- Quantum Markov processes
- Quantum filtering