Abstract
This work extends the previous quantum projection filtering scheme in Gao et al. (2019), by adding an optimality analysis result. A reformulation of the quantum projection filter is derived by minimizing the truncated Stratonovich stochastic Taylor expansion of the difference between the true quantum trajectory and its approximation on a lower-dimensional submanifold through quantum information geometric techniques. Simulation results for a qubit example demonstrate better approximation performance for the new quantum projection filter.
| Original language | English |
|---|---|
| Article number | 108716 |
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Automatica |
| Volume | 112 |
| DOIs | |
| Publication status | Published - Feb 2020 |
Keywords
- Quantum filters
- Quantum information geometry
- Quantum projection filters
- Stratonovich stochastic Taylor expansions
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering