An Improved Quantum Projection Filter
Quantum Physics
2019-10-01 v1 Systems and Control
Systems and Control
Optimization and Control
Abstract
This work extends the previous quantum projection filtering scheme in [Gao Q., Zhang G., & Petersen I. R. (2019). An exponential quantum projection filter for open quantum systems. \emph{Automatica}, 99, 59-68.], 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.
Keywords
Cite
@article{arxiv.1909.13524,
title = {An Improved Quantum Projection Filter},
author = {Qing Gao and Guofeng Zhang and Ian R. Petersen},
journal= {arXiv preprint arXiv:1909.13524},
year = {2019}
}
Comments
11 pages, 1 figure, submitted for publication. Comments are welcome