Ralph, Jason F ORCID: 0000-0002-4946-9948, Maskell, Simon ORCID: 0000-0003-1917-2913 and Kacobs, K
(2017)
Multiparameter estimation along quantum trajectories with sequential Monte Carlo methods.
Physical Review A (Atomic, Molecular and Optical Physics), 96 (5).
052306-.
This is the latest version of this item.
Text
SMC_SME.pdf - Author Accepted Manuscript Download (1MB) |
|
Text
1707.04725 (1).pdf - Author Accepted Manuscript Download (1MB) |
Abstract
This paper proposes an efficient method for the simultaneous estimation of the state of a quantum system and the classical parameters that govern its evolution. This hybrid approach benefits from efficient numerical methods for the integration of stochastic master equations for the quantum system, and efficient parameter estimation methods from classical signal processing. The classical techniques use sequential Monte Carlo (SMC) methods, which aim to optimize the selection of points within the parameter space, conditioned by the measurement data obtained. We illustrate these methods using a specific example, an SMC sampler applied to a nonlinear system, the Duffing oscillator, where the evolution of the quantum state of the oscillator and three Hamiltonian parameters are estimated simultaneously.
Item Type: | Article |
---|---|
Additional Information: | 11 pages, 5 figures, accepted for publication in Phys Rev A |
Uncontrolled Keywords: | Open quantum systems & decoherence, Quantum control, Quantum feedback, Quantum parameter estimation, Quantum sensing |
Depositing User: | Symplectic Admin |
Date Deposited: | 15 Dec 2017 10:50 |
Last Modified: | 19 Jan 2023 06:48 |
DOI: | 10.1103/PhysRevA.96.052306 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3014220 |
Available Versions of this Item
-
Multiparameter estimation along quantum trajectories with sequential Monte Carlo methods. (deposited 11 Oct 2017 15:45)
- Multiparameter estimation along quantum trajectories with sequential Monte Carlo methods. (deposited 15 Dec 2017 10:50) [Currently Displayed]