Multiparameter estimation along quantum trajectories with sequential Monte Carlo methods



Ralph, Jason F ORCID: 0000-0002-4946-9948, Maskell, Simon and Kacobs, K
(2017) Multiparameter estimation along quantum trajectories with sequential Monte Carlo methods. Physical Review A (Atomic, Molecular and Optical Physics), 96.

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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
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: 05 Aug 2021 22:13
DOI: 10.1103/PhysRevA.96.052306
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3014220

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