Hybrid filtering for a class of nonlinear quantum systems subject to classical stochastic disturbances

Abstract

A hybrid quantum-classical filtering problem, where a qubit system is disturbed by a classical stochastic process, is investigated. The strategy is to model the classical disturbance by using an optical cavity. Relations between classical disturbances and the cavity analog system are analyzed. The dynamics of the enlarged quantum network system, which includes a qubit system and a cavity system, are derived. A stochastic master equation for the qubit-cavity hybrid system is given, based on which estimates for the state of the cavity system and the classical signal are obtained. The quantum extended Kalman filter is employed to achieve efficient computation. Numerical results are presented to illustrate the effectiveness of our methods.

arXiv comment12 pages,8 figures, to be published on IEEE Transactions on Cybernetics

References in corpus (18)

• Quantum sensing
• Real-time quantum feedback prepares and stabilizes photon number states
• Adaptive homodyne measurement of optical phase
• Maximum Likelihood, Minimum Effort
• Coherent control of a nanomechanical two-level system
• Quantum State Tomography via Linear Regression Estimation
• Time-Symmetric Quantum Theory of Smoothing
• Robust quantum parameter estimation: coherent magnetometry with feedback
• Royal Road to Coupling Classical and Quantum Dynamics
• State and dynamical parameter estimation for open quantum systems
• Learning-based Quantum Robust Control: Algorithm, Applications and Experiments
• Full reconstruction of a 14-qubit state within four hours
• Identifying Strong-Field Effects in Indirect Photofragmentation Reactions
• Fault Tolerant Quantum Filtering and Fault Detection for Quantum Systems
• Frequency Tracking and Parameter Estimation for Robust Quantum State-Estimation
• Sensitivity optimization in quantum parameter estimation
• Quantum gate identification: error analysis, numerical results and optical experiment
• A Quantum Extended Kalman Filter