Nonlinear Optimal Feedback Control of the Two-Level Open Non-Markovian Stochastic Quantum System

DOI10.1142/S123016122150013XzbMath1498.81060MaRDI QIDQ5084426

Shahid Qamar, Kezhi Li, Zhixiang Dong, Feng Shuang, Shuang Cong

Publication date: 24 June 2022

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

zbMATH Keywords

stochastic systemstate feedback controlnon-Markovian quantum systemnonlinear state estimator

Mathematics Subject Classification ID

Non-Markovian processes: estimation (62M09) Feedback control (93B52) Nonlinear higher-order PDEs (35G20) Stochastic systems in control theory (general) (93E03) Quantum state estimation, approximate cloning (81P50) Quantum control (81Q93)

Cites Work

• Unnamed Item
• Unnamed Item
• Coherent quantum LQG control
• Observer-based feedback control of two-level open stochastic quantum system
• Closed-form solution to finite-horizon suboptimal control of nonlinear systems
• An Introduction to Quantum Filtering
• A new numerical solution of<tex>Ẋ = A_{1}X + XA_{2} + D, X(0) = C</tex>
• Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach
• Characteristics Analysis and State Transfer for Non-Markovian Open Quantum Systems
• Optimal filtering for polynomial system states with polynomial multiplicative noise
• Further Results on Stabilizing Control of Quantum Systems
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.

This page was built for publication: Nonlinear Optimal Feedback Control of the Two-Level Open Non-Markovian Stochastic Quantum System