Quantum control theory and applications: A survey

Abstract

This paper presents a survey on quantum control theory and applications from a control systems perspective. Some of the basic concepts and main developments (including open-loop control and closed-loop control) in quantum control theory are reviewed. In the area of open-loop quantum control, the paper surveys the notion of controllability for quantum systems and presents several control design strategies including optimal control, Lyapunov-based methodologies, variable structure control and quantum incoherent control. In the area of closed-loop quantum control, the paper reviews closed-loop learning control and several important issues related to quantum feedback control including quantum filtering, feedback stabilization, LQG control and robust quantum control.

38 pages, invited survey paper from a control systems perspective, some references are added, published version

References in corpus (35)

• A Straightforward Introduction to Continuous Quantum Measurement
• Quantum reinforcement learning
• Feedback control of quantum state reduction
• Coherent quantum LQG control
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• Optimal feedback control of two-qubit entanglement in dissipative environments
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• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
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• Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model
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• Minimal Time Generation of Density Matrices for a Two-Level Quantum System Driven by Coherent and Incoherent Controls
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• Approximate Dynamics Lead to More Optimal Control: Efficient Exact Derivatives
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• Near-optimal control of dynamical systems with neural ordinary differential equations
• Fault-Tolerant Control of Linear Quantum Stochastic Systems
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• Action-Noise-Assisted Quantum Control
• Approximation of Reachable Set for Coherently Controlled Open Quantum Systems: Application to Quantum State Engineering
• Noncompletely Positive Quantum Maps Enable Efficient Local Energy Extraction in Batteries
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