Quantum control theory and applications: A survey

By Daoyi Dong, Ian R. Petersen. IET Control Theory & Applications, 2009

594 citations recorded by the source corpus.

This study 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, this study reviews closed-loop learning control and several important issues related to quantum feedback control including quantum filtering, feedback stabilisation, linear-quadratic-Gaussian control and robust quantum control.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/ee20133530650b29d57d7de4d918b1d82a5a0987

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Control Principles of Complex Networks (2015, background): “Despite recent progress, quantum control theory is still in its infancy (Dong and Petersen, 2010), for several reasons.”
LQG/H∞ control of linear quantum stochastic systems (2015, background): “A couple of papers have presented detailed review on H∞ and LQG control of linear stochastic quantum systems, see [11], [12].”
Controllability of dynamical systems. A survey (2013, methodology): “Control system description of a quantum closed system is described by bilinear ordinary differential state equation in the form of Schrödinger equation for state vectors and Liouville [34, 35] equation for density matrices.”
Training Schrödinger’s cat: quantum optimal control (2015, background): “2, closed-loop strategies [106] are capable of coping with unpredictable disturbances.”