English

Quantum control theory and applications: A survey

Quantum Physics 2011-01-12 v3 Systems and Control Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0910.2350,
  title  = {Quantum control theory and applications: A survey},
  author = {Daoyi Dong and Ian R Petersen},
  journal= {arXiv preprint arXiv:0910.2350},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T13:57:39.864Z