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Control of Quantum Systems

Encyclopedia of Systems and Control

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Abstract

Quantum control theory is concerned with the control of systems whose dynamics are governed by the laws of quantum mechanics. Quantum control may take the form of open loop quantum control or quantum feedback control. Also, quantum feedback control may consist of measurement based feedback control, in which the controller is a classical system governed by the laws of classical physics. Alternatively, quantum feedback control may take the form of coherent feedback control in which the controller is a quantum system governed by the laws of quantum mechanics. In the area of open loop quantum control, questions of controllability along with optimal control and Lyapunov control methods are discussed. In the case of quantum feedback control, LQG and H ∞ control methods are discussed.

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Notes

  1. 1.

    This work was supported by the Australian Research Council (ARC).

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Author information

Authors and Affiliations

  1. School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, ACT, Australia

    Ian Petersen

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  1. Ian Petersen
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Correspondence to Ian Petersen .

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Editors and Affiliations

  1. Electrical and Computer Engineering, Boston University, Boston, Massachusetts, USA

    John Baillieul

  2. Automation and Control Solutions, Honeywell, Golden Valley, Minnesota, USA

    Tariq Samad

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© 2014 Springer-Verlag London

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Petersen, I. (2014). Control of Quantum Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_147-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_147-1

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  • Online ISBN: 978-1-4471-5102-9

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Chapter history

  1. Latest

    Control of Quantum Systems
    Published:
    31 December 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_147-2

  2. Original

    Control of Quantum Systems
    Published:
    10 October 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_147-1

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