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Modelling and feedback control design for quantum state preparation

REVIEW ARTICLE

Ramon van Handel, John K Stockton and Hideo Mabuchi

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REVIEW ARTICLE

The goal of this article is to provide a largely self-contained introduction to the modelling of controlled quantum systems under continuous observation, and to the design of feedback controls that prepare particular quantum states. We describe a bottom-up approach, where a field-theoretic model is subjected to statistical inference and is ultimately controlled. As an example, the formalism is applied to a highly idealized interaction of an atomic ensemble with an optical field. Our aim is to provide a unified outline for the modelling, from first principles, of realistic experiments in quantum control.


PACS

42.50.Dv Quantum state engineering and measurements

42.50.Pq Cavity quantum electrodynamics; micromasers

03.65.Ca Formalism

37.10.Vz Mechanical effects of light on atoms, molecules, and ions

42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps

03.65.Yz Decoherence; open systems; quantum statistical methods

Subjects

Atomic and molecular physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 10 (October 2005)

Received 29 April 2005, accepted for publication 15 July 2005

Published 14 September 2005



  1. Modelling and feedback control design for quantum state preparation

    Ramon van Handel et al 2005 J. Opt. B: Quantum Semiclass. Opt. 7 S179

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