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Linear Systems and Control Theory for Quantum Information

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Linear Dynamical Quantum Systems

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Abstract

This chapter illustrates several example applications of the theory of linear quantum systems to the analysis of problems of interest in quantum information processing and discusses two experimental demonstrations of real-time coherent feedback and measurement-based feedback control from the literature. The problems covered are dissipative generation of Gaussian states of single-mode oscillators, efficient enhancement of entanglement between traveling Gaussian fields, back-action evasion, perfect state transfer in a linear quantum network, and robust quantum amplification. The two experiments are demonstrations of enhancement of optical squeezing via static coherent feedback and generation of a spin-squeezed state in an atomic ensemble via measurement-based feedback control.

Section 6.1 contains reprinted excerpt with permission from [10]. Copyright (2012) by the American Physical Society.

Section 6.2 contains some materials reprinted from [22] with permission of Springer.

Section 6.5 contains reprinted excerpt with permission from [65]. Copyright (2016) by the American Physical Society.

Section 6.6 contains some materials reprinted, with permission, from [21] \(\copyright \) 2012 IEEE.

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Notes

  1. 1.

    See [24, 25] for experiments on the entanglement produced by cascading two or more NOPAs.

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Authors and Affiliations

  1. School of Electrical Engineering and Telecommunications, UNSW Australia, Sydney, NSW, Australia

    Hendra I. Nurdin

  2. Department of Applied Physics and Physico-Informatics, Keio University, Yokohama, Japan

    Naoki Yamamoto

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  1. Hendra I. Nurdin
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Nurdin, H.I., Yamamoto, N. (2017). Linear Systems and Control Theory for Quantum Information. In: Linear Dynamical Quantum Systems. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-55201-9_6

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