A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers

Ian R. Petersen; Matthew R. James; Valery Ugrinovskii; Naoki Yamamoto

doi:10.1109/CDC42340.2020.9304063

A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers

Ian R. Petersen, Matthew R. James, Valery Ugrinovskii, Naoki Yamamoto

Department of Applied Physics and Physico-Informatics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

We present a systems theory approach to finding the minimum required level of added quantum noise in a nonreciprocal phase-insensitive quantum amplifier. We also present a synthesis procedure for constructing a quantum optical nonreciprocal phase-insensitive quantum amplifier which adds the minimum level of quantum noise and achieves a required gain and bandwidth. This synthesis procedure is based on a singularly perturbed quantum system involving the broadband approximation of a Bogoliubov transformation and leads to an amplifier involving three squeezers and six beamsplitters.

Original language	English
Title of host publication	2020 59th IEEE Conference on Decision and Control, CDC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3836-3841
Number of pages	6
ISBN (Electronic)	9781728174471
DOIs	https://doi.org/10.1109/CDC42340.2020.9304063
Publication status	Published - 2020 Dec 14
Event	59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republic of Duration: 2020 Dec 14 → 2020 Dec 18

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2020-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	59th IEEE Conference on Decision and Control, CDC 2020
Country/Territory	Korea, Republic of
City	Virtual, Jeju Island
Period	20/12/14 → 20/12/18

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC42340.2020.9304063

Cite this

Petersen, I. R., James, M. R., Ugrinovskii, V., & Yamamoto, N. (2020). A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers. In 2020 59th IEEE Conference on Decision and Control, CDC 2020 (pp. 3836-3841). [9304063] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC42340.2020.9304063

A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers. / Petersen, Ian R.; James, Matthew R.; Ugrinovskii, Valery et al.
2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 3836-3841 9304063 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Petersen, IR, James, MR, Ugrinovskii, V & Yamamoto, N 2020, A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers. in 2020 59th IEEE Conference on Decision and Control, CDC 2020., 9304063, Proceedings of the IEEE Conference on Decision and Control, vol. 2020-December, Institute of Electrical and Electronics Engineers Inc., pp. 3836-3841, 59th IEEE Conference on Decision and Control, CDC 2020, Virtual, Jeju Island, Korea, Republic of, 20/12/14. https://doi.org/10.1109/CDC42340.2020.9304063

Petersen IR, James MR, Ugrinovskii V, Yamamoto N. A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers. In 2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 3836-3841. 9304063. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC42340.2020.9304063

Petersen, Ian R. ; James, Matthew R. ; Ugrinovskii, Valery et al. / A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers. 2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 3836-3841 (Proceedings of the IEEE Conference on Decision and Control).

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abstract = "We present a systems theory approach to finding the minimum required level of added quantum noise in a nonreciprocal phase-insensitive quantum amplifier. We also present a synthesis procedure for constructing a quantum optical nonreciprocal phase-insensitive quantum amplifier which adds the minimum level of quantum noise and achieves a required gain and bandwidth. This synthesis procedure is based on a singularly perturbed quantum system involving the broadband approximation of a Bogoliubov transformation and leads to an amplifier involving three squeezers and six beamsplitters.",

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N2 - We present a systems theory approach to finding the minimum required level of added quantum noise in a nonreciprocal phase-insensitive quantum amplifier. We also present a synthesis procedure for constructing a quantum optical nonreciprocal phase-insensitive quantum amplifier which adds the minimum level of quantum noise and achieves a required gain and bandwidth. This synthesis procedure is based on a singularly perturbed quantum system involving the broadband approximation of a Bogoliubov transformation and leads to an amplifier involving three squeezers and six beamsplitters.

AB - We present a systems theory approach to finding the minimum required level of added quantum noise in a nonreciprocal phase-insensitive quantum amplifier. We also present a synthesis procedure for constructing a quantum optical nonreciprocal phase-insensitive quantum amplifier which adds the minimum level of quantum noise and achieves a required gain and bandwidth. This synthesis procedure is based on a singularly perturbed quantum system involving the broadband approximation of a Bogoliubov transformation and leads to an amplifier involving three squeezers and six beamsplitters.

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A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers

Abstract

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