Feedback generation of quantum Fock states by discrete QND measures

Mazyar Mirrahimi; Igor Dotsenko; Pierre Rouchon

doi:10.1109/CDC.2009.5399839

Feedback generation of quantum Fock states by discrete QND measures

Mazyar Mirrahimi
, Igor Dotsenko
, Pierre Rouchon

INRIA Rocquencourt
Laboratoire Kastler Brossel
Mines ParisTech

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

Résumé

A feedback scheme for preparation of photon number states in a microwave cavity is proposed. Quantum Non Demolition (QND) measurement of the cavity field provides information on its actual state. The control consists in injecting into the cavity mode a microwave pulse adjusted to increase the population of the desired target photon number. In the ideal case (perfect cavity and measures), we present the feedback scheme and its detailed convergence proof through stochastic Lyapunov techniques based on super-martingales and other probabilistic arguments. Quantum Monte-Carlo simulations performed with experimental parameters illustrate convergence and robustness of such feedback scheme.

langue originale	Anglais
titre	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Editeur	Institute of Electrical and Electronics Engineers Inc.
Pages	1451-1456
Nombre de pages	6
ISBN (imprimé)	9781424438716
Les DOIs	https://doi.org/10.1109/CDC.2009.5399839
état	Publié - 1 janv. 2009
Modification externe	Oui
Evénement	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, Chine Durée: 15 déc. 2009 → 18 déc. 2009

Série de publications

Nom	Proceedings of the IEEE Conference on Decision and Control
ISSN (imprimé)	0743-1546
ISSN (Electronique)	2576-2370

Une conférence

Une conférence	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pays/Territoire	Chine
La ville	Shanghai
période	15/12/09 → 18/12/09

Accès au document

10.1109/CDC.2009.5399839

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Mirrahimi, M., Dotsenko, I., & Rouchon, P. (2009). Feedback generation of quantum Fock states by discrete QND measures. Dans Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (p. 1451-1456). Article 5399839 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2009.5399839

Mirrahimi, Mazyar ; Dotsenko, Igor ; Rouchon, Pierre. / Feedback generation of quantum Fock states by discrete QND measures. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. p. 1451-1456 (Proceedings of the IEEE Conference on Decision and Control).

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title = "Feedback generation of quantum Fock states by discrete QND measures",

abstract = "A feedback scheme for preparation of photon number states in a microwave cavity is proposed. Quantum Non Demolition (QND) measurement of the cavity field provides information on its actual state. The control consists in injecting into the cavity mode a microwave pulse adjusted to increase the population of the desired target photon number. In the ideal case (perfect cavity and measures), we present the feedback scheme and its detailed convergence proof through stochastic Lyapunov techniques based on super-martingales and other probabilistic arguments. Quantum Monte-Carlo simulations performed with experimental parameters illustrate convergence and robustness of such feedback scheme.",

author = "Mazyar Mirrahimi and Igor Dotsenko and Pierre Rouchon",

year = "2009",

month = jan,

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doi = "10.1109/CDC.2009.5399839",

language = "English",

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series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1451--1456",

booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",

note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",

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Mirrahimi, M, Dotsenko, I & Rouchon, P 2009, Feedback generation of quantum Fock states by discrete QND measures. Dans Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5399839, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., p. 1451-1456, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, Chine, 15/12/09. https://doi.org/10.1109/CDC.2009.5399839

Feedback generation of quantum Fock states by discrete QND measures. / Mirrahimi, Mazyar; Dotsenko, Igor; Rouchon, Pierre.
Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. p. 1451-1456 5399839 (Proceedings of the IEEE Conference on Decision and Control).

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

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N2 - A feedback scheme for preparation of photon number states in a microwave cavity is proposed. Quantum Non Demolition (QND) measurement of the cavity field provides information on its actual state. The control consists in injecting into the cavity mode a microwave pulse adjusted to increase the population of the desired target photon number. In the ideal case (perfect cavity and measures), we present the feedback scheme and its detailed convergence proof through stochastic Lyapunov techniques based on super-martingales and other probabilistic arguments. Quantum Monte-Carlo simulations performed with experimental parameters illustrate convergence and robustness of such feedback scheme.

AB - A feedback scheme for preparation of photon number states in a microwave cavity is proposed. Quantum Non Demolition (QND) measurement of the cavity field provides information on its actual state. The control consists in injecting into the cavity mode a microwave pulse adjusted to increase the population of the desired target photon number. In the ideal case (perfect cavity and measures), we present the feedback scheme and its detailed convergence proof through stochastic Lyapunov techniques based on super-martingales and other probabilistic arguments. Quantum Monte-Carlo simulations performed with experimental parameters illustrate convergence and robustness of such feedback scheme.

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DO - 10.1109/CDC.2009.5399839

M3 - Conference contribution

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SN - 9781424438716

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BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

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Mirrahimi M, Dotsenko I, Rouchon P. Feedback generation of quantum Fock states by discrete QND measures. Dans Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc. 2009. p. 1451-1456. 5399839. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2009.5399839

Feedback generation of quantum Fock states by discrete QND measures

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