Controls of a superconducting quantum parametron under a strong pump field

Abstract Pumped at approximately twice the natural frequency, a Josephson parametric oscillator called parametron or Kerr parametric oscillator shows self-oscillation. Quantum annealing and universal quantum computation using self-oscillating parametrons as qubits were proposed. However, controls of...

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Autores principales:	Shumpei Masuda, Toyofumi Ishikawa, Yuichiro Matsuzaki, Shiro Kawabata
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/6cc86d01fe8f447c90bf37e91e0cfadc
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spelling	oai:doaj.org-article:6cc86d01fe8f447c90bf37e91e0cfadc2021-12-02T18:25:03ZControls of a superconducting quantum parametron under a strong pump field10.1038/s41598-021-90874-42045-2322https://doaj.org/article/6cc86d01fe8f447c90bf37e91e0cfadc2021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-90874-4https://doaj.org/toc/2045-2322Abstract Pumped at approximately twice the natural frequency, a Josephson parametric oscillator called parametron or Kerr parametric oscillator shows self-oscillation. Quantum annealing and universal quantum computation using self-oscillating parametrons as qubits were proposed. However, controls of parametrons under the pump field are degraded by unwanted rapidly oscillating terms in the Hamiltonian, which we call non-resonant rapidly oscillating terms (NROTs) coming from the violation of the rotating wave approximation. Therefore, the pump field can be an intrinsic origin of the imperfection of controls of parametrons. Here, we theoretically study the influence of the NROTs on the accuracy of controls of a parametron: a cat-state creation and a single-qubit gate. It is shown that there is a trade-off relationship between the suppression of the nonadiabatic transitions and the validity of the rotating wave approximation in a conventional approach. We also show that the tailored time dependence of the detuning of the pump field can suppress both of the nonadiabatic transitions and the disturbance of the state of the parametron due to the NROTs.Shumpei MasudaToyofumi IshikawaYuichiro MatsuzakiShiro KawabataNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Shumpei Masuda Toyofumi Ishikawa Yuichiro Matsuzaki Shiro Kawabata Controls of a superconducting quantum parametron under a strong pump field
description	Abstract Pumped at approximately twice the natural frequency, a Josephson parametric oscillator called parametron or Kerr parametric oscillator shows self-oscillation. Quantum annealing and universal quantum computation using self-oscillating parametrons as qubits were proposed. However, controls of parametrons under the pump field are degraded by unwanted rapidly oscillating terms in the Hamiltonian, which we call non-resonant rapidly oscillating terms (NROTs) coming from the violation of the rotating wave approximation. Therefore, the pump field can be an intrinsic origin of the imperfection of controls of parametrons. Here, we theoretically study the influence of the NROTs on the accuracy of controls of a parametron: a cat-state creation and a single-qubit gate. It is shown that there is a trade-off relationship between the suppression of the nonadiabatic transitions and the validity of the rotating wave approximation in a conventional approach. We also show that the tailored time dependence of the detuning of the pump field can suppress both of the nonadiabatic transitions and the disturbance of the state of the parametron due to the NROTs.
format	article
author	Shumpei Masuda Toyofumi Ishikawa Yuichiro Matsuzaki Shiro Kawabata
author_facet	Shumpei Masuda Toyofumi Ishikawa Yuichiro Matsuzaki Shiro Kawabata
author_sort	Shumpei Masuda
title	Controls of a superconducting quantum parametron under a strong pump field
title_short	Controls of a superconducting quantum parametron under a strong pump field
title_full	Controls of a superconducting quantum parametron under a strong pump field
title_fullStr	Controls of a superconducting quantum parametron under a strong pump field
title_full_unstemmed	Controls of a superconducting quantum parametron under a strong pump field
title_sort	controls of a superconducting quantum parametron under a strong pump field
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/6cc86d01fe8f447c90bf37e91e0cfadc
work_keys_str_mv	AT shumpeimasuda controlsofasuperconductingquantumparametronunderastrongpumpfield AT toyofumiishikawa controlsofasuperconductingquantumparametronunderastrongpumpfield AT yuichiromatsuzaki controlsofasuperconductingquantumparametronunderastrongpumpfield AT shirokawabata controlsofasuperconductingquantumparametronunderastrongpumpfield
_version_	1718378044182233088

Controls of a superconducting quantum parametron under a strong pump field

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