The Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection

Abstract Dynamical properties of a resonator can be analyzed using the Rayleigh–Lorentz invariant which is not an exact constant but varies more or less over time depending on variations of parameters. We investigate the time behavior of this invariant for a superconducting nano-resonator in order f...

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Main Author:	Jeong Ryeol Choi
Format:	article
Language:	EN
Published:	Nature Portfolio 2021
Subjects:	Medicine R Science Q
Online Access:	https://doaj.org/article/488164e07d0c46fba59b6fe3c53d6c34
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spelling	oai:doaj.org-article:488164e07d0c46fba59b6fe3c53d6c342021-12-02T18:18:51ZThe Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection10.1038/s41598-021-92555-82045-2322https://doaj.org/article/488164e07d0c46fba59b6fe3c53d6c342021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-92555-8https://doaj.org/toc/2045-2322Abstract Dynamical properties of a resonator can be analyzed using the Rayleigh–Lorentz invariant which is not an exact constant but varies more or less over time depending on variations of parameters. We investigate the time behavior of this invariant for a superconducting nano-resonator in order for better understanding of qubit-information detection with the resonator. Superconducting resonators which uses parametric resonance in a Josephson junction circuit can be utilized in implementing diverse next generation nano-optic and nano-electronic devices such as quantum computing systems. Through the analyses of the temporal evolution of the invariant, we derive a condition for optimal adiabatic qubit-information detection with the resonator. This condition is helpful for controlling the dynamics of the resonators over long periods of time. It is necessary to consider it when designing a nano-resonator used for quantum nondemolition readouts of qubit states, crucial in quantum computation.Jeong Ryeol ChoiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Jeong Ryeol Choi The Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection
description	Abstract Dynamical properties of a resonator can be analyzed using the Rayleigh–Lorentz invariant which is not an exact constant but varies more or less over time depending on variations of parameters. We investigate the time behavior of this invariant for a superconducting nano-resonator in order for better understanding of qubit-information detection with the resonator. Superconducting resonators which uses parametric resonance in a Josephson junction circuit can be utilized in implementing diverse next generation nano-optic and nano-electronic devices such as quantum computing systems. Through the analyses of the temporal evolution of the invariant, we derive a condition for optimal adiabatic qubit-information detection with the resonator. This condition is helpful for controlling the dynamics of the resonators over long periods of time. It is necessary to consider it when designing a nano-resonator used for quantum nondemolition readouts of qubit states, crucial in quantum computation.
format	article
author	Jeong Ryeol Choi
author_facet	Jeong Ryeol Choi
author_sort	Jeong Ryeol Choi
title	The Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection
title_short	The Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection
title_full	The Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection
title_fullStr	The Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection
title_full_unstemmed	The Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection
title_sort	rayleigh–lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/488164e07d0c46fba59b6fe3c53d6c34
work_keys_str_mv	AT jeongryeolchoi therayleighlorentzinvariantforsuperconductingresonatorsandoptimaladiabaticqubitinformationdetection AT jeongryeolchoi rayleighlorentzinvariantforsuperconductingresonatorsandoptimaladiabaticqubitinformationdetection
_version_	1718378153151299584

The Rayleigh–Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection

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