Energy-participation quantization of Josephson circuits

Abstract Superconducting microwave circuits incorporating nonlinear devices, such as Josephson junctions, are a leading platform for emerging quantum technologies. Increasing circuit complexity further requires efficient methods for the calculation and optimization of the spectrum, nonlinear interac...

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Autores principales:	Zlatko K. Minev, Zaki Leghtas, Shantanu O. Mundhada, Lysander Christakis, Ioan M. Pop, Michel H. Devoret
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/7b2d97b2b478467f95c4b18d78333946
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spelling	oai:doaj.org-article:7b2d97b2b478467f95c4b18d783339462021-12-02T16:35:05ZEnergy-participation quantization of Josephson circuits10.1038/s41534-021-00461-82056-6387https://doaj.org/article/7b2d97b2b478467f95c4b18d783339462021-08-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00461-8https://doaj.org/toc/2056-6387Abstract Superconducting microwave circuits incorporating nonlinear devices, such as Josephson junctions, are a leading platform for emerging quantum technologies. Increasing circuit complexity further requires efficient methods for the calculation and optimization of the spectrum, nonlinear interactions, and dissipation in multi-mode distributed quantum circuits. Here we present a method based on the energy-participation ratio (EPR) of a dissipative or nonlinear element in an electromagnetic mode. The EPR, a number between zero and one, quantifies how much of the mode energy is stored in each element. The EPRs obey universal constraints and are calculated from one electromagnetic-eigenmode simulation. They lead directly to the system quantum Hamiltonian and dissipative parameters. The method provides an intuitive and simple-to-use tool to quantize multi-junction circuits. We experimentally tested this method on a variety of Josephson circuits and demonstrated agreement within several percents for nonlinear couplings and modal Hamiltonian parameters, spanning five orders of magnitude in energy, across a dozen samples.Zlatko K. MinevZaki LeghtasShantanu O. MundhadaLysander ChristakisIoan M. PopMichel H. DevoretNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Zlatko K. Minev Zaki Leghtas Shantanu O. Mundhada Lysander Christakis Ioan M. Pop Michel H. Devoret Energy-participation quantization of Josephson circuits
description	Abstract Superconducting microwave circuits incorporating nonlinear devices, such as Josephson junctions, are a leading platform for emerging quantum technologies. Increasing circuit complexity further requires efficient methods for the calculation and optimization of the spectrum, nonlinear interactions, and dissipation in multi-mode distributed quantum circuits. Here we present a method based on the energy-participation ratio (EPR) of a dissipative or nonlinear element in an electromagnetic mode. The EPR, a number between zero and one, quantifies how much of the mode energy is stored in each element. The EPRs obey universal constraints and are calculated from one electromagnetic-eigenmode simulation. They lead directly to the system quantum Hamiltonian and dissipative parameters. The method provides an intuitive and simple-to-use tool to quantize multi-junction circuits. We experimentally tested this method on a variety of Josephson circuits and demonstrated agreement within several percents for nonlinear couplings and modal Hamiltonian parameters, spanning five orders of magnitude in energy, across a dozen samples.
format	article
author	Zlatko K. Minev Zaki Leghtas Shantanu O. Mundhada Lysander Christakis Ioan M. Pop Michel H. Devoret
author_facet	Zlatko K. Minev Zaki Leghtas Shantanu O. Mundhada Lysander Christakis Ioan M. Pop Michel H. Devoret
author_sort	Zlatko K. Minev
title	Energy-participation quantization of Josephson circuits
title_short	Energy-participation quantization of Josephson circuits
title_full	Energy-participation quantization of Josephson circuits
title_fullStr	Energy-participation quantization of Josephson circuits
title_full_unstemmed	Energy-participation quantization of Josephson circuits
title_sort	energy-participation quantization of josephson circuits
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/7b2d97b2b478467f95c4b18d78333946
work_keys_str_mv	AT zlatkokminev energyparticipationquantizationofjosephsoncircuits AT zakileghtas energyparticipationquantizationofjosephsoncircuits AT shantanuomundhada energyparticipationquantizationofjosephsoncircuits AT lysanderchristakis energyparticipationquantizationofjosephsoncircuits AT ioanmpop energyparticipationquantizationofjosephsoncircuits AT michelhdevoret energyparticipationquantizationofjosephsoncircuits
_version_	1718383763558236160

Energy-participation quantization of Josephson circuits

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