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Energy-participation quantization of Josephson circuits

Minev, Zlatko K.; Leghtas, Zaki; Mundhada, Shantanu O.; Christakis, Lysander; Pop, Ioan M. 1; Devoret, Michel H.
1 Institut für QuantenMaterialien und Technologien (IQMT), Karlsruher Institut für Technologie (KIT)


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.

Verlagsausgabe §
DOI: 10.5445/IR/1000137531
Veröffentlicht am 17.09.2021
DOI: 10.1038/s41534-021-00461-8
Zitationen: 39
Web of Science
Zitationen: 32
Zitationen: 52
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für QuantenMaterialien und Technologien (IQMT)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 12.2021
Sprache Englisch
Identifikator ISSN: 2056-6387
KITopen-ID: 1000137531
HGF-Programm 47.12.01 (POF IV, LK 01) Advanced Solid-State Qubits and Qubit Systems
Erschienen in npj Quantum information
Verlag Nature Research
Band 7
Heft 1
Seiten Art.-Nr.: 131
Vorab online veröffentlicht am 25.08.2021
Nachgewiesen in Web of Science
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