Structural Instability of Driven Josephson Circuits Prevented by an Inductive Shunt

Lucas Verney, Raphaël Lescanne, Michel H. Devoret, Zaki Leghtas, and Mazyar Mirrahimi
Phys. Rev. Applied 11, 024003 – Published 1 February 2019

Abstract

Superconducting circuits are a versatile platform to implement a multitude of Hamiltonians that perform quantum computation, simulation, and sensing tasks. A key ingredient for realizing a desired Hamiltonian is the irradiation of the circuit by a strong drive. These strong drives provide an in situ control of couplings, which cannot be obtained by near-equilibrium Hamiltonians. However, as shown in this paper, out-of-equilibrium systems are easily plagued by complex dynamics, leading to instabilities. The prediction and prevention of these instabilities is crucial, both from a fundamental and application perspective. We propose an inductively shunted transmon as the elementary circuit optimized for strong parametric drives. Developing a numerical approach that avoids the built-in limitations of perturbative analysis, we demonstrate that adding the inductive shunt significantly extends the range of pump powers over which the circuit behaves in a stable manner.

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  • Received 25 May 2018
  • Revised 12 December 2018

DOI:https://doi.org/10.1103/PhysRevApplied.11.024003

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Lucas Verney1,2, Raphaël Lescanne1,2, Michel H. Devoret3, Zaki Leghtas1,2,4, and Mazyar Mirrahimi1,5,*

  • 1QUANTIC team, INRIA de Paris, 2 Rue Simone Iff, 75012 Paris, France
  • 2Laboratoire Pierre Aigrain, Ecole Normale Supérieure, PSL Research University, CNRS, Université Pierre et Marie Curie, Sorbonne Universités, Université Paris Diderot, Sorbonne Paris-Cité, 24 rue Lhomond, 75231 Paris Cedex 05, France
  • 3Department of Applied Physics, Yale University, 15 Prospect Street, New Haven, Connecticut 06511, USA
  • 4Centre Automatique et Systèmes, Mines-ParisTech, PSL Research University, 60, bd Saint-Michel, 75006 Paris, France
  • 5Yale Quantum Institute, Yale University, New Haven, Connecticut 06520, USA

  • *mazyar.mirrahimi@inria.fr

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Vol. 11, Iss. 2 — February 2019

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