• Open Access

Calibration of Flux Crosstalk in Large-Scale Flux-Tunable Superconducting Quantum Circuits

X. Dai, D.M. Tennant, R. Trappen, A.J. Martinez, D. Melanson, M.A. Yurtalan, Y. Tang, S. Novikov, J.A. Grover, S.M. Disseler, J.I. Basham, R. Das, D.K. Kim, A.J. Melville, B.M. Niedzielski, S.J. Weber, J.L. Yoder, D.A. Lidar, and A. Lupascu
PRX Quantum 2, 040313 – Published 20 October 2021

Abstract

Magnetic flux tunability is an essential feature in most approaches to quantum computing based on superconducting qubits. Independent control of the fluxes in multiple loops is hampered by crosstalk. Calibrating flux crosstalk becomes a challenging task when the circuit elements interact strongly. We present a novel approach to flux crosstalk calibration, which is circuit model independent and relies on an iterative process to gradually improve calibration accuracy. This method allows us to reduce errors due to the inductive coupling between loops. The calibration procedure is automated and implemented on devices consisting of tunable flux qubits and couplers with up to 27 control loops. We devise a method to characterize the calibration error, which is used to show that the errors of the measured crosstalk coefficients are all below 0.17%.

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  • Received 5 June 2021
  • Revised 10 September 2021
  • Accepted 14 September 2021
  • Corrected 10 November 2021

DOI:https://doi.org/10.1103/PRXQuantum.2.040313

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Corrections

10 November 2021

Correction: The byline footnote for the seventh author was erroneously assigned to the last author during the proof production cycle and has been fixed. A corresponding reordering of footnotes has also been made.

Authors & Affiliations

X. Dai1,*, D.M. Tennant1,†, R. Trappen1, A.J. Martinez1, D. Melanson1,‡, M.A. Yurtalan1,2, Y. Tang1,§, S. Novikov3, J.A. Grover3, S.M. Disseler3, J.I. Basham3, R. Das4, D.K. Kim4, A.J. Melville4, B.M. Niedzielski4, S.J. Weber4, J.L. Yoder4, D.A. Lidar5, and A. Lupascu1,6,‖

  • 1Institute for Quantum Computing, and Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
  • 2Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
  • 3Northrop Grumman Corporation, Linthicum, Maryland 21090, USA
  • 4MIT Lincoln Laboratory, 244 Wood Street, Lexington, Massachusetts 02421, USA
  • 5Departments of Electrical & Computer Engineering, Chemistry, and Physics, and Center for Quantum Information Science & Technology, University of Southern California, Los Angeles, California 90089, USA
  • 6Waterloo Institute for Nanotechnology, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

  • *x35dai@uwaterloo.ca
  • Current address: Lawrence Livermore National Laboratory, Livermore, California, 94550, USA.
  • Current address: Department of Engineering Physics, McMaster University, 1280 Main St., Hamilton, Ontario, L8S 4L8, Canada.
  • §Current address: 1QB Information Technologies (1QBit), Vancouver, BC, V6E 4B1, Canada.
  • adrian.lapascu@uwaterloo.ca

Popular Summary

Superconducting circuits are one of the most promising platforms for building large-scale quantum computers. A key advantage of these systems is the ability to perform quantum control based on electrical signals. In particular, controlling the external fluxes in superconducting loops is a key element of functionality of these systems. Along with these benefits, flux biasing also comes with challenges to accurately calibrate the crosstalk between the bias lines. Crosstalk calibration is made difficult by the fact that a direct measurement of bias flux is hampered by magnetic fields generated by other circuit elements, which are impossible to predict without accurate models of a circuit, which themselves depend on flux crosstalk.

We address these challenges by developing a method that relies on the fundamental symmetries of superconducting circuit properties on external fluxes, which is independent of the underlying circuit model. An iterative calibration procedure is developed based on periodicity, with each iteration improving the calibration accuracy. We present a detailed description of the measurement procedure and of the data analysis tools used to automate the procedure. Our new crosstalk calibration protocol is applied to superconducting circuits based on flux qubits, with up to 27 flux-bias lines, which are among the largest in the community. Since the procedure relies only on the periodic response of superconducting circuits, it is widely applicable to other circuits with flux-bias controls.

One area in which this work is particularly relevant is the operation of quantum annealers with individual control of qubits and couplers. This control capability enables quantum annealing with custom schedules and high coherence, which has the potential to improve the performance of quantum annealing on some computational problems.

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Vol. 2, Iss. 4 — October - December 2021

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