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Removing leakage-induced correlated errors in superconducting quantum error correction

Author

Listed:
  • M. McEwen

    (University of California
    Google)

  • D. Kafri

    (Google)

  • Z. Chen

    (Google)

  • J. Atalaya

    (Google)

  • K. J. Satzinger

    (Google)

  • C. Quintana

    (Google)

  • P. V. Klimov

    (Google)

  • D. Sank

    (Google)

  • C. Gidney

    (Google)

  • A. G. Fowler

    (Google)

  • F. Arute

    (Google)

  • K. Arya

    (Google)

  • B. Buckley

    (Google)

  • B. Burkett

    (Google)

  • N. Bushnell

    (Google)

  • B. Chiaro

    (Google)

  • R. Collins

    (Google)

  • S. Demura

    (Google)

  • A. Dunsworth

    (Google)

  • C. Erickson

    (Google)

  • B. Foxen

    (Google)

  • M. Giustina

    (Google)

  • T. Huang

    (Google)

  • S. Hong

    (Google)

  • E. Jeffrey

    (Google)

  • S. Kim

    (Google)

  • K. Kechedzhi

    (Google)

  • F. Kostritsa

    (Google)

  • P. Laptev

    (Google)

  • A. Megrant

    (Google)

  • X. Mi

    (Google)

  • J. Mutus

    (Google)

  • O. Naaman

    (Google)

  • M. Neeley

    (Google)

  • C. Neill

    (Google)

  • M. Niu

    (Google)

  • A. Paler

    (Johannes Kepler University
    University of Texas at Dallas)

  • N. Redd

    (Google)

  • P. Roushan

    (Google)

  • T. C. White

    (Google)

  • J. Yao

    (Google)

  • P. Yeh

    (Google)

  • A. Zalcman

    (Google)

  • Yu Chen

    (Google)

  • V. N. Smelyanskiy

    (Google)

  • John M. Martinis

    (University of California)

  • H. Neven

    (Google)

  • J. Kelly

    (Google)

  • A. N. Korotkov

    (Google
    University of California)

  • A. G. Petukhov

    (Google)

  • R. Barends

    (Google)

Abstract

Quantum computing can become scalable through error correction, but logical error rates only decrease with system size when physical errors are sufficiently uncorrelated. During computation, unused high energy levels of the qubits can become excited, creating leakage states that are long-lived and mobile. Particularly for superconducting transmon qubits, this leakage opens a path to errors that are correlated in space and time. Here, we report a reset protocol that returns a qubit to the ground state from all relevant higher level states. We test its performance with the bit-flip stabilizer code, a simplified version of the surface code for quantum error correction. We investigate the accumulation and dynamics of leakage during error correction. Using this protocol, we find lower rates of logical errors and an improved scaling and stability of error suppression with increasing qubit number. This demonstration provides a key step on the path towards scalable quantum computing.

Suggested Citation

  • M. McEwen & D. Kafri & Z. Chen & J. Atalaya & K. J. Satzinger & C. Quintana & P. V. Klimov & D. Sank & C. Gidney & A. G. Fowler & F. Arute & K. Arya & B. Buckley & B. Burkett & N. Bushnell & B. Chiaro, 2021. "Removing leakage-induced correlated errors in superconducting quantum error correction," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-21982-y
    DOI: 10.1038/s41467-021-21982-y
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    Cited by:

    1. Yu Zhou & Zhenxing Zhang & Zelong Yin & Sainan Huai & Xiu Gu & Xiong Xu & Jonathan Allcock & Fuming Liu & Guanglei Xi & Qiaonian Yu & Hualiang Zhang & Mengyu Zhang & Hekang Li & Xiaohui Song & Zhan Wa, 2021. "Rapid and unconditional parametric reset protocol for tunable superconducting qubits," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    2. Neereja Sundaresan & Theodore J. Yoder & Youngseok Kim & Muyuan Li & Edward H. Chen & Grace Harper & Ted Thorbeck & Andrew W. Cross & Antonio D. Córcoles & Maika Takita, 2023. "Demonstrating multi-round subsystem quantum error correction using matching and maximum likelihood decoders," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    3. M. Lucas & A. V. Danilov & L. V. Levitin & A. Jayaraman & A. J. Casey & L. Faoro & A. Ya. Tzalenchuk & S. E. Kubatkin & J. Saunders & S. E. de Graaf, 2023. "Quantum bath suppression in a superconducting circuit by immersion cooling," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

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