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Realizing repeated quantum error correction in a distance-three surface code

Author

Listed:
  • Sebastian Krinner

    (ETH Zurich)

  • Nathan Lacroix

    (ETH Zurich)

  • Ants Remm

    (ETH Zurich)

  • Agustin Paolo

    (Université de Sherbrooke
    Université de Sherbrooke)

  • Elie Genois

    (Université de Sherbrooke
    Université de Sherbrooke)

  • Catherine Leroux

    (Université de Sherbrooke
    Université de Sherbrooke)

  • Christoph Hellings

    (ETH Zurich)

  • Stefania Lazar

    (ETH Zurich)

  • Francois Swiadek

    (ETH Zurich)

  • Johannes Herrmann

    (ETH Zurich)

  • Graham J. Norris

    (ETH Zurich)

  • Christian Kraglund Andersen

    (ETH Zurich
    Delft University of Technology)

  • Markus Müller

    (RWTH Aachen University
    Forschungszentrum Jülich)

  • Alexandre Blais

    (Université de Sherbrooke
    Université de Sherbrooke
    Canadian Institute for Advanced Research)

  • Christopher Eichler

    (ETH Zurich)

  • Andreas Wallraff

    (ETH Zurich
    ETH Zurich)

Abstract

Quantum computers hold the promise of solving computational problems that are intractable using conventional methods1. For fault-tolerant operation, quantum computers must correct errors occurring owing to unavoidable decoherence and limited control accuracy2. Here we demonstrate quantum error correction using the surface code, which is known for its exceptionally high tolerance to errors3–6. Using 17 physical qubits in a superconducting circuit, we encode quantum information in a distance-three logical qubit, building on recent distance-two error-detection experiments7–9. In an error-correction cycle taking only 1.1 μs, we demonstrate the preservation of four cardinal states of the logical qubit. Repeatedly executing the cycle, we measure and decode both bit-flip and phase-flip error syndromes using a minimum-weight perfect-matching algorithm in an error-model-free approach and apply corrections in post-processing. We find a low logical error probability of 3% per cycle when rejecting experimental runs in which leakage is detected. The measured characteristics of our device agree well with a numerical model. Our demonstration of repeated, fast and high-performance quantum error-correction cycles, together with recent advances in ion traps10, support our understanding that fault-tolerant quantum computation will be practically realizable.

Suggested Citation

  • Sebastian Krinner & Nathan Lacroix & Ants Remm & Agustin Paolo & Elie Genois & Catherine Leroux & Christoph Hellings & Stefania Lazar & Francois Swiadek & Johannes Herrmann & Graham J. Norris & Christ, 2022. "Realizing repeated quantum error correction in a distance-three surface code," Nature, Nature, vol. 605(7911), pages 669-674, May.
  • Handle: RePEc:nat:nature:v:605:y:2022:i:7911:d:10.1038_s41586-022-04566-8
    DOI: 10.1038/s41586-022-04566-8
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    Citations

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    Cited by:

    1. Cristóbal Lledó & Rémy Dassonneville & Adrien Moulinas & Joachim Cohen & Ross Shillito & Audrey Bienfait & Benjamin Huard & Alexandre Blais, 2023. "Cloaking a qubit in a cavity," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    2. Suhas Ganjam & Yanhao Wang & Yao Lu & Archan Banerjee & Chan U Lei & Lev Krayzman & Kim Kisslinger & Chenyu Zhou & Ruoshui Li & Yichen Jia & Mingzhao Liu & Luigi Frunzio & Robert J. Schoelkopf, 2024. "Surpassing millisecond coherence in on chip superconducting quantum memories by optimizing materials and circuit design," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    3. Dennis Willsch & Madita Willsch & Fengping Jin & Hans De Raedt & Kristel Michielsen, 2023. "Large-Scale Simulation of Shor’s Quantum Factoring Algorithm," Mathematics, MDPI, vol. 11(19), pages 1-38, October.
    4. Ziqian Li & Tanay Roy & David Rodríguez Pérez & Kan-Heng Lee & Eliot Kapit & David I. Schuster, 2024. "Autonomous error correction of a single logical qubit using two transmons," Nature Communications, Nature, vol. 15(1), pages 1-6, December.
    5. Dominic J. Williamson & Nouédyn Baspin, 2024. "Layer codes," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    6. 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.
    7. Noah Goss & Alexis Morvan & Brian Marinelli & Bradley K. Mitchell & Long B. Nguyen & Ravi K. Naik & Larry Chen & Christian Jünger & John Mark Kreikebaum & David I. Santiago & Joel J. Wallman & Irfan S, 2022. "High-fidelity qutrit entangling gates for superconducting circuits," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    8. Axel M. Eriksson & Théo Sépulcre & Mikael Kervinen & Timo Hillmann & Marina Kudra & Simon Dupouy & Yong Lu & Maryam Khanahmadi & Jiaying Yang & Claudia Castillo-Moreno & Per Delsing & Simone Gasparine, 2024. "Universal control of a bosonic mode via drive-activated native cubic interactions," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    9. Paul V. Klimov & Andreas Bengtsson & Chris Quintana & Alexandre Bourassa & Sabrina Hong & Andrew Dunsworth & Kevin J. Satzinger & William P. Livingston & Volodymyr Sivak & Murphy Yuezhen Niu & Trond I, 2024. "Optimizing quantum gates towards the scale of logical qubits," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    10. Shingo Kono & Jiahe Pan & Mahdi Chegnizadeh & Xuxin Wang & Amir Youssefi & Marco Scigliuzzo & Tobias J. Kippenberg, 2024. "Mechanically induced correlated errors on superconducting qubits with relaxation times exceeding 0.4 ms," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    11. Eric Hyyppä & Suman Kundu & Chun Fai Chan & András Gunyhó & Juho Hotari & David Janzso & Kristinn Juliusson & Olavi Kiuru & Janne Kotilahti & Alessandro Landra & Wei Liu & Fabian Marxer & Akseli Mäkin, 2022. "Unimon qubit," Nature Communications, Nature, vol. 13(1), pages 1-14, December.

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