volume 614 issue 7949 pages 676-681

Suppressing quantum errors by scaling a surface code logical qubit

Rajeev Acharya
Richard Allen
Trond I. Andersen
Markus Ansmann
Frank Arute
Kunal Arya
Abraham Asfaw
Juan Atalaya
Ryan Babbush
Dave Bacon
Andreas Bengtsson
S. Boixo
Gina Bortoli
Jenna Bovaird
Leon Brill
MICHAEL BROUGHTON
Bob B. Buckley
David A. Buell
Tim Burger
Nicholas Bushnell
Yu Chen
Zijun Chen
Ben Chiaro
Josh Cogan
Roberto Collins
Paul Conner
William Courtney
Alexander L. Crook
Ben Curtin
Dripto M. Debroy
Andrew Dunsworth
Catherine Erickson
Lara Faoro
Edward Farhi
Reza Fatemi
Leslie Flores Burgos
Ebrahim Forati
AUSTIN G. FOWLER
Brooks Foxen
William Giang
Craig Gidney
Dar Gilboa
Marissa Giustina
Alejandro Grajales Dau
Jonathan A. Gross
Michael C. Hamilton
Oscar Higgott
Jeremy Hilton
Markus Hoffmann
Sabrina Hong
Trent Huang
Ashley Huff
Lev B. Ioffe
Sergei V. Isakov
Justin Iveland
Evan Jeffrey
Jiang Zhang
Cody Jones
Dvir Kafri
Kostyantyn Kechedzhi
Tanuj Khattar
Mostafa Khezri
MÁRIA KIEFEROVÁ
Seon Kim
Alexei Kitaev
Paul V. Klimov
Andrey R. Klots
Alexander N Korotkov
Fedor Kostritsa
John Mark Kreikebaum
Pavel Laptev
Kim-Ming Lau
Lily Laws
Joonho Lee
Kenny Lee
Brian J. Lester
Alexander Lill
Wayne Liu
Aditya Locharla
Erik Lucero
Fionn D. Malone
Jeffrey Marshall
Orion Martin
Trevor McCourt
Bernardo Meurer Costa
Xiao Mi
Kevin C. Miao
Masoud Mohseni
Emily Mount
O. Naaman
Charles Neill
Ani Nersisyan
Michael Newman
Jiun How Ng
Anthony Nguyen
Murray Nguyen
Murphy Yuezhen Niu
Thomas E. O'Brien
Alex Opremcak
John Platt
Andre Petukhov
Rebecca Potter
Leonid P. Pryadko
Chris Quintana
Nicholas C. Rubin
Negar Saei
Kannan Sankaragomathi
Christopher Schuster
Michael J. Shearn
Aaron Shorter
Vladimir Shvarts
Jindra Skruzny
Vadim Smelyanskiy
W. Clarke Smith
George Sterling
Doug Strain
Marco Szalay
Alfredo Torres
Guifre Vidal
Benjamin Villalonga
Theodore White
Xing Cheng
Z. Jamie Yao
Ping Yeh
Juhwan Yoo
Grayson Young
Yaxing Zhang
Publication typeJournal Article
Publication date2023-02-22
scimago Q1
wos Q1
SJR18.288
CiteScore78.1
Impact factor48.5
ISSN00280836, 14764687
Multidisciplinary
Abstract

Practical quantum computing will require error rates well below those achievable with physical qubits. Quantum error correction1,2 offers a path to algorithmically relevant error rates by encoding logical qubits within many physical qubits, for which increasing the number of physical qubits enhances protection against physical errors. However, introducing more qubits also increases the number of error sources, so the density of errors must be sufficiently low for logical performance to improve with increasing code size. Here we report the measurement of logical qubit performance scaling across several code sizes, and demonstrate that our system of superconducting qubits has sufficient performance to overcome the additional errors from increasing qubit number. We find that our distance-5 surface code logical qubit modestly outperforms an ensemble of distance-3 logical qubits on average, in terms of both logical error probability over 25 cycles and logical error per cycle ((2.914 ± 0.016)% compared to (3.028 ± 0.023)%). To investigate damaging, low-probability error sources, we run a distance-25 repetition code and observe a 1.7 × 10−6 logical error per cycle floor set by a single high-energy event (1.6 × 10−7 excluding this event). We accurately model our experiment, extracting error budgets that highlight the biggest challenges for future systems. These results mark an experimental demonstration in which quantum error correction begins to improve performance with increasing qubit number, illuminating the path to reaching the logical error rates required for computation.

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Acharya R. et al. Suppressing quantum errors by scaling a surface code logical qubit // Nature. 2023. Vol. 614. No. 7949. pp. 676-681.
GOST all authors (up to 50) Copy
Acharya R. et al. Suppressing quantum errors by scaling a surface code logical qubit // Nature. 2023. Vol. 614. No. 7949. pp. 676-681.
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BibTex (up to 50 authors) Copy
@article{2023_Acharya,
author = {Rajeev Acharya and Igor Aleiner and Richard Allen and Trond I. Andersen and Markus Ansmann and Frank Arute and Kunal Arya and Abraham Asfaw and Juan Atalaya and Ryan Babbush and Dave Bacon and Joseph C. Bardin and Joao Basso and Andreas Bengtsson and S. Boixo and Gina Bortoli and Alexandre Bourassa and Jenna Bovaird and Leon Brill and MICHAEL BROUGHTON and Bob B. Buckley and David A. Buell and Tim Burger and Brian J. Burkett and Nicholas Bushnell and Yu Chen and Zijun Chen and Ben Chiaro and Josh Cogan and Roberto Collins and Paul Conner and William Courtney and Alexander L. Crook and Ben Curtin and Dripto M. Debroy and Alexander Del Toro Barba and Sean Demura and Andrew Dunsworth and Daniel Eppens and Catherine Erickson and Lara Faoro and Edward Farhi and Reza Fatemi and Leslie Flores Burgos and Ebrahim Forati and AUSTIN G. FOWLER and Brooks Foxen and William Giang and Craig Gidney and Dar Gilboa and others},
title = {Suppressing quantum errors by scaling a surface code logical qubit},
journal = {Nature},
year = {2023},
volume = {614},
publisher = {Springer Nature},
month = {feb},
url = {https://doi.org/10.1038/s41586-022-05434-1},
number = {7949},
pages = {676--681},
doi = {10.1038/s41586-022-05434-1}
}
MLA
Cite this
MLA Copy
Acharya, Rajeev, et al. “Suppressing quantum errors by scaling a surface code logical qubit.” Nature, vol. 614, no. 7949, Feb. 2023, pp. 676-681. https://doi.org/10.1038/s41586-022-05434-1.