Suppressing quantum errors by scaling a surface code logical qubit
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.
Top-30
Journals
|
10
20
30
40
50
60
70
|
|
|
Physical Review A
61 publications, 8.03%
|
|
|
PRX Quantum
56 publications, 7.37%
|
|
|
Physical Review Research
44 publications, 5.79%
|
|
|
Physical Review Applied
44 publications, 5.79%
|
|
|
Physical Review Letters
43 publications, 5.66%
|
|
|
Quantum
39 publications, 5.13%
|
|
|
Physical Review X
21 publications, 2.76%
|
|
|
npj Quantum Information
20 publications, 2.63%
|
|
|
Nature
19 publications, 2.5%
|
|
|
Physical Review B
17 publications, 2.24%
|
|
|
Nature Communications
15 publications, 1.97%
|
|
|
Quantum Science and Technology
13 publications, 1.71%
|
|
|
IEEE Transactions on Quantum Engineering
12 publications, 1.58%
|
|
|
New Journal of Physics
10 publications, 1.32%
|
|
|
Advanced Quantum Technologies
10 publications, 1.32%
|
|
|
Nature Physics
9 publications, 1.18%
|
|
|
Applied Physics Letters
8 publications, 1.05%
|
|
|
Journal of Chemical Theory and Computation
6 publications, 0.79%
|
|
|
Quantum Information Processing
6 publications, 0.79%
|
|
|
Scientific Reports
5 publications, 0.66%
|
|
|
Proceedings of the ACM on Programming Languages
5 publications, 0.66%
|
|
|
Science
4 publications, 0.53%
|
|
|
ACM Transactions on Quantum Computing
4 publications, 0.53%
|
|
|
Nature Electronics
4 publications, 0.53%
|
|
|
Lecture Notes in Computer Science
4 publications, 0.53%
|
|
|
Quantum Reports
3 publications, 0.39%
|
|
|
Proceedings of the National Academy of Sciences of the United States of America
3 publications, 0.39%
|
|
|
IEEE Journal of Solid-State Circuits
3 publications, 0.39%
|
|
|
IEEE Access
3 publications, 0.39%
|
|
|
10
20
30
40
50
60
70
|
Publishers
|
50
100
150
200
250
300
|
|
|
American Physical Society (APS)
290 publications, 38.16%
|
|
|
Institute of Electrical and Electronics Engineers (IEEE)
130 publications, 17.11%
|
|
|
Springer Nature
109 publications, 14.34%
|
|
|
IOP Publishing
39 publications, 5.13%
|
|
|
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
39 publications, 5.13%
|
|
|
Elsevier
28 publications, 3.68%
|
|
|
Association for Computing Machinery (ACM)
26 publications, 3.42%
|
|
|
AIP Publishing
16 publications, 2.11%
|
|
|
Wiley
15 publications, 1.97%
|
|
|
MDPI
13 publications, 1.71%
|
|
|
American Chemical Society (ACS)
9 publications, 1.18%
|
|
|
American Association for the Advancement of Science (AAAS)
7 publications, 0.92%
|
|
|
Science in China Press
6 publications, 0.79%
|
|
|
Optica Publishing Group
3 publications, 0.39%
|
|
|
Proceedings of the National Academy of Sciences (PNAS)
3 publications, 0.39%
|
|
|
Stichting SciPost
2 publications, 0.26%
|
|
|
Royal Society of Chemistry (RSC)
2 publications, 0.26%
|
|
|
Pleiades Publishing
2 publications, 0.26%
|
|
|
Institute for Operations Research and the Management Sciences (INFORMS)
2 publications, 0.26%
|
|
|
American Vacuum Society
1 publication, 0.13%
|
|
|
IGI Global
1 publication, 0.13%
|
|
|
World Scientific
1 publication, 0.13%
|
|
|
Frontiers Media S.A.
1 publication, 0.13%
|
|
|
SPIE-Intl Soc Optical Eng
1 publication, 0.13%
|
|
|
Taylor & Francis
1 publication, 0.13%
|
|
|
Walter de Gruyter
1 publication, 0.13%
|
|
|
Physical Society of Japan
1 publication, 0.13%
|
|
|
Institution of Engineering and Technology (IET)
1 publication, 0.13%
|
|
|
Oxford University Press
1 publication, 0.13%
|
|
|
50
100
150
200
250
300
|
- We do not take into account publications without a DOI.
- Statistics recalculated weekly.
Are you a researcher?
- I L Aleiner
- J C Bardin
- J T Basso
- S Boixo
- A B Bourassa
- B J Burkett
- A Del Del Toro Barba
- S Demura
- D Eppens
- S Habegger
- M P Harrigan
- S D Harrington
- W J Huggins
- P Juhas
- J F Kelly
- D Landhuis
- J R McClean
- M W McEwen
- A Megrant
- X 锌林 Mi
- S Montazeri
- A Morvan
- W Mruczkiewicz
- O Naaman
- M Neeley
- H Neven
- P Roushan
- D Thomas Sank
- K J Satzinger
- H F Schurkus
- C V Vollgraff-Heidweiller
- P Yeh
- A Zalcman
- N Zhu