Cited by 80Quantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum Mechanics and Applications

Quantum control of a cat qubit with bit-flip times exceeding ten seconds

Open access
Réglade, U., Bocquet, A., Gautier, R., Cohen, J., Marquet, A., Albertinale, E., Pankratova, N., Hallén, M. +9 more·2024·Nature

Abstract

Quantum bits (qubits) are prone to several types of error as the result of uncontrolled interactions with their environment. Common strategies to correct these errors are based on architectures of qubits involving daunting hardware overheads1. One possible solution is to build qubits that are inherently protected against certain types of error, so the overhead required to correct the remaining errors is greatly reduced2–7. However, this strategy relies on one condition: any quantum manipulations of the qubit must not break the protection that has been so carefully engineered5,8. A type of qubit known as a cat qubit is encoded in the manifold of metastable states of a quantum dynamical system, and thereby acquires continuous and autonomous protection against bit-flips. Here, in a superconducting-circuit experiment, we implemented a cat qubit with bit-flip times exceeding 10 s. This is an improvement of four orders of magnitude over previously published cat-qubit implementations. We prepared and imaged quantum superposition states, and measured phase-flip times greater than 490 ns. Most importantly, we controlled the phase of these quantum superpositions without breaking the bit-flip protection. This experiment demonstrates the compatibility of quantum control and inherent bit-flip protection at an unprecedented level, showing the viability of these dynamical qubits for future quantum technologies. A type of qubit that has inherent resistance to bit-flip errors has been manipulated with a bit-flip time of more than 10 s without losing that error protection.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/s41586-024-07294-3

Cites

38 of 38 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Owing to the phase-space separation of the |±α⟩ coherent states, bit-flip error rates can be exponentially suppressed with cat size |α|^2.

    “Owing to the phase-space separation of the |±α⟩ coherent states, bit-flip error rates can be exponentially suppressed with cat size ∣α∣2 (refs. 23,24,34,35).”
  • Experiments demonstrating this exploitation at the single bosonic mode level have been performed using cat codes, binomial codes and GKP codes.

    “Experiments demonstrating this exploitation at the single bosonic mode level have been performed using cat codes21–23,33–35, binominal codes36 and GKP codes37–39.”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 6

  1. [4]4. John Guckenheimer and Philip Holmes. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, pages 1-65. Springer New York, New York, NY, 1983.
  2. [7]7. Michael A. Nielsen and Isaac L. Chuang. Quantum Computation and Quantum Information: 10th Anniversary Edition. Cambridge University Press, 2010.
  3. [24]24. Emmanuel Flurin. The Josephson mixer : a swiss army knife for microwave quantum optics. Ph.d. thesis, 2014.
  4. [36]36. Adrien Signoles, Adrien Facon, Dorian Grosso, Igor Dot- senko, Serge Haroche, Jean-Michel Raimond, Michel Brune, and Sébastien Gleyzes. Confined quantum zeno dynamics of a watched atomic arrow. Nature Physics, 10(10):715-719, August 2014.
  5. [38]38. L. Bretheau, P. Campagne-Ibarcq, E. Flurin, F. Mal- let, and B. Huard. Quantum dynamics of an electro- magnetic mode that cannot contain n photons. Science, 348(6236):776-779, 2015.
  6. [41]41. Jay Gambetta, Alexandre Blais, D. I. Schuster, A. Wall- raff, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf. Qubit-photon interactions in a cav- ity: Measurement-induced dephasing and number split- ting. Phys. Rev. A, 74(4):042318, 2006.

Cited by

Sorted by citations

Authors
Réglade, U., Bocquet, A., Gautier, R., Cohen, J., Marquet, A., Albertinale, E., Pankratova, N., Hallén, M., Rautschke, F., Sellem, L.-A., Rouchon, P., Sarlette, A., Mirrahimi, M., Campagne-Ibarcq, P., Lescanne, R., Jezouin, S., & Leghtas, Z.
Affiliations
  • Centre National de la Recherche Scientifique (FR)
  • Alice & Bob (France) (FR)
  • École Normale Supérieure de Lyon (FR)
Corresponding author
Leghtas, Z.
Venue
Nature
Published
2024-05-06
Volume
629
Issue
8013
Pages
778-783
ISSN
  • 0028-0836 (ISSN-L)
  • 1476-4687
OpenAlex
W4396669151
Cited by
80
References
38
Citations by year
2026: 34 · 2025: 32 · 2024: 14
FWCI
11.85
Type
journal article
Language
en
Open access
Locations
  • Nature (publishedVersion)
  • PubMed (publishedVersion)
  • HAL (submittedVersion)
Funders
  • European Commission
  • Agence Nationale de la Recherche (ANR-22-PETQ-0003, France2030, ANR-22-PETQ-0006, ANR-19-QUAN-0006)
  • QuantERA
  • HORIZON EUROPE Framework Programme
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
Keywords
cat qubits, quantum control, superconducting qubits, metastable states, quantum superposition, error protection, quantum error correction
MeSH terms
Quantum Theory, Time Factors

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review