The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Implementing a universal gate set on a logical qubit encoded in an oscillator
Open accessAbstract
A logical qubit is a two-dimensional subspace of a higher dimensional system, chosen such that it is possible to detect and correct the occurrence of certain errors. Manipulation of the encoded information generally requires arbitrary and precise control over the entire system. Whether based on multiple physical qubits or larger dimensional modes such as oscillators, the individual elements in realistic devices will always have residual interactions, which must be accounted for when designing logical operations. Here we demonstrate a holistic control strategy which exploits accurate knowledge of the Hamiltonian to manipulate a coupled oscillator-transmon system. We use this approach to realize high-fidelity (98.5%, inferred), decoherence-limited operations on a logical qubit encoded in a superconducting cavity resonator using four-component cat states. Our results show the power of applying numerical techniques to control linear oscillators and pave the way for utilizing their large Hilbert space as a resource in quantum information processing.
Overview
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.
Integrity signals
Registry
Cites
Statistics
Verification
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.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication
Briegel, H.-J., Dür, W., Cirac, J. I., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.5932 · Cited by 3,481
Khaneja, N., Reiss, T., Kehlet, C., Schulte-Herbrüggen, T., & Glaser, S. J. (2005) · Journal of Magnetic Resonance · doi:10.1016/j.jmr.2004.11.004 · Cited by 1,854
Theory of quantum error-correcting codes
Knill, E., & Laflamme, R. (1997) · Physical Review A · doi:10.1103/physreva.55.900 · Cited by 1,593
Encoding a qubit in an oscillator
Gottesman, D., Kitaev, A., & Preskill, J. (2001) · Physical Review A · doi:10.1103/physreva.64.012310 · Cited by 1,532
Quantum error correction for quantum memories
Terhal, B. M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.307 · Cited by 1,354
Extending the lifetime of a quantum bit with error correction in superconducting circuits
Ofek, N., Petrenko, A., Heeres, R., Reinhold, P., Leghtas, Z., Vlastakis, B., Liu, Y., Frunzio, L., Girvin, S. M., Jiang, L., et al. (2016) · Nature · doi:10.1038/nature18949 · Cited by 941
Self-citationRealization of quantum error correction
Chiaverini, J., Leibfried, D., Schaetz, T., Barrett, M. D., Blakestad, R. B., Britton, J., Itano, W. M., Jost, J. D., Knill, E., Langer, C., et al. (2004) · Nature · doi:10.1038/nature03074 · Cited by 517
Quantum memory with millisecond coherence in circuit QED
Reagor, M., Pfaff, W., Axline, C., Heeres, R. W., Ofek, N., Sliwa, K., Holland, E., Wang, C., Blumoff, J., Chou, K., et al. (2016) · Physical Review B · doi:10.1103/physrevb.94.014506 · Cited by 376
Self-citationCodes for the quantum erasure channel
Grassl, M., Beth, T., & Pellizzari, T. (1997) · Physical Review A · doi:10.1103/physreva.56.33 · Cited by 374
High-fidelity spin entanglement using optimal control
Dolde, F., Bergholm, V., Wang, Y., Jakobi, I., Naydenov, B., Pezzagna, S., Meijer, J., Jelezko, F., Neumann, P., Schulte-Herbrüggen, T., et al. (2014) · Nature Communications · doi:10.1038/ncomms4371 · Cited by 325
Cited by
Superconducting Qubits: Current State of Play
Kjaergaard, M., Schwartz, M. E., Braumüller, J., Krantz, P., Wang, J. I.-J., Gustavsson, S., & Oliver, W. D. (2020) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031119-050605 · Cited by 1,544
Quantum information processing and quantum optics with circuit quantum electrodynamics
Blais, A., Girvin, S. M., & Oliver, W. D. (2020) · Nature Physics · doi:10.1038/s41567-020-0806-z · Cited by 420
Encoding a qubit in a trapped-ion mechanical oscillator
Flühmann, C., Nguyen, T. L., Marinelli, M., Negnevitsky, V., Mehta, K., & Home, J. P. (2019) · Nature · doi:10.1038/s41586-019-0960-6 · Cited by 394
Fault-tolerant control of an error-corrected qubit
Egan, L., Debroy, D. M., Noel, C., Risinger, A., Zhu, D., Biswas, D., Newman, M., Li, M., Brown, K. R., Cetina, M., et al. (2021) · Nature · doi:10.1038/s41586-021-03928-y · Cited by 348
Realization of Real-Time Fault-Tolerant Quantum Error Correction
Ryan-Anderson, C., Bohnet, J. G., Lee, K., Gresh, D., Hankin, A., Gaebler, J. P., Francois, D., Chernoguzov, A., Lucchetti, D., Brown, N. C., et al. (2021) · Physical Review X · doi:10.1103/physrevx.11.041058 · Cited by 306
Metadata
- Authors
- Heeres, R. W., Reinhold, P., Ofek, N., Frunzio, L., Jiang, L., Devoret, M. H., & Schoelkopf, R. J.
- Venue
- Nature Communications
- Published
- 2017-07-21
- Volume
- 8
- Issue
- 1
- Pages
- 94-94
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2524327158
- Cited by
- 307
- References
- 10
- FWCI
- 14.92
- Type
- journal article
- Language
- en
- Open access
- gold
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Implementing a universal gate set on a logical qubit encoded in an oscillator. https://app.cochat.ai/papers/10.1038/s41467-017-00045-1
- The paper
- Heeres, R. W., Reinhold, P., Ofek, N., Frunzio, L., Jiang, L., Devoret, M. H., & Schoelkopf, R. J. (2017). Implementing a universal gate set on a logical qubit encoded in an oscillator. Nature Communications. https://doi.org/10.1038/s41467-017-00045-1
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
