The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Scalable Mitigation of Measurement Errors on Quantum Computers
Open accessAbstract
We present a method for mitigating measurement errors on quantum computing platforms that does not form the full assignment matrix, or its inverse, and works in a subspace defined by the noisy input bit strings.This method accommodates both uncorrelated and correlated errors and allows for the computation of accurate error bounds.Additionally, we detail a matrix-free preconditioned iterative-solution method that converges in O(1) steps that is performant and uses orders of magnitude less memory than direct factorization.We demonstrate the validity of our method and mitigate errors in a few seconds on numbers of qubits that would otherwise be impractical.
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
Matplotlib: a 2D graphics environment
Hunter, J. D. (2007) · Computing in Science & Engineering · doi:10.1109/mcse.2007.55 · Cited by 39,249
SciPy 1.0: fundamental algorithms for scientific computing in Python
Virtanen, P., Gommers, R., Oliphant, T. E., Haberland, M., Reddy, T., Cournapeau, D., Burovski, E., Peterson, P., Weckesser, W., Bright, J., et al. (2020) · Nature Methods · doi:10.1038/s41592-019-0686-2 · Cited by 38,430
Harris, C. R., Millman, K. J., van der Walt, S. J., Gommers, R., Virtanen, P., Cournapeau, D., Wieser, E., Taylor, J., Berg, S., Smith, N. J., et al. (2020) · Nature · doi:10.1038/s41586-020-2649-2 · Cited by 23,826
Iterative Methods for Sparse Linear Systems
Saad, Y. (2003) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898718003 · Cited by 13,790
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Saad, Y., & Schultz, M. H. (1986) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0907058 · Cited by 11,154
van der Vorst, H. A. (1992) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0913035 · Cited by 5,308
A variational eigenvalue solver on a photonic quantum processor
Peruzzo, A., McClean, J., Shadbolt, P., Yung, M.-H., Zhou, X.-Q., Love, P. J., Aspuru-Guzik, A., & O’Brien, J. L. (2014) · Nature Communications · doi:10.1038/ncomms5213 · Cited by 4,552 · cited 1×
“…radius of one, that is diagonal in the computational basis Near-term algorithms such as the ubiquitous Variational Quantum Eigensolver (VQE) [20, 30] and quantum machine learning [22, 27] rely on the computation of expectation values, making the correction of measurement errors in these…”
BackgroundTemplates for the Solution of Linear Systems: Building Blocks for Iterative Methods
Barrett, R., Berry, M., Chan, T. F., Demmel, J., Donato, J., Dongarra, J., Eijkhout, V., Pozo, R., Romine, C., & van der Vorst, H. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971538 · Cited by 3,479
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Kandala, A., Mezzacapo, A., Temme, K., Takita, M., Brink, M., Chow, J. M., & Gambetta, J. M. (2017) · Nature · doi:10.1038/nature23879 · Cited by 2,982
Self-citationSupervised learning with quantum-enhanced feature spaces
Havlíček, V., Córcoles, A. D., Temme, K., Harrow, A. W., Kandala, A., Chow, J. M., & Gambetta, J. M. (2019) · Nature · doi:10.1038/s41586-019-0980-2 · Cited by 2,572
Self-citation
Cited by
Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges
Fauseweh, B. (2024) · Nature Communications · doi:10.1038/s41467-024-46402-9 · Cited by 152
Biology and medicine in the landscape of quantum advantages
Cordier, B. A., Sawaya, N. P. D., Guerreschi, G. G., & McWeeney, S. K. (2022) · Journal of The Royal Society Interface · doi:10.1098/rsif.2022.0541 · Cited by 87
Quantifying the effect of gate errors on variational quantum eigensolvers for quantum chemistry
Dalton, K., Long, C. K., Yordanov, Y. S., Smith, C. G., Barnes, C. H. W., Mertig, N., & Arvidsson-Shukur, D. R. M. (2024) · npj Quantum Information · doi:10.1038/s41534-024-00808-x · Cited by 43
Provable bounds for noise-free expectation values computed from noisy samples
Barron, S. V., Egger, D. J., Pelofske, E., Bärtschi, A., Eidenbenz, S., Lehmkuehler, M., & Woerner, S. (2024) · Nature Computational Science · doi:10.1038/s43588-024-00709-1 · Cited by 25
Leveraging quantum computing for dynamic analyses of logical networks in systems biology
Weidner, F. M., Schwab, J. D., Wölk, S., Rupprecht, F., Ikonomi, N., Werle, S. D., Hoffmann, S., Kühl, M., & Kestler, H. A. (2023) · Patterns · doi:10.1016/j.patter.2023.100705 · Cited by 21
Metadata
- Authors
- Nation, P. D., Kang, H., Sundaresan, N., & Gambetta, J. M.
- Venue
- PRX Quantum
- Publisher
- American Physical Society (APS)
- Published
- 2021-11-08
- Volume
- 2
- Issue
- 4
- ISSN
- 2691-3399 (ISSN-L)
- OpenAlex
- W3197075881
- Cited by
- 269
- References
- 36
- FWCI
- 13.76
- 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: Scalable Mitigation of Measurement Errors on Quantum Computers. https://app.cochat.ai/papers/10.1103/prxquantum.2.040326
- The paper
- Nation, P. D., Kang, H., Sundaresan, N., & Gambetta, J. M. (2021). Scalable Mitigation of Measurement Errors on Quantum Computers. PRX Quantum. https://doi.org/10.1103/prxquantum.2.040326
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.