The DOI matches its Crossref record; 55 of the 56 references it cites were found in a registry or an index.
Measuring the capabilities of quantum computers
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“Specifically, one half of the spontaneous Raman scattering errors are expected to result in leakage [53,54].”
From A Race-Track Trapped-Ion Quantum Processor (2023) · cites this paper as [53]
Citations
Cites
Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing
Benjamini, Y., & Hochberg, Y. (1995) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1995.tb02031.x · Cited by 109,482
Quantum Computing in the NISQ era and beyond
Preskill, J. (2018) · Quantum · doi:10.22331/q-2018-08-06-79 · Cited by 8,830
Quantum supremacy using a programmable superconducting processor
Arute, F., Arya, K., Babbush, R., Bacon, D., Bardin, J. C., Barends, R., Biswas, R., Boixo, S., Brandao, F. G. S. L., Buell, D. A., et al. (2019) · Nature · doi:10.1038/s41586-019-1666-5 · Cited by 7,720
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Aaronson, S., & Gottesman, D. (2004) · Physical Review A · doi:10.1103/physreva.70.052328 · Cited by 1,515
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“In our benchmarking experiments we use two transformations: the trivial transformation given by Q1(L) = {L−1}, and the transformation in whichQ1(L) consists of all 4w layers L̃−1 that satisfy U(L̃−1) = U(Q̃′L−1) for some Q̃′ ∈ Pw (which is similar to Pauli frame randomization [35, 44, 45]).”
BackgroundMethodResultInfluentialCharacterizing quantum supremacy in near-term devices
Boixo, S., Isakov, S. V., Smelyanskiy, V. N., Babbush, R., Ding, N., Jiang, Z., Bremner, M. J., Martinis, J. M., & Neven, H. (2018) · Nature Physics · doi:10.1038/s41567-018-0124-x · Cited by 1,175
Randomized benchmarking of quantum gates
Knill, E., Leibfried, D., Reichle, R., Britton, J., Blakestad, R. B., Jost, J. D., Langer, C., Ozeri, R., Seidelin, S., & Wineland, D. J. (2008) · Physical Review A · doi:10.1103/physreva.77.012307 · Cited by 1,019
Scalable and Robust Randomized Benchmarking of Quantum Processes
Magesan, E., Gambetta, J., & Emerson, J. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.180504 · Cited by 797
Quantum Theory of Electrical Transport Phenomena
Kohn, W., & Luttinger, J. M. (1957) · Physical Review · doi:10.1103/physrev.108.590 · Cited by 793
A simple formula for the average gate fidelity of a quantum dynamical operation
Nielsen, M. A. (2002) · Physics Letters A · doi:10.1016/s0375-9601(02)01272-0 · Cited by 725
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1 of the 56 references couldn’t be matched to a known paper.
Research works printed but not linked: 1
- Loschmidt, J. Über den Zustand des Wärmegleichgewichts eines Systems von Körpern mit Rücksicht auf die Schwerkraft. Sitzungsber. Akad. Wiss. 2, 128–142 (1876).
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de Jong, J., & Hoek, C. R. (2024) · Lecture notes in computer science · doi:10.1007/978-3-031-63778-0_16 · Cited by 1
Wang, H. (2024) · IEEE International Conference on Bioinformatics and Biomedicine (BIBM) · doi:10.1109/bibm62325.2024.10822209 · Cited by 1
Recent progress on photon-integrated quantum key distribution and quantum random number generator
Jingchun, Y., Wen-Bin, L., Bin, C. H. E. N., Yongqiang, D., Feng, X. I. E., Wei, L. I., & Wei, K. (2025) · Acta Physica Sinica · doi:10.7498/aps.74.20250791 · Cited by 1
Rocha-Soto, L. E., Damián, C., Saldaña‐Robles, A., & Cano-Andrade, S. (2025) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/adffcd · Cited by 1
Comparative Benchmarking of Utility-Scale Quantum Emulators
Leonteva, A. O., Masella, G., Outteryck, M., Orioli, A. P., & Whitlock, S. (2025) · ACM Transactions on Quantum Computing · doi:10.1145/3776567 · Cited by 8
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Bisicchia, G., Bocci, A., García-Alonso, J. M., Murillo, J. M., & Antonio Brogi, A. (2025) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce65121.2025.10315 · Cited by 1
Symmetry-constrained QCNN for few-shot learning with polylogarithmic generalization bounds
Guo, Z., Huang, C., Ding, W., & Ma, H. (2026) · Quantum Information Processing · doi:10.1007/s11128-026-05071-x · Cited by 1
Benchmarking quantum devices beyond classical capabilities
Bistroń, R., Rudziński, M., Kukulski, R., & Życzkowski, K. (2026) · Physical Review A · doi:10.1103/dsjj-stkn · Cited by 2
VQA-Classification-Algorithm-Oriented Performance Benchmarks for Quantum Computing
Zhang, M., Wang, J., Yao, F., & Lai, J. (2023) · International Conference on Cloud Computing and Big Data Analytics (ICCCBDA) · doi:10.1109/icccbda56900.2023.10154749 · Cited by 1
Robust hybrid qubit plane architecture for enhancing lattice-surgery-based surface codes
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Reliable confidence regions for quantum tomography using distribution moments
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Heuristic-free verification-inspired quantum benchmarking
Frank, J., Kashefi, E., Leichtle, D., & de Oliveira, M. (2025) · Quantum Science and Technology · doi:10.1088/2058-9565/adc298 · Cited by 1
A Systematic Review of Quantum BenchMarking
Malhotra, P., Kumar, A., & Garhwal, S. (2024) · International Journal of Theoretical Physics · doi:10.1007/s10773-024-05811-8 · Cited by 1
End-to-End Quantum Algorithms for the Jones Polynomial
Laakkonen, T., Rinaldi, E., Self, C. N., Chertkov, E., DeCross, M. P., Hayes, D., Neyenhuis, B., Benedetti, M., & Meichanetzidis, K. (2026) · PRX Quantum · doi:10.1103/jgv8-l3j1 · Cited by 2
Measuring Correlated Qubit Errors on Quantum ComputersPreprint
Schales, P. (2021) · Research Square · doi:10.21203/rs.3.rs-1035320/v1 · Cited by 1
Simplifying errors by symmetry and randomisationPreprint
Mills, J. K., Sadhukhan, D., & Kashefi, E. (2023) · HAL · doi:10.48550/arxiv.2303.02712 · Cited by 2
Shah, A., & Pachisia, T. (2023) · doi:10.36227/techrxiv.24186825
Shah, A., & Pachisia, T. (2023) · doi:10.36227/techrxiv.24186825.v1
Mitigating Coupling Map Constrained Correlated Measurement Errors on Quantum Devices
Robertson, A., & Song, S. L. (2023) · International Conference for High Performance Computing, Networking, Storage and Analysis (SC) · doi:10.1145/3581784.3607039
Benchmarking PQC Ansatze in Realistic Device Topologies
Hryniv, O., Los, V., Pryyma, Y., Iouchtchenko, D., Koch-Janusz, M., & Maksymenko, M. (2024) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce60285.2024.10245
A Quantum Computing Benchmark Based on Circuit Features
Liu, X., Proctor, T. J., Green, A., & Linke, N. M. (2025) · Quantum 2.0 Conference and Exhibition · doi:10.1364/quantum.2025.qw2a.2
Self-citationBenchmarking fault-tolerant quantum computing hardware via QLOPS
Kong, L., Zhang, F., & Chen, J. (2026) · ACM Transactions on Quantum Computing · doi:10.1145/3797968
Multi-GPU quantum circuit simulation and the impact of network performance
Brown, W. M., Ramesh, A., Lubinski, T., Nguyen, T., & Neira, D. E. B. (2026) · Computer Physics Communications · doi:10.1016/j.cpc.2026.110126
Average-computation benchmarking for local expectation values in digital quantum devices
Baccari, F., Kos, P., & Styliaris, G. (2026) · Physical Review Research · doi:10.1103/zn6p-c8w2 · Cited by 2
Not All Qubits are Utilized Equally
Pope, J., & Ghosh, S. (2025) · IEEE International Conference on Trust, Privacy and Security in Intelligent Systems and Applications (TPS-ISA) · doi:10.1109/tps-isa67132.2025.00069
Systematic Characterization of Transmon Qubit Stability with Thermal Cycling
Li, C., Yang, Z., Zhang, X., Wu, Z., Xue, S., & Deng, M. (2026) · Entropy · doi:10.3390/e28030296
Du, Q., Xu, J., Jin, Y., Wang, W., Tu, Z., Liu, Y., Lian, H., Zhu, Y., & Shan, Z. (2026) · Advanced Quantum Technologies · doi:10.1002/qute.202500464
Circuit compilation and error mitigation for near-term quantum computing
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Krasnok, A. (2026) · AVS Quantum Science · doi:10.1116/5.0337237
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Far‐Field Readout of Coherent Plasmonic Coupling in Au Nanoisland Arrays
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Pasupuleti, R. R. (2026) · Research Square · doi:10.21203/rs.3.rs-9443307/v1
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Leonteva, A. O., Outteryck, M., & Masella, G. (2026) · Lecture notes in computer science · doi:10.1007/978-3-032-36226-1_17
Gnatowski, A., Rudy, J., Rudziński, M., Bistroń, R., Święcicki, K., Niżyński, T., Bożejko, W., & Życzkowski, K. (2026) · Lecture notes in computer science · doi:10.1007/978-3-032-36868-3_12
Metadata
- Authors
- Proctor, T., Rudinger, K., Young, K., Nielsen, E., & Blume-Kohout, R.
- Affiliations
- Sandia National Laboratories California (US)
- Corresponding author
- Proctor, Timothy
- Venue
- Nature Physics
- Published
- 2021-12-20
- Volume
- 18
- Issue
- 1
- Pages
- 75-79
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W4206310632
- Cited by
- 146
- References
- 56
- Citations by year
- 2026: 26 · 2025: 28 · 2024: 35 · 2023: 30 · 2022: 20 · 2021: 7
- FWCI
- 8.13
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nature Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- DOE | LDRD | Sandia National Laboratories
- DOE | Office of Science
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Hardware and Architecture › Parallel Computing and Optimization Techniques
- Keywords
- quantum computing hardware, benchmarking, hardware errors, error metrics, program structure
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