Benchmarking quantum logic operations relative to thresholds for fault tolerance Article Swipe
Akel Hashim
,
Stefan Seritan
,
Timothy Proctor
,
Kenneth Rudinger
,
Noah Goss
,
Ravi Naik
,
John Mark Kreikebaum
,
David I. Santiago
,
Irfan Siddiqi
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1038/s41534-023-00764-y
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1038/s41534-023-00764-y
Contemporary methods for benchmarking noisy quantum processors typically measure average error rates or process infidelities. However, thresholds for fault-tolerant quantum error correction are given in terms of worst-case error rates—defined via the diamond norm—which can differ from average error rates by orders of magnitude. One method for resolving this discrepancy is to randomize the physical implementation of quantum gates, using techniques like randomized compiling (RC). In this work, we use gate set tomography to perform precision characterization of a set of two-qubit logic gates to study RC on a superconducting quantum processor. We find that, under RC, gate errors are accurately described by a stochastic Pauli noise model without coherent errors, and that spatially correlated coherent errors and non-Markovian errors are strongly suppressed. We further show that the average and worst-case error rates are equal for randomly compiled gates, and measure a maximum worst-case error of 0.0197(3) for our gate set. Our results show that randomized benchmarks are a viable route to both verifying that a quantum processor’s error rates are below a fault-tolerance threshold, and to bounding the failure rates of near-term algorithms, if—and only if—gates are implemented via randomization methods which tailor noise.
Related Topics
Concepts
Quantum error correction
Quantum computer
Computer science
Quantum gate
Algorithm
Quantum circuit
Fault tolerance
Error detection and correction
Measure (data warehouse)
Quantum
Mathematics
Quantum mechanics
Physics
Database
Distributed computing
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1038/s41534-023-00764-y
- https://www.nature.com/articles/s41534-023-00764-y.pdf
- OA Status
- gold
- Cited By
- 11
- References
- 130
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4387959152
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4387959152Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1038/s41534-023-00764-yDigital Object Identifier
- Title
-
Benchmarking quantum logic operations relative to thresholds for fault toleranceWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-10-26Full publication date if available
- Authors
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Akel Hashim, Stefan Seritan, Timothy Proctor, Kenneth Rudinger, Noah Goss, Ravi Naik, John Mark Kreikebaum, David I. Santiago, Irfan SiddiqiList of authors in order
- Landing page
-
https://doi.org/10.1038/s41534-023-00764-yPublisher landing page
- PDF URL
-
https://www.nature.com/articles/s41534-023-00764-y.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
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https://www.nature.com/articles/s41534-023-00764-y.pdfDirect OA link when available
- Concepts
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Quantum error correction, Quantum computer, Computer science, Quantum gate, Algorithm, Quantum circuit, Fault tolerance, Error detection and correction, Measure (data warehouse), Quantum, Mathematics, Quantum mechanics, Physics, Database, Distributed computingTop concepts (fields/topics) attached by OpenAlex
- Cited by
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11Total citation count in OpenAlex
- Citations by year (recent)
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2025: 3, 2024: 6, 2023: 2Per-year citation counts (last 5 years)
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130Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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