Probabilistic Interpolation of Quantum Rotation Angles Article Swipe
Bálint Koczor
,
John J. L. Morton
,
Simon C. Benjamin
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/physrevlett.132.130602
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/physrevlett.132.130602
Quantum computing requires a universal set of gate operations; regarding gates as rotations, any rotation angle must be possible. However a real device may only be capable of B bits of resolution, i.e., it might support only 2B possible variants of a given physical gate. Naive discretization of an algorithm’s gates to the nearest available options causes coherent errors, while decomposing an impermissible gate into several allowed operations increases circuit depth. Conversely, demanding higher B can greatly complexify hardware. Here, we explore an alternative: probabilistic angle interpolation (PAI). This effectively implements any desired, continuously parametrized rotation by randomly choosing one of three discretized gate settings and postprocessing individual circuit outputs. The approach is particularly relevant for near-term applications where one would in any case average over many runs of circuit executions to estimate expected values. While PAI increases that sampling cost, we prove that (a) the approach is optimal in the sense that PAI achieves the least possible overhead and (b) the overhead is remarkably modest even with thousands of parametrized gates and only seven bits of resolution available. This is a profound relaxation of engineering requirements for first generation quantum computers where even 5–6 bits of resolution may suffice and, as we demonstrate, the approach is many orders of magnitude more efficient than prior techniques. Moreover we conclude that, even for more mature late noisy intermediate-scale quantum era hardware, no more than nine bits will be necessary. Published by the American Physical Society 2024
Related Topics
Concepts
Overhead (engineering)
Probabilistic logic
Computer science
Interpolation (computer graphics)
Rotation (mathematics)
Quantum gate
Algorithm
Quantum circuit
Discretization
Quantum computer
Set (abstract data type)
Gate count
Quantum
Quantum error correction
Computer engineering
Mathematics
Physics
Quantum mechanics
Computer hardware
Artificial intelligence
Image (mathematics)
Programming language
Mathematical analysis
Operating system
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevlett.132.130602
- http://link.aps.org/pdf/10.1103/PhysRevLett.132.130602
- OA Status
- hybrid
- Cited By
- 12
- References
- 56
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4393220741
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4393220741Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevlett.132.130602Digital Object Identifier
- Title
-
Probabilistic Interpolation of Quantum Rotation AnglesWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-03-27Full publication date if available
- Authors
-
Bálint Koczor, John J. L. Morton, Simon C. BenjaminList of authors in order
- Landing page
-
https://doi.org/10.1103/physrevlett.132.130602Publisher landing page
- PDF URL
-
https://link.aps.org/pdf/10.1103/PhysRevLett.132.130602Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
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https://link.aps.org/pdf/10.1103/PhysRevLett.132.130602Direct OA link when available
- Concepts
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Overhead (engineering), Probabilistic logic, Computer science, Interpolation (computer graphics), Rotation (mathematics), Quantum gate, Algorithm, Quantum circuit, Discretization, Quantum computer, Set (abstract data type), Gate count, Quantum, Quantum error correction, Computer engineering, Mathematics, Physics, Quantum mechanics, Computer hardware, Artificial intelligence, Image (mathematics), Programming language, Mathematical analysis, Operating systemTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
12Total citation count in OpenAlex
- Citations by year (recent)
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2025: 8, 2024: 3, 2023: 1Per-year citation counts (last 5 years)
- References (count)
-
56Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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