Grover's Quantum Algorithm Applied to Global Optimization
Abstract
Grover's quantum computational search procedure can provide the basis for implementing adaptive global optimization algorithms. A brief overview of the procedure is given and a framework called Grover adaptive search is set up. A method of Dürr and Hoyer and one introduced by the authors fit into this framework and are compared.
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Grover-based optimization algorithms such as Grover Adaptive Search have been proposed.
“In this sense, Grover-based optimization algorithms [184] such as Grover Adaptive Search [161] have been proposed.”
From Quantum Combinatorial Optimization in the NISQ Era: A Systematic Mapping Study (2024) · cites this paper as [161]
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- Authors
- Baritompa, W. P., Bulger, D. W., & Wood, G. R.
- Affiliations
- University of Canterbury (NZ)
- Macquarie University (AU)
- Venue
- SIAM Journal on Optimization
- Published
- 2005-01
- Volume
- 15
- Issue
- 4
- Pages
- 1170-1184
- ISSN
- 1052-6234 (ISSN-L)
- 1095-7189
- OpenAlex
- W2077305851
- Cited by
- 108
- References
- 18
- Citations by year
- 2026: 6 · 2025: 13 · 2024: 22 · 2023: 16 · 2022: 4 · 2021: 11 · 2020: 4 · 2019: 5 · 2018: 2 · 2017: 3 · 2016: 4 · 2014: 2 · 2013: 1 · 2012: 1
- FWCI
- 1.05
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- SIAM Journal on Optimization (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Mathematics › Numerical Analysis › Advanced Optimization Algorithms Research
- Physical Sciences › Computer Science › Artificial Intelligence › Metaheuristic Optimization Algorithms Research
- Keywords
- Grover's algorithm, quantum search, global optimization, adaptive optimization algorithm, quantum computing
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 ›
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