Lower bounds on circuit depth of the quantum approximate optimization algorithm
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A lower bound for the required circuit depth has been theoretically derived and found to be the chromatic index of the problem graph plus one.
“However, a lower bound for the required circuit depth has been theoretically derived and found to be the chromatic index of the problem graph plus one [64].”
From Quantum Combinatorial Optimization in the NISQ Era: A Systematic Mapping Study (2024) · cites this paper as [64]
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“However, a lower bound for the required circuit depth has been theoretically derived and found to be the chromatic index of the problem graph plus one [64].”
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- Authors
- Herrman, R., Ostrowski, J., Humble, T. S., & Siopsis, G.
- Affiliations
- University of Tennessee at Knoxville (US)
- Oak Ridge National Laboratory (US)
- Corresponding author
- Ostrowski, James
- Venue
- Quantum Information Processing
- Published
- 2021-02
- Volume
- 20
- Issue
- 2
- ISSN
- 1570-0755 (ISSN-L)
- 1573-1332
- OpenAlex
- W3128749955
- Cited by
- 35
- References
- 29
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 7 · 2023: 8 · 2022: 6 · 2021: 6
- FWCI
- 2.39
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Quantum Information Processing (publishedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- Funders
- Defense Advanced Research Projects Agency (W911NF-20-2-0051)
- Air Force Office of Scientific Research (AF-FA9550-19-1-0147)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Complexity and Algorithms in Graphs
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- quantum approximate optimization algorithm, circuit depth lower bounds, combinatorial optimization, quantum advantage, NISQ devices, chromatic index, MaxCut, vertex cover, Boolean satisfiability, traveling salesman problem, knapsack problem, problem structure
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