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PreprintCC BY 4.0arXiv

Refuting the QAOA fixed-angle conjecture

Abstract

The fixed-angle conjecture for the quantum approximate optimisation algorithm (QAOA) is shown to be false for depth-2 QAOA on 9-regular graphs, and proven to be correct for depth-1 on any regular graph, as well as for any depth on all 2-regular graphs.

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BibTeX
@misc{binkowski2026refuting,
  title = {{Refuting the QAOA fixed-angle conjecture}},
  author = {Lennart Binkowski},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.27703},
  eprint = {2609.27703},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.27703},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Refuting the QAOA fixed-angle conjecture
AU  - Lennart Binkowski
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.27703
UR  - https://arxiv.org/abs/2609.27703
AB  - The fixed-angle conjecture for the quantum approximate optimisation algorithm (QAOA) is shown to be false for depth-2 QAOA on 9-regular graphs, and proven to be correct for depth-1 on any regular graph, as well as for any depth on all 2-regular graphs.
ER  -