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PreprintarXiv licencearXiv

Scaling law of variational quantum algorithms

  • Ningfeng Wang
  • Zhengwei Liu
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Abstract

We study scaling law of variational quantum algorithms by large-scale numerical experiments on combinatorial optimizations. On experiments up to n = 5000 qubits with O( log(n)) circuit depth with a classically simulable ansatz, the converged energies consistently differ by no more than 0.5% from the optimal or reference energies reported in the benchmarks.

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Cite

BibTeXRIS
BibTeX
@misc{wang2026scaling,
  title = {{Scaling law of variational quantum algorithms}},
  author = {Ningfeng Wang and Zhengwei Liu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39949},
  eprint = {2609.39949},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39949},
}
RIS
TY  - UNPB
TI  - Scaling law of variational quantum algorithms
AU  - Ningfeng Wang
AU  - Zhengwei Liu
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39949
UR  - https://arxiv.org/abs/2609.39949
AB  - We study scaling law of variational quantum algorithms by large-scale numerical experiments on combinatorial optimizations. On experiments up to n = 5000 qubits with O( log(n)) circuit depth with a classically simulable ansatz, the converged energies consistently differ by no more than 0.5% from the optimal or reference energies reported in the benchmarks.
ER  -