English

Quantum computational advantage implies contextuality

Quantum Physics 2021-12-16 v2

Abstract

We show that a separation between the class of all problems that can efficiently be solved on a quantum computer and those solvable using probabilistic classical algorithms in polynomial time implies the generalized contextuality of quantum algorithms. Our result subsumes versions of Gottesman-Knill theorem as special cases.

Keywords

Cite

@article{arxiv.2112.00024,
  title  = {Quantum computational advantage implies contextuality},
  author = {Farid Shahandeh},
  journal= {arXiv preprint arXiv:2112.00024},
  year   = {2021}
}

Comments

6 pages, minor changes incl. a brief comment on the single-qubit contextuality, references added, further comments are encouraged

R2 v1 2026-06-24T07:58:28.103Z