English

Qudit homological product codes

Quantum Physics 2019-06-10 v3 Mathematical Physics math.MP

Abstract

In this note we show that the random homological product code construction of Bravyi and Hastings can be extended to qudits of dimension D with D an odd prime. While the result is not surprising, the proof does require new ideas.

Cite

@article{arxiv.1505.07787,
  title  = {Qudit homological product codes},
  author = {Máté Farkas and Péter Vrana},
  journal= {arXiv preprint arXiv:1505.07787},
  year   = {2019}
}

Comments

11 pages. v2: Minor corrections. v3: Added example, close to published version

R2 v1 2026-06-22T09:43:20.356Z