A Class of Cyclic Quantum Codes
Quantum Physics
2025-10-21 v2
Abstract
We introduce a class of cyclic quantum codes, basing the construction not on the simplicity of the stabilizers, but rather on the simplicity of preparation of a code state (at least in the absence of noise). We show how certain known codes, such as a certain family of rotated two-dimensional toric codes, fall into this class, and we also give certain other examples at small sizes found by computer search. We finally discuss fault tolerant preparation of these codes.
Cite
@article{arxiv.2509.06865,
title = {A Class of Cyclic Quantum Codes},
author = {Matthew B. Hastings},
journal= {arXiv preprint arXiv:2509.06865},
year = {2025}
}
Comments
5 pages, no figures