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Bibliographic Details
Main Author: Hastings, Matthew B.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.06865
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Table of Contents:
  • 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.