Triorthogonal Codes and Self-dual Codes
Information Theory
2024-08-20 v1 math.IT
Quantum Physics
Abstract
Triorthogonal matrices were introduced in Quantum Information Theory in connection with distillation of magic states (Bravyi and Haah (2012)). We give an algorithm to construct binary triorthogonal matrices from binary self-dual codes. Further, we generalize to this setting the classical coding techniques of shortening and extending. We also give some simple propagation rules.
Cite
@article{arxiv.2408.09685,
title = {Triorthogonal Codes and Self-dual Codes},
author = {Minjia Shi and Haodong Lu and Jon-Lark Kim and Patrick Sole},
journal= {arXiv preprint arXiv:2408.09685},
year = {2024}
}
Comments
21 pages