Quantum Weight Enumerators for Real Codes with $X$ and $Z$ Exactly Transversal
Quantum Physics
2024-02-13 v2
Abstract
In this note we show that the weight enumerators of a real quantum error correcting code with and exactly transversal must satisfy certain identities. One consequence of these identities is that if the code is error detecting then it is automatically error correcting for free; implying a relationship between transversality and code distance.
Keywords
Cite
@article{arxiv.2306.12526,
title = {Quantum Weight Enumerators for Real Codes with $X$ and $Z$ Exactly Transversal},
author = {Eric Kubischta and Ian Teixeira and J. Maxwell Silvester},
journal= {arXiv preprint arXiv:2306.12526},
year = {2024}
}
Comments
Corrected weight enumerators and removed an incorrect footnote