Beyond Stabilizer Codes I: Nice Error Bases
Quantum Physics
2023-11-27 v2 Emerging Technologies
Abstract
Nice error bases have been introduced by Knill as a generalization of the Pauli basis. These bases are shown to be projective representations of finite groups. We classify all nice error bases of small degree, and all nice error bases with abelian index groups. We show that in general an index group of a nice error basis is necessarily solvable.
Cite
@article{arxiv.quant-ph/0010082,
title = {Beyond Stabilizer Codes I: Nice Error Bases},
author = {Andreas Klappenecker and Martin Roetteler},
journal= {arXiv preprint arXiv:quant-ph/0010082},
year = {2023}
}
Comments
12 pages, LaTeX2e. Minor changes. Title changed by request of IEEE Trans. IT