Remarks on Clifford codes
量子物理
2023-11-27 v1 新兴技术
摘要
Clifford codes are a class of quantum error control codes that form a natural generalization of stabilizer codes. These codes were introduced in 1996 by Knill, but only a single Clifford code was known, which is not already a stabilizer code. We derive a necessary and sufficient condition that allows to decide when a Clifford code is a stabilizer code, and compile a table of all true Clifford codes for error groups of small order.
引用
@article{arxiv.quant-ph/0312228,
title = {Remarks on Clifford codes},
author = {Andreas Klappenecker and Martin Roetteler},
journal= {arXiv preprint arXiv:quant-ph/0312228},
year = {2023}
}
备注
10 pages; submitted to Quantum Information and Computation