从 Bloch 球到采用 Gottesman-Kitaev-Preskill 编码的相空间表示
量子物理
2020-11-23 v2
摘要
在这项工作中，我们研究了利用 Gottesman-Kitaev-Preskill (GKP) 映射编码在连续变量 (CV) 中的量子比特态的 Wigner 相空间表示。我们探索了离散变量 (DV) 系统中通用量子计算资源（即非稳定子态）与 CV 架构中 Wigner 函数负性（量子优势的必要条件）之间可能的联系。特别地，我们表明，采用 GKP 映射编码在 CV 中的量子比特态的最低 Wigner 对数负性对应于编码的稳定子态，而最大负性与最非稳定子态（H 型和 T 型量子态）相关。
引用
@article{arxiv.1911.12346,
title = {From the Bloch sphere to phase space representations with the Gottesman-Kitaev-Preskill encoding},
author = {L. García-Álvarez and A. Ferraro and G. Ferrini},
journal= {arXiv preprint arXiv:1911.12346},
year = {2020}
}
备注
(v1) Accepted for publication in the Springer's "Mathematics for Industry" series. (v2) Typo in the abstract fixed; URL of the conference where the paper has been presented added: International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), held in September 2019 in Fukuoka, Japan (https://www.mqc2019.org/mqc2019/program)