Fragmented Topological Excitations in Generalized Hypergraph Product Codes

Meng-Yuan Li, Yue Wu · 2026 · arXiv 2026

| 编号 QE147 | 主题 qLDPC 码 | 链接 arXiv:2601.09850 |

摘要

摘要保留原文(英文)

摘要取自 arXiv / 出版方元数据,未作翻译,以保证与原文一致。

Product code construction is a powerful tool for constructing quantum stabilizer codes, which serve as a promising paradigm for realizing fault-tolerant quantum computation. Furthermore, the natural mapping between stabilizer codes and the ground states of exactly solvable spin models also motivates the exploration of many-body orders in the stabilizer codes. In this work, we investigate the fracton topological orders in a family of codes obtained by a recently proposed general construction. More specifically, this code family can be regarded as a class of generalized hypergraph product (HGP) codes. We term the corresponding exactly solvable spin models \textit{orthoplex models}, based on th

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