Triorthogonal codes and self-dual codes

被引：0

作者：

Shi, Minjia ^{[1
,2
]}

Lu, Haodong ^{[1
,2
]}

Kim, Jon-Lark ^{[3
]}

Sole, Patrick ^{[4
]}

机构：

[1] Anhui Univ, Sch Math Sci Proc, Key Lab Intelligent Comp Signal, Minist Educ, Hefei 230601, Peoples R China

[2] Xidian Univ, State Key Lab integrated Serv Networks, Xian 710071, Peoples R China

[3] Sogang Univ, Dept Math, Seoul, South Korea

[4] Aix Marseille Univ, CNRS, Cent Marseille, I2M, Marseille, France

来源：

QUANTUM INFORMATION PROCESSING | 2024年 / 23卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Triorthogonal matrices; Self-dual codes; Propagation rules; Building up;

D O I：

10.1007/s11128-024-04485-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Triorthogonal matrices were introduced in quantum information theory in connection with distillation of magic states (Bravyi and Haah in Phys Rev A 86:052329, 2012). We give an algorithm to construct binary triorthogonal matrices from binary self-dual codes. Further, we generalize to this setting the classical coding techniques of shortening and extending. We also give some simple propagation rules.

引用

页数：24

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