New quantum surface codes from semi-regular tessellations

被引：1
|
作者：
da Silva, Eduardo Brandani [1 ]
Brizola, Evandro Mazetto [1 ]
Soares Jr, Waldir Silva [2 ]
Copatti, Douglas Fernando [3 ]
机构：
[1] Univ Estadual Maringa, Maringa State Univ, Dept Math, Ave Colombo 5790, BR-87020900 Maringa, PR, Brazil
[2] Univ Tecnol Fed Parana UTFPR, Dept Math, Campus Pato Branco,Via Conhecimento,s-n-KM 01 Frar, BR-85503390 Pato Branco, PR, Brazil
[3] Inst Fed Parana Campus Pitanga, Dept Math, Rua Jose Alencar,1-080 Vila, BR-85200000 Pitanga, PR, Brazil
来源：
QUANTUM INFORMATION PROCESSING | 2023年 / 22卷 / 11期
关键词：
Quantum codes; Surface codes; Semi-regular tessellations; Uniform tiling; TORSION FREE SUBGROUPS; FUCHSIAN-GROUPS;
D O I：
10.1007/s11128-023-04147-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Current work presents a new approach to quantum surface codes on compact surfaces with genus g >= 2 using the identification of these surfaces with hyperbolic polygons and hyperbolic semi-regular tessellations. This method generalizes other contructions, and we show that this approach may give rise to codes with very good parameters. We present tables with several examples of these codes whose parameters had not been shown before.
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页数：32
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