Stabilizer Formalism for Generalized Concatenated Quantum Codes

被引：0

作者：

Wang, Yun-Jiang ^{[1
,2
]}

Zeng, Bei ^{[3
]}

Grassl, Markus ^{[4
]}

Sanders, Barry C. ^{[1
]}

机构：

[1] Univ Calgary, Inst Quantum Sci & Technol, Calgary, AB T2N 1N4, Canada

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

[3] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada

[4] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

来源：

2013 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT) | 2013年

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The concept of generalized concatenated quantum codes (GCQC) provides a systematic way for constructing good quantum codes from short component codes. We introduce a stabilizer formalism for GCQCs, which is achieved by defining quantum coset codes. This formalism offers a new perspective for GCQCs and enables us to derive a lower bound on the code distance of stabilizer GCQCs from component codes parameters, for both non-degenerate and degenerate component codes. Our formalism also shows how to exploit the error-correcting capacity of component codes to design good GCQCs efficiently.

引用

页码：529 / +

页数：2

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