北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2008, Vol. 31 ›› Issue (6): 121-124.doi: 10.13190/jbupt.200806.121.204

• 研究报告 • 上一篇    下一篇

CSS型量子卷积码的编译码方法

邢莉娟1,李 卓1,王新梅1,张林让2   

  1. (1. 西安电子科技大学 综合业务网国家重点实验室,西安 710071;
    2. 西安电子科技大学 雷达信号处理国家重点实验室,西安 710071)
  • 收稿日期:2008-01-08 修回日期:2008-09-09 出版日期:2008-12-31 发布日期:2008-12-31
  • 通讯作者: 邢莉娟

Encoding and Decoding of CSS-type Quantum Convolution Codes

XING Li-juan1, LI Zhuo1, WANG Xin-mei1, ZHANG Lin-rang2   

  1. (1. State Key Lab of Integrated Service Networks, Xidian University, Xi’an 710071, China
    2. National Lab of Rader Signal Processing, Xidian University, Xi’an 710071, China)
  • Received:2008-01-08 Revised:2008-09-09 Online:2008-12-31 Published:2008-12-31
  • Contact: XING Li-juan

摘要:

定义了量子态的多项式表示形式,根据Calderbank-Shor-Steane(CSS)型量子码的构造方法,给出了CSS型量子卷积码的一种新的编译码方法,描述了编译码网络. 该方法将码字基态变换为信息多项式与生成多项式的乘积,然后用量子态上的多项式乘法操作实现编译码网络. 这种编译码方法高度结构化,思路简单,网络易于实现.

关键词: CSS型量子卷积码, 编译码, 多项式乘法, 循环移位

Abstract:

The polynomial representation of a quantum state is defined. Based on the Calderbank-Shor-Steane(CSS)- type construction of quantum codes, a new method for encoding and decoding of CSS-type quantum convolution codes is presented. Its corresponding networks are also described. The basis state of the code is transformed into the multiplication of an information polynomial by the generator polynomial. Then networks can be realized with operations of polynomial multiplication. The simple method possesses a highly regular structure, and the networks are easy to realize.

Key words: CSS-type quantum convolutional codes, encoding and decoding, polynomial multiplication, cyclic shifting

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