摘要：

针对量子零错信道缺乏有效编码方案的问题,基于量子五符号混淆信道模型的特点和矩阵论的相关理论,提出一种结合量子叠加态零错编码五符号混淆信道的编码方法。利用量子叠加态与向量之间以及信道与矩阵之间的同构关系进行零错编码,以提高信道容量并降低算法复杂度。分析结果表明,相比经典混淆信道编码方法,该方法具有更高的信道容量和编码效率。

关键词: 量子零错信道编码, 同构, 量子叠加态, 五符号混淆信道, 系数矩阵, 秩

Abstract:

In view of the lack of effective coding schemes for quantum zero-error channel,based on the characteristics of quantum five-symbol confusion channel model and the theory of matrix theory,a coding method of five-symbol confusion channel combining quantum superposition state zero-error coding is proposed.In order to improve the channel capacity and reduce the algorithm complexity,zero-error coding is performed by using the isomorphism relationship between quantum superposition states and vectors and between channels and matrices.Analysis results show that this method has higher channel capacity and coding efficiency than the classical confusion channel coding method.

Key words: quantum zero-error channel coding, isomorphism, quantum superposition, five-symbol confusion channel, coefficient matrix, rank

中图分类号: 

• TP393