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量子通信是经典通信和量子力学相结合的一门新兴交叉学科.量子纠错编码是实现量子通信的关键技术之一.构造量子纠错编码的主要方法是借鉴经典纠错编码技术,许多经典的编码技术在量子领域中都可以找到其对应的编码方法.针对经典纠错码中最好码之一的Turbo乘积码,提出一种以新构造的CSS型量子卷积码为稳定子码的量子Turbo乘积码.首先,运用群的理论及稳定子码的基本原理构造出新的CSS型量子卷积码稳定子码生成元,并描述了其编码网络.接着,利用量子置换SWAP门定义推导出量子Turbo乘积码的交织编码矩阵.最后,推导出量子Turbo乘积码的译码迹距离与经典Turbo乘积码的译码距离的对应关系,并提出量子Turbo乘积码的编译码实现方案.这种编译码方法具有高度结构化,设计思路简单,网络易于实施的特点.
Quantum communication is one of the emerging interdisciplinary of the combination of classical communication and quantum mechanics.Quantum error correction coding is one of the key technologies to achieve quantum communication.Construction of quantum error correction coding is the main method of classical error correction coding technology, many classic Coding technique can find its corresponding coding method in quantum field.Aiming at the Turbo product code which is one of the best codes in the classical error correction code, a new type of quantum code Turbo product code.Firstly, based on the theory of group and the basic principle of stable subcode, a new CSS quantum confluence code stable subcode generator was constructed and its coding network was described.Secondly, the quantum substitution SWAP gate definition was used to derive Quantum Turbo product code.Finally, we deduce the relationship between the decoding distance of the quantum Turbo product code and the decoding distance of the classical Turbo product code, and put forward the scheme to realize the coding and decoding of the quantum Turbo product code. The code method has the characteristics of highly structured, simple design and easy implementation of the network.