具有珍珠项链结构的量子稳定子卷积码

Quantum stabilizer convolutional code with pearl-necklace structure

阐述了量子和经典编码之间的关系,基于稳定子码的概念提供了一个高效的多项式来描述稳定子码,通过给定的生成元计算出其标准型。将传统的量子分组码的编码方法扩展到量子卷积码领域,根据量子电路的优化准则转换成具有高度结构化、电路易于实现的珍珠项链结构,避免了灾难性错误的传播,简化了量子编码最小存储的计算。

The relationship between quantum and classical coding is introduced, and an efficient polynomial is provided to describe the stabilizer codes. Its standard is calculated to generate quantum convolutional codes. Then the method based on classic quantum coding is applied to the realm of convolutional codes. It is converted into a pearl-necklace structure according to the optimization criterion of quantum circuit. The circuit of the structure is easy to implement, which can avoid the catastrophic error propagation, and simplify the calculation of quantum coding minimum storage.