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中文摘要：
对于量子卷积码理论的研究旨在保护长距离通信中的量子信息序列.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.最后借鉴经典卷积码的译码思想,给出了具有线性复杂度的量子Viterbi算法.
英文摘要：
The research on quantum convolutional codes is aimed at protecting a flow of information over long distance communications.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 convolutional codes is presented and corresponding networks are described.The basis state of the code is transformed into the product of an information polynomial by the generator polynomial.Then networks can be realized by operations of polynomial multiplication.Finally,inspired by classical convolutional decoding idea,a quantum Viterbi algorithm with linear complexity is put forward.
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