量子线路的级联运算

The Cascade Operation of Quantum Circuit

量子线路的级联运算是将量子线路分成逻辑单元并用矩阵相乘实现对输入态的一系列幺正变换的运算。通过研究量子线路的矩阵计算以及量子编码,利用矩阵的张量积形式,分析量子线路中量子门的矩阵表示及相关的逻辑运算规则,推导出量子线路的逻辑运算规则,并在此基础上,提出量子线路的级联运算规则,用实例验证了其规则的正确性,该理论对量子计算机的布尔逻辑运算具有重要的参考意义,可以实现任意量子线路的程序化逻辑运算。

The cascade operation of quantum line is the realization of a series of unitary transformation with matrix multiplication, This paper proposed the rules of logic operation with analysis on the matrix calculation of quantum circuit and the encoding of quantum network. At the same time, the conclusions of matrix representation on quantum gate were got through the analysis of Kroneeker product. Then, the cascade operation rules of quantum circuit were put forward. An example was used to verify the correctness of its rules. The theory has an important reference on Boolean logic operation of quantum computer and could realize all the programmed logical operations of quantumcircuit.