定义了一类特殊的量子稳定子码,其稳定子的相位因子全为1,并且位翻转部分构成循环码.这类码包含了重要的CSS码类.提出了针对这类码的编译码方法.编码时,首先制备一个全零态的编码态,然后由待编码态进行控制操作,得到任意态的编码态.译码时,只需逆向执行编码过程,得到译码输出和全零编码态.由译码得到的全零编码态可以直接用于下一次的编码.由于该方法的复杂性主要来自于全零编码态的制备,这样就极大地简化了编译码过程,同时使得该方法高度结构化.
A family of special quantum stabilizer codes is defined with the property that in the stabilizer all phases are 1 and the part of bit-flip is cyclic, which includes well-known CSS codes. Its encoding and decoding are present. The encoding process needs an encoded 0 state to begin with. Then any encoded state can be obtained by control of the logical state. Decoding could be performed by running the encoding process backwards with the output of the encoded 0 state besides the desired logical state. This encoded 0 state can be used in the next encoding directly, which simplifies encoding and decoding greatly because the complexity of this method lies in producing the encoded 0 state. These processes possess a highly regular structure.