量子电子学报, 2013, 30 (6): 752, 网络出版: 2013-12-04
基于隐形传态的量子稳定子码容错编码门构造方法研究
Construction method of quantum fault-tolerant encoded gates of stabilizer code based on teleportation
量子物理 容错编码门 稳定子码 隐形传态 开销 quantum physics fault-tolerant encoded gate stabilizer code teleportation overhead
摘要
基于隐形传态提出一种稳定子码量子容错编码门的构造方法。 隐形传态构造法是通过对隐形传递 得到的编码态执行假想的编码门,然后将该假想门往前移,使得编码门构造的困难减小到仅容错制备一个 特殊辅助态即可。以编码Hadamard门,编码相位门为例详述了该方法的实现过程,并通过数值分析验证了 隐形传态构造法的正确性。最后,计算各编码门的构造开销,并与文献[16]中的编码门构造方法相比较, 结果表明隐形传态法下,编码H门的物理量子门减少了60n个,辅助块|0>和|Cat>各减少了5个; 编码P门的物理量子门减少了16n个,辅助块|0>减少了1个, |Cat>减少了2个。
Abstract
A novel constructing quantum fault-tolerant encoded gates method was proposed based on teleportation for the general stabilizer code. The quantum teleportation was used to get the teleported code and the imaginary encoded gate was applied to the teleported code, then move it forward, so the difficulty to construct encoded gate can be reduced to prepare a special ancillary state. The encoded Hadamard gate and phase gate were selected as examples to explain the constructing procedure, and the numerical analysis verifies that the method is valid. The results show that under the teleportation method, encoded H gate decreases 60n physical quantum gates, 5 encoded block |0> and 5 ancilla block |Cat>, and encoded P gate decreases 16n physical quantum gates, 1 encoded block |0> and 2 ancilla block |Cat> when compared with the overhead in reference [16].
王岩岩, 刘莹, 赵生妹. 基于隐形传态的量子稳定子码容错编码门构造方法研究[J]. 量子电子学报, 2013, 30(6): 752. WANG Yan-yan, LIU Ying, ZHAO Sheng-mei. Construction method of quantum fault-tolerant encoded gates of stabilizer code based on teleportation[J]. Chinese Journal of Quantum Electronics, 2013, 30(6): 752.