论文标题
低温和高温测量应用程序下的弹翼矩阵的错误分析
Error analysis of bit-flip qubits under random telegraph noise for low and high temperature measurement application
论文作者
论文摘要
在随机电报噪声（RTN）下，在量子计算和量子误差校正中的潜在应用中，实现量子门操作的小误差非常有趣。我计算在RTN存在下由$π$，尸体，蝎子，对称和不对称脉冲驱动的Qubit中产生的误差。对于特殊情况，当脉冲在x方向上作用和z方向RTN时，我发现对于少量噪声相关时间，$π$ -Pulse在所有其他脉冲中都有较小的误差。对于大量噪声相关时间（可能是白噪声），对称脉冲对于小能量的噪声强度振幅会产生小误差，而尸体脉冲对于较大的噪声强度的大能量振幅较小。对于在所有三个方向上作用的脉冲，都鉴定出几个脉冲序列，这些脉冲序列在RTN的能量幅度幅度较小的情况下会产生较小的误差。更确切地说，当$π$脉冲朝X方向起作用时，尸体脉冲朝y方向起作用，蝎子脉冲以z方向起作用，那么此类脉冲序列会引起小错误，并且可以考虑更好地候选位flip量子误差校正。 RTN的小能量振幅的误差分析可能有助于低温测量值，而RTN的大能量幅度的误差分析对于量子误差校正代码的室温测量可能有用。
Achieving small error for qubit gate operations under random telegraph noise (RTN) is of great interest for potential applications in quantum computing and quantum error correction. I calculate the error generated in the qubit driven by $π$, CORPSE, SCORPSE, symmetric and asymmetric pulses in presence of RTN. For a special case when pulse acts in x-direction and RTN in z-direction, I find that for small value of noise correlation time, $π$-pulse has small error among all the other pulses. For large value of noise correlation time, possibly white noise, symmetric pulse generates small error for small energy amplitudes of noise strength, whereas CORPSE pulse has small error for large energy amplitudes of noise strength. For the pulses acting in all the three directions, several pulse sequences were identified that generate small error in presence of small and large strength of energy amplitudes of RTN. More precisely, when $π$ pulse acts in x direction, CORPSE pulse acts in y direction and SCORPSE pulse acts in z-direction then such pulse sequences induces small error and may consider for better candidate in implementing of bit-flip quantum error correction. Error analysis of small energy amplitudes of RTN may be useful for low temperature measurements, whereas error analysis of large energy amplitudes of RTN may be useful for room temperature measurements of quantum error correction codes.
