论文标题

非高斯噪声对自动相关弱价扩增的影响

The Effect of Non-Gaussian Noise on Auto-correlative Weak-value Amplification

论文作者

Hu, Xiang-Yun, Huang, Jing-Hui, He, Fei-Fan, Wang, Guang-Jun, Dada, Adetunmise C.

论文摘要

准确了解噪声的光谱特征及其对开放量子系统的影响是定量理解和预测现实环境中动态的基础。对于两级系统的弱测量值,从实验获得的弱值将不可避免地受到环境噪声的影响。在我们较早的研究在高斯噪声环境下进行自动相关弱值放大(AWVA)方法的技术之后,我们在这里研究了非高斯噪声对AWVA技术的影响。尤其是两种类型的噪声,具有负面的DB信号与噪声比率,频率状态噪声和频率噪声和频率噪声。通过将高斯白噪声和不同的带通滤波器转换,在Simulink中产生了各种频场噪声,包括低频(1/F)噪声,中频噪声和高频噪声。虽然研究了冲动噪声作为频率不固定噪声的示例。我们的模拟结果表明,1/f噪声和冲动噪声对AWVA测量值有更大的干扰。此外,添加一种频率平台的噪声,夹紧检测到的信号并主导测量范围可能有可能提高AWVA技术的精度,而在存在许多敌对的非高斯噪声的情况下,平均值的偏差较小,并且较小的误差栏也较小。

Accurate knowledge of the spectral features of noise and their influence on open quantum systems is fundamental for quantitative understanding and prediction of the dynamics in a realistic environment. For the weak measurements of two-level systems, the weak value obtained from experiments will inevitably be affected by the noise of the environment. Following our earlier work on the technique of the auto-correlative weak-value amplification (AWVA) approach under a Gaussian noise environment, here we study the effect of non-Gaussian noise on the AWVA technique.In particular, two types of noise with a negative-dB signal-to-noise ratio, frequency-stationary noises and frequency-nonstationary noises are studied. The various frequency-stationary noises, including low-frequency (1/f) noises, medium-frequency noises, and high-frequency noises, are generated in Simulink by translating the Gaussian white noise with different band-pass filters. While impulsive noise is studied as an example of frequency-non stationary noises. Our simulated results demonstrate that 1/f noises and impulsive noises have greater disturbance on the AWVA measurements. In addition, adding one kind of frequency-stationary noise, clamping the detected signals, and dominating the measurement range may have the potential to improve the precision of the AWVA technique with both a smaller deviation of the mean value and a smaller error bar in the presence of many hostile non-Gaussian noises.

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