In this work we present an algorithm of building an adequate model of polarizing quantum state measurement. This model takes into account chromatic aberration of the basis change transformation caused by the parasitic dispersion of the wave plates crystal and finite radiation spectral bandwidth. We show that the chromatic aberration reduces the amount of information in the measurements results. Using the information matrix approach we estimate the impact of this effect on the qubit state reconstruction fidelity for different values of sample size and spectral bandwidth. We also demonstrate that our model outperforms the standard model of projective measurements as it could suppress systematic errors of quantum tomography even when one performs the measurements using wave plates of high order.

中文翻译：

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量子变换色差条件下光偏振量子位的精确断层扫描

在这项工作中，我们提出了一种构建偏振量子态测量的适当模型的算法。该模型考虑了由波片晶体的寄生色散和有限辐射光谱带宽引起的基变变换的色差。我们表明色差减少了测量结果中的信息量。使用信息矩阵方法，我们估计了这种效应对不同样本大小和光谱带宽值的量子比特状态重建保真度的影响。我们还证明，我们的模型优于投影测量的标准模型，因为即使使用高阶波片进行测量，它也可以抑制量子断层扫描的系统误差。