论文标题
用实验噪声扭曲的纯状态的纯状态量子断层扫描
Quantum Tomography of Pure States with Projective Measurements Distorted by Experimental Noise
论文作者
论文摘要
本文根据光子计数从投影测量中提出了纯状态估计的问题。考虑了两个用于Qubit层析成像的通用帧 - 一个由SIC-POVM的元素组成，另一个由互无偏基（MUB）的向量定义的元素组成。这两个帧与最小二乘的方法结合在一起，以重建具有不完美测量值的输入量子位样品。每个帧的准确性通过平均忠诚度和纯度来量化。比较和讨论框架的效率。该方法可以推广到较高维状态，并转移到出现复杂矢量问题的其他领域。
The article undertakes the problem of pure state estimation from projective measurements based on photon counting. Two generic frames for qubit tomography are considered -- one composed of the elements of the SIC-POVM and the other defined by the vectors from the mutually unbiased bases (MUBs). Both frames are combined with the method of least squares in order to reconstruct a sample of input qubits with imperfect measurements. The accuracy of each frame is quantified by the average fidelity and purity. The efficiency of the frames is compared and discussed. The method can be generalized to higher-dimensional states and transferred to other fields where the problem of complex vectors reconstruction appears.
