Sun Bao-Zhi, Wang Zhi-Xi, Li-Jost Xianqing, Fei Shao-Ming
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China.
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China.
Entropy (Basel). 2020 Jan 30;22(2):161. doi: 10.3390/e22020161.
The quantum measurement incompatibility is a distinctive feature of quantum mechanics. We investigate the incompatibility of a set of general measurements and classify the incompatibility by the hierarchy of compatibilities of its subsets. By using the approach of adding noises to measurement operators, we present a complete classification of the incompatibility of a given measurement assemblage with members. Detailed examples are given for the incompatibility of unbiased qubit measurements based on a semidefinite program.
量子测量不相容性是量子力学的一个显著特征。我们研究了一组一般测量的不相容性，并根据其子集相容性的层次对不相容性进行分类。通过对测量算子添加噪声的方法，我们给出了具有n个成员的给定测量集合不相容性的完整分类。基于半定规划给出了无偏量子比特测量不相容性的详细例子。
