A Note on Hierarchy of Quantum Measurement Incompatibilities

Bao-Zhi Sun, Zhi-Xi Wang, Xianqing Li-Jost, and Shao-Ming Fei

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Submission date: 02. Feb. 2020
Pages: 13
published in: Entropy, 22 (2020) 2, art-no. 161 
DOI number (of the published article): 10.3390/e22020161
Bibtex
with the following different title: A note on the hierarchy of quantum measurement incompatibilities
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Abstract:
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 n members. Detailed examples are given to the incompatibility for unbiased qubit measurements based on semidefinite programm.