A Note on Hierarchy of Quantum Measurement Incompatibilities

31 Jan 2020  ·  Sun Bao-Zhi, Wang Zhi-Xi, Li-Jost Xianqing, Fei Shao-Ming ·

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. read more

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Quantum Physics