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arXiv · 2001.11326

A Note on Hierarchy of Quantum Measurement Incompatibilities

Bao-Zhi Sun·Zhi-Xi Wang·Xianqing Li-Jost·Shao-Ming Fei
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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.

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Bao-Zhi Sun, Zhi-Xi Wang, Xianqing Li-Jost, Shao-Ming Fei. 2020-01-30. A Note on Hierarchy of Quantum Measurement Incompatibilities. https://doi.org/10.3390/e22020161

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