A Note on Hierarchy of Quantum Measurement Incompatibilities

• URL: http://arxiv.org/abs/2001.11326v2
• Date: Fri, 31 Jan 2020 08:58:09 GMT
• Title: A Note on Hierarchy of Quantum Measurement Incompatibilities
• Authors: Bao-Zhi Sun, Zhi-Xi Wang, Xianqing Li-Jost, Shao-Ming Fei
• Abstract summary: Quantum measurement incompatibility is a distinctive feature of quantum mechanics. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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