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A Note on Hierarchy of Quantum Measurement Incompatibilities

Quantum Physics 2020-02-03 v2

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 nn members. Detailed examples are given to the incompatibility for unbiased qubit measurements based on semidefinite programm.

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Cite

@article{arxiv.2001.11326,
  title  = {A Note on Hierarchy of Quantum Measurement Incompatibilities},
  author = {Bao-Zhi Sun and Zhi-Xi Wang and Xianqing Li-Jost and Shao-Ming Fei},
  journal= {arXiv preprint arXiv:2001.11326},
  year   = {2020}
}

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11pages,0 figures