A Note on the Hierarchy of Quantum Measurement Incompatibilities

A Note on the Hierarchy of Quantum Measurement Incompatibilities

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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 4 Piece Sectional 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 for the Console Board Connector incompatibility of unbiased qubit measurements based on a semidefinite program.