  The prepare-and-measure theory is a new type of quantum paradox that reveals
the incompatibility between classical theory and quantum mechanics in terms of
the dimensionality of physical systems.Just as the Horodecki criterion can
determine whether given quantum states are capable of exhibiting Bell
nonclassicality, a similar criterion is needed for the prepare-and-measure
theory to determine whether given uantum states can exhibit the
prepare-and-measure nonclassicality. Recently, Poderini et al. [Phys. Rev.
Research 2, 043106 (2020)] presented such a criterion for the
prepare-and-measure nonclassicality. In this work, we experimentally validate
this criterion -- 52 different sets of quantum states are prepared and tested
one by one using this criterion to determine whether they can exhibit the
prepare-and-measure nonclassicality, and the experimental results are in good
agreement with the theoretical expectations. The criterion experimentally
verified here has the potential to be widely used in future research on the
prepare-and-measure nonclassicality.
