  The nonclassicality of quantum states is a fundamental resource for quantum
technologies and quantum information tasks in general. In particular, a pivotal
aspect of quantum states lies in their coherence properties, encoded in the
nondiagonal terms of their density matrix in the Fock-state bosonic basis. We
present operational criteria to detect the nonclassicality of individual
quantum coherences that only use data obtainable in experimentally realistic
scenarios. We analyze and compare the robustness of the nonclassical coherence
aspects when the states pass through lossy and noisy channels. The criteria can
be immediately applied to experiments with light, atoms, solid-state systems,
and mechanical oscillators, thus providing a toolbox allowing practical
experiments to more easily detect the nonclassicality of generated states.
