  Discussions about quantum interference, indistinguishability and superpostion
between quantum states goes back to the beginning of quantum mechanics, but the
theoretical problem concerning quantitative measures for quantum coherence was
only recently solved by Baumgratz et al. [Phys. Rev. Lett. 113 140401 (2014)].
Since then many works have explored one of the possible coherence measures, the
l1 norm, which has not yet been experimentally obtained for spatial photonic
states in high dimensions. In this article we study states prepared with
photons crossing multiple slits and implement the theoretical proposal of T.
Paul and T. Qureshi [ Phys. Rev. A 95 042110 (2017)] to determine
experimentally the l1 norm of qutrit states. We analyze the method validity and
present an alternative for states in which one of their assumptions does not
apply. We also discuss the requirements necessary for using an interference
pattern for measuring quantum coherence of qudits by treating the
measure-operator that describe the detection optical configuration as
path-markers, relating them with the quantum coherence determination.
