  Adapting a recent work of Brannan et al., on extending graph $C^*$-algebras
to Quantum graphs, we introduce "Quantum Quivers" as an analogue of quivers
where the edge and vertex set has been replaced by a $C^*$-algebra and the maps
between the sets by $*$-homomorphisms. Additionally, we develop the theory
around these structures and construct a notion of Leavitt path algebra over
them and also compute the monoid of finitely generated projective modules over
this class of algebras.
