  Establishing the hybrid entanglement among a growing number of matter and
photonic quantum bits is necessary for the scalable quantum computation and
long distance quantum communication. Here we demonstrate that charged excitonic
complexes forming in strongly correlated quantum dot molecules are able to
generate tripartite hybrid entanglement under proper carrier quantization. The
mixed orbitals of the molecule construct multilevel ground states with sub-meV
hole tunneling energy and relatively large electron hybridization energy. We
show that appropriate size and interdot spacing maintains the electron particle
weakly localized, opening extra recombination channels by correlating
ground-state excitons. This allows for creation of higher order entangled
states. Nontrivial hole tunneling energy, renormalized by the multi-particle
interactions, facilitates realizing the energy coincidence among only certain
components of the molecule optical spectrum. This translates to the emergence
of favorable spectral components in a multi-body excitonic complex which
sustain principal oscillator strengths throughout the electric-field-induced
hole tunneling process. We particularly analyse whether the level broadening of
favorable spin configurations could be manipulated to eliminate the
distinguishability of photons.
