  Single photon sources (SPS) based on semiconductor quantum dot (QD) platforms
are restricted to low temperature (T) operation due to the presence of strong
dephasing processes. Despite the integration of QD in optical cavities provides
an enhancement of its emission properties, the technical requirements for
maintaining high indistinguishability (I) at high T are beyond the state of the
art. Recently, new theoretical approaches have shown promising results by
implementing two-dipole-coupled-emitter systems. Here, we have developed a
theory to estimate I in a two-emitter system with strong dephasing coupled to a
photonic cavity. We have obtained an analytical expression for I that predicts
the cavity restrictions depending on the distance between the emitters.
Furthermore, we develop an alternative interpretation of I which provide
insigths for systems with a larger number of emitters. We find the optimal
configuration for maximum I in the case of a five-emitter system using a
machine-learning optimization procedure which models the Lindblad equation and
provides the optimal position of each emitter to maximize I. The optimized
configuration provides perfect I while relaxes the cavity requirements to more
experimentally accessible values.
