  Chiral coupling, which allows directional interactions between quantum dots
(QDs) and photonic crystal waveguide modes, holds promise for enhancing the
functionality of quantum photonic integrated circuits. Elliptical polarizations
of QD transitions offer a considerable enhancement in directionality. However,
in epitaxial QD fabrication, the lack of precise control over lateral QD
positions still poses a challenge in achieving efficient chiral interfaces.
Here, we present a theoretical analysis in which we propose to optimize the
polarization of a QD emitter against the spatially averaged directionality and
demonstrate that the resulting emitter offers a considerable technological
advantage in terms of the size and location of high-directionality areas of the
waveguide as well as their overlap with the regions of large Purcell
enhancement, thereby improving the scalability of the device. Moreover, using
$\mathbf{\mathit{k}}\cdot\mathbf{\mathit{p}}$ modeling, we demonstrate that the
optimal elliptical polarization can be achieved for neutral exciton transitions
in a realistic QD structure. Our results present a viable path for efficient
chiral coupling in QD-based photonic integrated circuits, to a large extent
overcoming the challenges and limitations of the present manufacturing
technology.
