Robust Geometrical Dimensions in Uniform Directional Couplers

Integrated photonics, a scalable platform for optical networks, sensors, and circuits, has experienced exponential growth. Over the past decade, these platforms have been increasingly harnessed for the emerging field of quantum integrated photonics. However, fabrication tolerances, such as waveguide width, wafer height variations, and sensitivity to temperature changes, significantly impact their robustness and performance. In this work, we identify and analyze stationary geometrical dimensions of directional couplers that enhance tolerance to such variations. Through theoretical predictions and experimental validation, we investigate the behavior of these robust dimensions under changes in refractive index, waveguide height, wavelength, and inter-waveguide distance. We experimentally demonstrate the efficiency of these stationary geometrical dimensions in a single-coupler design and subsequently utilize them to fabricate a quantum two-photon controlled-NOT (CNOT) gate. The CNOT gate achieves an improved mean fidelity, as compared to a CNOT gate fabricated at a different arbitrary design point. This discovery highlights the potential of stationary geometrical dimensions for robust, high-performance photonic circuits and paves the way for new, resilient configurations in quantum technologies.