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Inverse Design of Unitary Transmission Matrices in Silicon Photonic Coupled Waveguide Arrays Using a Neural Adjoint

Thomas W Radford1, Peter R Wiecha2, Alberto Politi1

  • 1School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, United Kingdom.

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We developed a new method using neural networks to design integrated optical devices. This platform enables programmable unitary operations for applications like quantum computing and optical neural networks.

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Area of Science:

  • Integrated photonics
  • Quantum computing
  • Optical neural networks

Background:

  • Low-loss reconfigurable integrated optical devices are crucial for advancing photonic signal processing, analogue quantum computing, and optical neural networks.
  • Designing these devices requires computationally intensive inverse design protocols to determine optimal geometries for specific optical outputs.

Purpose of the Study:

  • To introduce a novel platform for implementing unitary matrix operations using digital patterning of coupled waveguide arrays.
  • To present a robust and versatile inverse design protocol for predicting device geometries.

Main Methods:

  • Utilizing high-speed neural network surrogate-based gradient optimization.
  • Predicting refractive index perturbations based on switching the chalcogenide phase change material, antimony triselinide (Sb2Se3).
  • Applying data set augmentation and random noise supplementation for neural network optimization.

Main Results:

  • Demonstrated control of both amplitude and phase for each transmission matrix element in a 3x3 silicon waveguide array.
  • Achieved an average fidelity of 0.94 for unitary matrix targets.
  • Showcased programmable unitary operators with a reduced footprint compared to conventional technologies.

Conclusions:

  • Coupled waveguide arrays with digital perturbation patterns offer a new pathway for creating programmable unitary operators.
  • This approach is suitable for developing compact Hamiltonians for quantum simulators.
  • The developed inverse design protocol enhances the design process for complex integrated optical devices.