Accurate Self-Configuration of Rectangular Multiport Interferometers

Abstract

Multiport interferometers based on integrated beamsplitter meshes are widely used in photonic technologies. While the rectangular mesh is favored for its compactness and uniformity, its geometry resists conventional self-configuration approaches, which are essential to programming large meshes in the presence of fabrication error. Here, we present a new configuration algorithm, related to the $2\times 2$ block decomposition of a unitary matrix, that overcomes this limitation. Our proposed algorithm is robust to errors, requires no prior knowledge of the process variations, and relies only on external sources and detectors. We show that self-configuration using this technique reduces the effect of fabrication errors by the same quadratic factor observed in triangular meshes. This relaxes a significant limit to the size of multiport interferometers, removing a major roadblock to the scaling of optical quantum and machine-learning hardware.

arXiv comment14 pages, 13 figures, 2 tables

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Cited by in corpus (11)

• Single chip photonic deep neural network with accelerated training
• Hardware error correction for programmable photonics
• Asymptotically Fault-Tolerant Programmable Photonics
• An Electro-Photonic System for Accelerating Deep Neural Networks
• Stability of Self-Configuring Large Multiport Interferometers
• Realistic quantum photonic neural networks
• Braided interferometer mesh for robust photonic matrix-vector multiplications with non-ideal components
• Integrated Photonic Programmable Random Matrix Generator with Minimal Active Components
• Near-optimal decomposition of unitary matrices using phase masks and the discrete Fourier transform
• Enhanced Hong-Ou-Mandel Manifolds and figures of merit for linear chains of identical micro-ring resonators
• Compactifying linear optical unitaries using multiport beamsplitters