Braided interferometer mesh for robust photonic matrix-vector multiplications with non-ideal components

TL;DR

This paper introduces a braided interferometer mesh architecture for photonic matrix-vector multiplication that offers enhanced robustness and stability over traditional designs, especially in large-scale and non-ideal conditions.

Contribution

The paper presents a novel braided interferometer design that outperforms existing architectures in robustness and stability, validated through numerical simulations under realistic non-idealities.

Findings

Braid architecture shows superior robustness under non-ideal conditions.

Performance improves with larger interferometer sizes.

Recent crossing technology reduces footprint and insertion loss.

Abstract

Matrix-vector multiplications (MVMs) are essential for a wide range of applications, particularly in modern machine learning and quantum computing. In photonics, there is growing interest in developing architectures capable of performing linear operations with high speed, low latency, and minimal loss. Traditional interferometric photonic architectures, such as the Clements design, have been extensively used for MVM operations. However, as these architectures scale, improving stability and robustness becomes critical. In this paper, we introduce a novel photonic braid interferometer architecture that outperforms both the Clements and Fldzhyan designs in these aspects. Using numerical simulations, we evaluate the performance of these architectures under ideal conditions and systematically introduce non-idealities such as insertion losses, beam splitter imbalances, and crosstalk. The results demonstrate that the braid architecture offers superior robustness due to its symmetrical design and reduced layer count. Further analysis shows that the braid architecture is particularly advantageous in large-scale implementations, delivering better performance as the size of the interferometer increases. We also assess the footprint and total insertion losses of each architecture. Although waveguide crossings in the braid architecture slightly increase the footprint and insertion loss, recent advances in crossing technology significantly minimize these effects. Our study suggests that the braid architecture is a robust solution for photonic neuromorphic computing, maintaining high fidelity in realistic conditions where imperfections are inevitable.