Low-depth, compact and error-tolerant photonic matrix-vector multiplication beyond the unitary group

• URL: http://arxiv.org/abs/2408.00669v2
• Date: Sat, 31 Aug 2024 14:25:47 GMT
• Title: Low-depth, compact and error-tolerant photonic matrix-vector multiplication beyond the unitary group
• Authors: S. A. Fldzhyan, M. Yu. Saygin, S. S. Straupe,
• Abstract summary: We introduce a novel architecture of photonic circuits capable of implementing non-unitary transfer matrices. Our architecture exploits compact low-depth beam-splitter meshes rather than bulky fully connected mixing blocks. We have shown that photonic circuits designed with our architecture have lower depth than their standard counterparts and are extremely tolerant to hardware errors.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Large-scale programmable photonic circuits are opening up new possibilities for information processing providing fast and energy-efficient means for matrix-vector multiplication. Here, we introduce a novel architecture of photonic circuits capable of implementing non-unitary transfer matrices, usually required by photonic neural networks, iterative equation solvers or quantum samplers. Our architecture exploits compact low-depth beam-splitter meshes rather than bulky fully connected mixing blocks used in previous designs, making it more compatible with planar integrated photonics technology. We have shown that photonic circuits designed with our architecture have lower depth than their standard counterparts and are extremely tolerant to hardware errors.

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