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

Fuente: arXiv
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Hauptverfasser: Fldzhyan, S. A., Saygin, M. Yu., Straupe, S. S.
Format: Preprint
Veröffentlicht: 2024
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author Fldzhyan, S. A.
Saygin, M. Yu.
Straupe, S. S.
author_facet Fldzhyan, S. A.
Saygin, M. Yu.
Straupe, S. S.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_00669
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Low-depth, compact and error-tolerant photonic matrix-vector multiplication beyond the unitary group
Fldzhyan, S. A.
Saygin, M. Yu.
Straupe, S. S.
Optics
Quantum Physics
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.
title Low-depth, compact and error-tolerant photonic matrix-vector multiplication beyond the unitary group
topic Optics
Quantum Physics
url https://arxiv.org/abs/2408.00669