Universal convolution from wave dynamics: photonic processing and encryption in synthetic dimension

Fuente: arXiv
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Autores principales: Su, Xiaolong, Liu, Weiwei, Cheng, Ruiqian, Zhang, Haoru, Guo, Xinyao, Huang, He, Qin, Chengzhi, Lu, Peixiang, Wang, Bing
Formato: Preprint
Publicado: 2025
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author Su, Xiaolong
Liu, Weiwei
Cheng, Ruiqian
Zhang, Haoru
Guo, Xinyao
Huang, He
Qin, Chengzhi
Lu, Peixiang
Wang, Bing
author_facet Su, Xiaolong
Liu, Weiwei
Cheng, Ruiqian
Zhang, Haoru
Guo, Xinyao
Huang, He
Qin, Chengzhi
Lu, Peixiang
Wang, Bing
contents Convolution, a cornerstone of signal processing and optical neural networks, has traditionally been implemented by mapping mathematical operations onto complex hardware. Here, we overcome this challenge by revealing that wave dynamics in translation-symmetric lattices intrinsically performs convolution, with the dispersion relation uniquely defining the complex-valued kernel. Leveraging this universal principle, we develop a convolutional architecture of minimal complexity through wave evolution in programmable photonic synthetic lattices, delivering high-throughput, multifunctional capabilities at a rate of 13.5 tera-operations per second (TOPS) for image processing. Beyond convolution acceleration, the kernel's complex nature facilitates the photonic simulation of both irreversible diffusion and reversible unitary quantum dynamics under classical incoherent excitation. Capitalizing on the physics-based reversibility and undetectable phase information, we demonstrate a novel convolution-driven optical encryption strategy. This work establishes a unified framework for photonic computing by grounding convolution in wave dynamics, opening avenues toward scalable, multifunctional photonic processors with high integration potential.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22426
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Universal convolution from wave dynamics: photonic processing and encryption in synthetic dimension
Su, Xiaolong
Liu, Weiwei
Cheng, Ruiqian
Zhang, Haoru
Guo, Xinyao
Huang, He
Qin, Chengzhi
Lu, Peixiang
Wang, Bing
Optics
Convolution, a cornerstone of signal processing and optical neural networks, has traditionally been implemented by mapping mathematical operations onto complex hardware. Here, we overcome this challenge by revealing that wave dynamics in translation-symmetric lattices intrinsically performs convolution, with the dispersion relation uniquely defining the complex-valued kernel. Leveraging this universal principle, we develop a convolutional architecture of minimal complexity through wave evolution in programmable photonic synthetic lattices, delivering high-throughput, multifunctional capabilities at a rate of 13.5 tera-operations per second (TOPS) for image processing. Beyond convolution acceleration, the kernel's complex nature facilitates the photonic simulation of both irreversible diffusion and reversible unitary quantum dynamics under classical incoherent excitation. Capitalizing on the physics-based reversibility and undetectable phase information, we demonstrate a novel convolution-driven optical encryption strategy. This work establishes a unified framework for photonic computing by grounding convolution in wave dynamics, opening avenues toward scalable, multifunctional photonic processors with high integration potential.
title Universal convolution from wave dynamics: photonic processing and encryption in synthetic dimension
topic Optics
url https://arxiv.org/abs/2511.22426