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通过在高维空间中进行线性运算来执行光子非线性计算。

Performing photonic nonlinear computations by linear operations in a high-dimensional space.

作者信息

Zhang Wenkai, Gu Wentao, Cheng Junwei, Huang Dongmei, Cheng Zihao, Wai Ping-Kong Alexander, Zhou Hailong, Dong Jianji, Zhang Xinliang

机构信息

Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, 430074 Wuhan, China.

Optics Valley Laboratory, 430074 Wuhan, China.

出版信息

Nanophotonics. 2023 Jun 19;12(15):3189-3197. doi: 10.1515/nanoph-2023-0234. eCollection 2023 Jul.

DOI:10.1515/nanoph-2023-0234
PMID:39635047
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11501268/
Abstract

As photonic linear computations are diverse and easy to realize while photonic nonlinear computations are relatively limited and difficult, we propose a novel way to perform photonic nonlinear computations by linear operations in a high-dimensional space, which can achieve many nonlinear functions different from existing optical methods. As a practical application, the arbitrary binary nonlinear computations between two Boolean signals are demonstrated to implement a programmable logic array. In the experiment, by programming the high-dimensional photonic matrix multiplier, we execute fourteen different logic operations with only one fixed nonlinear operation. Then the combined logic functions of half-adder and comparator are demonstrated at 10 Gbit/s. Compared with current methods, the proposed scheme simplifies the devices and the nonlinear operations for programmable logic computing. More importantly, nonlinear realization assisted by space transformation offers a new solution for optical digital computing and enriches the diversity of photonic nonlinear computing.

摘要

由于光子线性计算多样且易于实现,而光子非线性计算相对受限且困难,我们提出了一种在高维空间中通过线性运算执行光子非线性计算的新方法,该方法可以实现许多不同于现有光学方法的非线性函数。作为实际应用,演示了两个布尔信号之间的任意二进制非线性计算以实现可编程逻辑阵列。在实验中,通过对高维光子矩阵乘法器进行编程,我们仅用一种固定的非线性运算就执行了十四种不同的逻辑运算。然后在10 Gbit/s速率下演示了半加器和比较器的组合逻辑功能。与现有方法相比,所提出的方案简化了可编程逻辑计算的器件和非线性运算。更重要的是,由空间变换辅助的非线性实现为光学数字计算提供了一种新的解决方案,并丰富了光子非线性计算的多样性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/92a8363970c4/j_nanoph-2023-0234_fig_006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/5dc0bf819069/j_nanoph-2023-0234_fig_001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/cd0f76595fef/j_nanoph-2023-0234_fig_002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/c66cf03d6d43/j_nanoph-2023-0234_fig_003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/077dc3c0bf46/j_nanoph-2023-0234_fig_004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/2d991b5e8a0b/j_nanoph-2023-0234_fig_005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/92a8363970c4/j_nanoph-2023-0234_fig_006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/5dc0bf819069/j_nanoph-2023-0234_fig_001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/cd0f76595fef/j_nanoph-2023-0234_fig_002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/c66cf03d6d43/j_nanoph-2023-0234_fig_003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/077dc3c0bf46/j_nanoph-2023-0234_fig_004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/2d991b5e8a0b/j_nanoph-2023-0234_fig_005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ef8/11501268/92a8363970c4/j_nanoph-2023-0234_fig_006.jpg

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