Matrix computation, as a fundamental building block of information processing in science and technology, contributes most of the computational overheads in modern signal processing and artificial intelligence algorithms. Photonic accelerators are designed to accelerate specific categories of computing in the optical domain, especially matrix multiplication, to address the growing demand for computing resources and capacity. Photonic matrix multiplication has much potential to expand the domain of telecommunication, and artificial intelligence benefiting from its superior performance. Recent research in photonic matrix multiplication has flourished and may provide opportunities to develop applications that are unachievable at present by conventional electronic processors. In this review, we first introduce the methods of photonic matrix multiplication, mainly including the plane light conversion method, Mach–Zehnder interferometer method and wavelength division multiplexing method. We also summarize the developmental milestones of photonic matrix multiplication and the related applications. Then, we review their detailed advances in applications to optical signal processing and artificial neural networks in recent years. Finally, we comment on the challenges and perspectives of photonic matrix multiplication and photonic acceleration.

Hailong Zhou;Jianji Dong;Junwei Cheng;Wenchan Dong;Chaoran Huang;Yichen Shen;Qiming Zhang;Min Gu;Chao Qian;Hongsheng Chen;Zhichao Ruan;Xinliang Zhang

Wuhan National Laboratory for Optoelectronics,Huazhong University of Science and Technology,Wuhan 430074,China;Department of Electronic Engineering,The Chinese University of Hong Kong,Shatin,Hong Kong,China;Lightelligence,Hangzhou 311121,China;Institute of Photonic Chips,University of Shanghai for Science and Technology,Shanghai 200093,China;Centre for Artificial-Intelligence Nanophotonics,School of Optical-Electrical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;Interdisciplinary Center for Quantum Information,State Key Laboratory of Modern Optical Instrumentation,ZJU-Hangzhou Global Scientific and Technological Innovation Center,ZJU-UIUC Institute,Zhejiang University,Hangzhou 310027,China;Interdisciplinary Center of Quantum Information,State Key Laboratory of Modern Optical Instrumentation,and Zhejiang Province Key Laboratory of Quantum Technology and Device,Department of Physics,Zhejiang University,Hangzhou 310027,China

光：科学与应用（英文版）

[1]Hailong Zhou;Jianji Dong;Junwei Cheng;Wenchan Dong;Chaoran Huang;Yichen Shen;Qiming Zhang;Min Gu;Chao Qian;Hongsheng Chen;Zhichao Ruan;Xinliang Zhang-.Photonic matrix multiplication lights up photonic accelerator and beyond)[J].光：科学与应用（英文版）,2022(02):158-178

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