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A complete photonic integrated neuron for nonlinear all-optical computing

Abstract

The field of photonic neural networks has experienced substantial growth, driven by its potential to enable ultrafast artificial intelligence inference and address the escalating demand for computing speed and energy efficiency. However, realizing nonlinearity-complete all-optical neurons is still challenging, constraining the performance of photonic neural networks. Here we report a complete photonic integrated neuron (PIN) with spatiotemporal feature learning capabilities and reconfigurable structures for nonlinear all-optical computing. By interleaving the spatiotemporal dimension of photons and leveraging the Kerr effect, PIN performs high-order temporal convolution and all-optical nonlinear activation monolithically on a silicon-nitride photonic chip, achieving neuron completeness of weighted interconnects and nonlinearities. We develop the PIN chip system and demonstrate its remarkable performance in high-accuracy image classification and human motion generation. PIN enables ultrafast spatialtemporal processing with a latency as low as 240 ps, paving the way for advancing machine intelligence into the subnanosecond regime.

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Fig. 1: PIN: a complete neuron for nonlinear all-optical computing.
Fig. 2: Time delay, nonlinearity and computation characteristics of PIN.
Fig. 3: Image classification with PIN.
Fig. 4: Natural and diverse human motion generation with PIN.

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Data availability

The raw datasets are all publicly available. MNIST42, Fashion-MNIST58, N-MNIST59 and MSR-Action3D4 datasets are downloaded online from previous works. Source data are provided with this paper.

Code availability

The software code is available via Zenodo at https://doi.org/10.5281/zenodo.14975352 (ref. 67).

References

  1. LeCun, Y., Bengio, Y. & Hinton, G. Deep learning. Nature 521, 436–444 (2015).

    Article  Google Scholar 

  2. Krizhevsky, A., Sutskever, I. & Hinton, G. E. ImageNet classification with deep convolutional neural networks. Commun. ACM 60, 84–90 (2017).

    Article  Google Scholar 

  3. Silver, D. et al. Mastering the game of Go without human knowledge. Nature 550, 354–359 (2017).

    Article  Google Scholar 

  4. Guo, C. et al. Action2motion: Conditioned generation of 3d human motions. In Proc. of the 28th ACM International Conference on Multimedia, 2021–2029 (Association for Computing Machinery, 2020).

  5. Bubeck, S. et al. Sparks of artificial general intelligence: early experiments with GPT-4. Preprint at https://arxiv.org/abs/2303.12712 (2023).

  6. Fei, N. et al. Towards artificial general intelligence via a multimodal foundation model. Nat. Commun. 13, 3094 (2022).

    Article  Google Scholar 

  7. Moore, G. E. Cramming more components onto integrated circuits. Proc. IEEE 86, 82–85 (1998).

    Article  Google Scholar 

  8. Zhang, C. et al. Optimizing FPGA-based accelerator design for deep convolutional neural networks. In Proc. 2015 ACM/SIGDA International Symposium on Field-Programmable Gate Arrays, 161–170 (2015).

  9. Merolla, P. A. et al. A million spiking-neuron integrated circuit with a scalable communication network and interface. Science 345, 668–673 (2014).

    Article  Google Scholar 

  10. Horowitz, M. 1.1 computing's energy problem (and what we can do about it). In 2014 IEEE International Solid-State Circuits Conference Digest of Technical Papers (ISSCC) 10–14 (Association for Computing Machinery, 2014).

  11. Caulfield, H. J. & Dolev, S. Why future supercomputing requires optics. Nat. Photon. 4, 261–263 (2010).

    Article  Google Scholar 

  12. Chen, Z. et al. Deep learning with coherent VCSEL neural networks. Nat. Photon. 17, 723–730 (2023).

    Article  Google Scholar 

  13. Feldmann, J., Youngblood, N., Wright, C. D., Bhaskaran, H. & Pernice, W. H. All-optical spiking neurosynaptic networks with self-learning capabilities. Nature 569, 208–214 (2019).

    Article  Google Scholar 

  14. Xu, X. et al. 11 TOPS photonic convolutional accelerator for optical neural networks. Nature 589, 44–51 (2021).

    Article  Google Scholar 

  15. Ashtiani, F., Geers, A. J. & Aflatouni, F. An on-chip photonic deep neural network for image classification. Nature 606, 501–506 (2022).

    Article  Google Scholar 

  16. Feldmann, J. et al. Parallel convolutional processing using an integrated photonic tensor core. Nature 589, 52–58 (2021).

    Article  Google Scholar 

  17. Lin, X. et al. All-optical machine learning using diffractive deep neural networks. Science 361, 1004–1008 (2018).

    Article  MathSciNet  Google Scholar 

  18. Miscuglio, M. et al. Massively parallel amplitude-only Fourier neural network. Optica 7, 1812–1819 (2020).

    Article  Google Scholar 

  19. Zhou, T. et al. Large-scale neuromorphic optoelectronic computing with a reconfigurable diffractive processing unit. Nat. Photon 15, 367–373 (2021).

    Article  Google Scholar 

  20. Tait, A. N. et al. Neuromorphic photonic networks using silicon photonic weight banks. Sci. Rep. 7, 7430 (2017).

    Article  Google Scholar 

  21. Shastri, B. J. et al. Photonics for artificial intelligence and neuromorphic computing. Nat. Photon. 15, 102–114 (2021).

    Article  Google Scholar 

  22. Wetzstein, G. et al. Inference in artificial intelligence with deep optics and photonics. Nature 588, 39–47 (2020).

    Article  Google Scholar 

  23. Xu, S., Wang, J., Yi, S. & Zou, W. High-order tensor flow processing using integrated photonic circuits. Nat. Commun. 13, 7970 (2022).

    Article  Google Scholar 

  24. Wang, T. et al. Image sensing with multilayer nonlinear optical neural networks. Nat. Photon. 17, 408–415 (2023).

  25. Shen, Y. et al. Deep learning with coherent nanophotonic circuits. Nat. Photon. 11, 441–446 (2017).

    Article  Google Scholar 

  26. Larger, L. et al. High-speed photonic reservoir computing using a time-delay-based architecture: million words per second classification. Phys. Rev. 7, 011015 (2017).

    Article  Google Scholar 

  27. Brunner, D., Soriano, M. C., Mirasso, C. R. & Fischer, I. Parallel photonic information processing at gigabyte per second data rates using transient states. Nat. Commun. 4, 1364 (2013).

    Article  Google Scholar 

  28. Vandoorne, K. et al. Experimental demonstration of reservoir computing on a silicon photonics chip. Nat. Commun. 5, 3541 (2014).

    Article  Google Scholar 

  29. Huang, C. et al. A silicon photonic–electronic neural network for fibre nonlinearity compensation. Nat. Electron. 4, 837–844 (2021).

    Article  Google Scholar 

  30. Yan, T. et al. Nanowatt all-optical 3D perception for mobile robotics. Sci. Adv. 10, eadn2031 (2024).

    Article  Google Scholar 

  31. Fang, L. et al. Engram-driven videography. Engineering 25, 101–109 (2023).

    Article  Google Scholar 

  32. Zuo, Y. et al. All-optical neural network with nonlinear activation functions. Optica 6, 1132–1137 (2019).

    Article  Google Scholar 

  33. Yan, T. et al. Fourier-space diffractive deep neural network. Phys. Rev. Lett. 123, 023901 (2019).

    Article  Google Scholar 

  34. Xia, F. et al. Nonlinear optical encoding enabled by recurrent linear scattering. Nat. Photon. 18, 1067–1075 (2024).

    Article  Google Scholar 

  35. Wanjura, C. C. & Marquardt, F. Fully nonlinear neuromorphic computing with linear wave scattering. Nat. Phys. 20, 1434–1440 (2024).

    Article  Google Scholar 

  36. Tait, A. N. et al. Silicon photonic modulator neuron. Phys. Rev. Appl. 11, 064043 (2019).

    Article  Google Scholar 

  37. Jha, A., Huang, C. & Prucnal, P. R. Reconfigurable all-optical nonlinear activation functions for neuromorphic photonics. Opt. Lett. 45, 4819–4822 (2020).

    Article  Google Scholar 

  38. Yu, W., Zheng, S., Zhao, Z., Wang, B. & Zhang, W. Reconfigurable low-threshold all-optical nonlinear activation functions based on an add-drop silicon microring resonator. IEEE Photonics J. 14, 1–7 (2022).

    Google Scholar 

  39. Bai, B. et al. Microcomb-based integrated photonic processing unit. Nat. Commun. 14, 66 (2023).

    Article  Google Scholar 

  40. Heebner, J. E., Wong, V., Schweinsberg, A., Boyd, R. W. & Jackson, D. J. Optical transmission characteristics of fiber ring resonators. IEEE J. Quantum Electron. 40, 726–730 (2004).

    Article  Google Scholar 

  41. Chen, S., Zhang, L., Fei, Y. & Cao, T. Bistability and self-pulsation phenomena in silicon microring resonators based on nonlinear optical effects. Opt. Express 20, 7454–7468 (2012).

    Article  Google Scholar 

  42. LeCun, Y., Bottou, L., Bengio, Y. & Haffner, P. Gradient-based learning applied to document recognition. Proc. IEEE 86, 2278–2324 (1998).

    Article  Google Scholar 

  43. Zhu, W. et al. Human motion generation: a survey. IEEE Trans. Pattern Anal. Mach. Intell. 46, 2430–2449 (2023).

    Article  Google Scholar 

  44. Bandyopadhyay, S. et al. Single-chip photonic deep neural network with forward-only training. Nat. Photon. 18, 1335–1343 (2024).

    Article  Google Scholar 

  45. Hua, S. et al. An integrated large-scale photonic accelerator with ultralow latency. Nature 640, 361–367 (2025).

    Article  Google Scholar 

  46. Ahmed, S. R. et al. Universal photonic artificial intelligence acceleration. Nature 640, 368–374 (2025).

    Article  Google Scholar 

  47. Wang, X. et al. The group interaction field for learning and explaining pedestrian anticipation. Engineering 34, 70–82 (2024).

    Article  Google Scholar 

  48. Koch, C. & Segev, I. The role of single neurons in information processing. Nat. Neurosci. 3, 1171–1177 (2000).

    Article  Google Scholar 

  49. Bliss, T. V. & Collingridge, G. L. A synaptic model of memory: long-term potentiation in the hippocampus. Nature 361, 31–39 (1993).

    Article  Google Scholar 

  50. Kholodenko, B. N. Cell-signalling dynamics in time and space. Nat. Rev. Mol. Cell Biol. 7, 165–176 (2006).

    Article  Google Scholar 

  51. Hamerly, R., Bandyopadhyay, S. & Englund, D. Accurate self-configuration of rectangular multiport interferometers. Phys. Rev. Appl. 18, 024019 (2022).

    Article  Google Scholar 

  52. Pai, S. et al. Experimentally realized in situ backpropagation for deep learning in photonic neural networks. Science 380, 398–404 (2023).

    Article  Google Scholar 

  53. Clements, W. R., Humphreys, P. C., Metcalf, B. J., Kolthammer, W. S. & Walmsley, I. A. Optimal design for universal multiport interferometers. Optica 3, 1460–1465 (2016).

    Article  Google Scholar 

  54. Wright, L. G. et al. Deep physical neural networks trained with backpropagation. Nature 601, 549–555 (2022).

    Article  Google Scholar 

  55. Xue, Z. et al. Fully forward mode training for optical neural networks. Nature 632, 280–286 (2024).

    Article  Google Scholar 

  56. Trabelsi, C. et al. Deep complex networks. Preprint at https://doi.org/10.48550/arXiv.1705.09792 (2017).

  57. Zhang, H. et al. An optical neural chip for implementing complex-valued neural network. Nat. Commun. 12, 457 (2021).

    Article  Google Scholar 

  58. Xiao, H., Rasul, K. & Vollgraf, R. Fashion-MNIST: a novel image dataset for benchmarking machine learning algorithms. Preprint at https://arxiv.org/abs/1708.07747 (2017).

  59. Orchard, G., Jayawant, A., Cohen, G. K. & Thakor, N. Converting static image datasets to spiking neuromorphic datasets using saccades. Front. Neurosci. 9, 437 (2015).

    Article  Google Scholar 

  60. Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H. & Teller, E. Equation of state calculations by fast computing machines. J. Chem. Phys. 21, 1087–1092 (1953).

    Article  Google Scholar 

  61. Heusel, M., Ramsauer, H., Unterthiner, T., Nessler, B. & Hochreiter, S. Gans trained by a two time-scale update rule converge to a local nash equilibrium. Adv. Neural Inf. Process. Syst. 30, 6627–6638 (2017).

    Google Scholar 

  62. Bińkowski, M., Sutherland, D. J., Arbel, M. & Gretton, A. Demystifying MMD GANs. Preprint at https://doi.org/10.48550/arXiv.1801.01401 (2018).

  63. Xu, Z. et al. Large-scale photonic chiplet Taichi empowers 160-TOPS/W artificial general intelligence. Science 384, 202–209 (2024).

    Article  Google Scholar 

  64. Zhao, P. et al. Ultra-broadband optical amplification using nonlinear integrated waveguides. Nature 640, 918–923 (2025).

    Article  Google Scholar 

  65. Dong, B. et al. Higher-dimensional processing using a photonic tensor core with continuous-time data. Nat. Photon. 17, 1080–1088 (2023).

    Article  Google Scholar 

  66. Reck, M., Zeilinger, A., Bernstein, H. J. & Bertani, P. Experimental realization of any discrete unitary operator. Phys. Rev. Lett. 73, 58 (1994).

    Article  Google Scholar 

  67. Yan, T. Code for a complete photonic integrated neuron (PIN). Zenodo https://doi.org/10.5281/zenodo.14975352 (2025).

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Acknowledgements

This work is supported in part by National Science and Technology Major Project under contract no. 2021ZD0109901 (L.F.), in part by Natural Science Foundation of China (NSFC) under contract nos. 62125106 (L.F.) and 62427804 (L.F.), in part by the Beijing Outstanding Young Scientist Program under contract no. JWZQ20240101009 (L.F.), in part by the XPLORER PRIZE (L.F.) and in part by the Shuimu Tsinghua Scholar Program (T.Y. and T.Z.) and the China Postdoctoral Science Foundation (CPSF) grant BX20240196 (T.Y.).

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L.F., Q.D. and R.H. initiated and supervised the project. T.Y., T.Z. and L.F. conceived the idea. T.Z., T.Y. and Y.G. designed the photonic integrated circuit. T.Y., Y.G., G.S. and S.L. performed the simulations and constructed the experiments. T.Y., T.Z. and Y.G. developed the methods. All the authors analyzed the results. T.Y., Y.G., T.Z. and L.F. prepared the paper with input from all the authors.

Corresponding authors

Correspondence to Ruqi Huang, Qionghai Dai or Lu Fang.

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Nature Computational Science thanks Thomas van Vaerenbergh and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Primary Handling Editor: Jie Pan, in collaboration with the Nature Computational Science team.

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Yan, T., Guo, Y., Zhou, T. et al. A complete photonic integrated neuron for nonlinear all-optical computing. Nat Comput Sci 5, 1202–1213 (2025). https://doi.org/10.1038/s43588-025-00866-x

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