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Optical computing

Multiplying matrices in a single pass with light

Optical computing has been limited to vector–matrix multiplications, with matrix–matrix operations requiring wavelength- or time-division multiplexing, reducing energy efficiency and speed. Now, researchers have demonstrated a free-space optical approach that overcomes these limitations, enabling parallel matrix–matrix and tensor–matrix multiplications in a single optical operation.

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Fig. 1: Vector–matrix and matrix–matrix multiplications in free-space optical systems.

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Correspondence to Carlos A. Ríos Ocampo or Nathan Youngblood.

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The authors declare the following competing interests: C.R.O and N.Y. have existing patents related to optical computing technologies.

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Ríos Ocampo, C.A., Youngblood, N. Multiplying matrices in a single pass with light. Nat. Photon. 20, 3–4 (2026). https://doi.org/10.1038/s41566-025-01828-5

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