Compact and programmable large-scale optical processor in free space

Maria Gorizia Ammendola; Nazanin Dehghan; Lukas Scarfe; Alessio D’Errico; Francesco Di Colandrea; Ebrahim Karimi; Filippo Cardano

doi:10.1038/s41377-026-02236-2

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Compact and programmable large-scale optical processor in free space

Original Articles

- Compact and programmable large-scale optical processor in free space
- Compact and programmable large-scale optical processor in free space
- Light: Science & Applications 2026年15卷第6期页码：2009-2022
- Affiliations：
  
  1.Scuola Superiore Meridionale, Via Mezzocannone, 4, 80138 Napoli, Italy
  2.Nexus for Quantum Technologies, University of Ottawa, K1N 5N6, Ottawa, ON, Canada
  3.Dipartimento di Fisica “Ettore Pancini”, Università degli Studi di Napoli Federico Ⅱ, Complesso Universitario di Monte Sant’Angelo, Via Cintia, 80126 Napoli, Italy
  4.National Research Council of Canada, 100 Sussex Drive, Ottawa, ON K1A 0R6, Canada
  5.Institute for Quantum Studies, Chapman University, Orange, CA 92866, USA
- Author bio：
  
  Francesco Di Colandrea (francesco.dicolandrea@unina.it)
  Filippo Cardano (filippo.cardano2@unina.it)
- Funds：
- DOI：10.1038/s41377-026-02236-2
  中图分类号：
- 收稿：2025-09-26，
  
  修回：2026-02-06，
  
  录用：2026-02-09，
  
  网络首发：2026-03-19，
  
  纸质出版：2026-06-30
- Accepted：
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Maria Gorizia Ammendola, Nazanin Dehghan, Lukas Scarfe, 等. Compact and programmable large-scale optical processor in free space[J]. Light: Science & Applications, 2026,15(6):2009-2022.

Ammendola, M. G. et al. Compact and programmable large-scale optical processor in free space. Light: Science & Applications, 15, 2009-2022 (2026).
Maria Gorizia Ammendola, Nazanin Dehghan, Lukas Scarfe, 等. Compact and programmable large-scale optical processor in free space[J]. Light: Science & Applications, 2026,15(6):2009-2022. DOI： 10.1038/s41377-026-02236-2.

Ammendola, M. G. et al. Compact and programmable large-scale optical processor in free space. Light: Science & Applications, 15, 2009-2022 (2026). DOI： 10.1038/s41377-026-02236-2.

摘要

Abstract

Photonic circuits are central to classical and quantum information processing. While integrated technologies dominate

free-space architectures are emerging as attractive alternatives

offering broad bandwidth and direct manipulation of optical modes without confinement in waveguides. A key challenge for scalability lies in circuit depth

as the number of layers manipulating the optical field typically grows with the system size. Here

we introduce a programmable free-space photonic platform that implements translation-invariant

high-dimensional unitary transformations using only three layers. Information is encoded in structured light modes defined by circular polarization and quantized transverse momenta

and processed with spatial light modulators interleaved with half-wave plates. We implement unitaries that are equivalent to quantum walks over up to 30 time steps

in one- and two-dimensional lattices

distributing a single input mode across more than 7

000 outputs

where conventional approaches would require tens or hundreds of layers. The platform supports diverse quantum walk dynamics

including disorder

synthetic gauge fields

and topological effects

previously explored only in separate experiments. Using coincidence detection with a time-tagging camera

we show compatibility with quantum optics protocols and provide examples of quantum walks of heralded single photons. These results contribute to establishing free-space optical processors as promising resources for high-dimensional quantum simulation and scalable optical information processing.

关键词

Keywords

references

Luo, W. et al. Recent progress in quantum photonic chips for quantum communication and internet. Light Sci. Appl. 12 , 175 (2023)..

Slussarenko,S. & Pryde, G. J. Photonic quantum information processing: a concise review. Appl. Phys. Rev. 6 , 041303 (2019)..

Flamini, F., Spagnolo, N. & Sciarrino, F. Photonic quantum information processing: a review. Rep. Prog. Phys. 82 , 016001 (2019)..

Wang, H., Ralph, T. C., Renema, J. J., Lu, C.-Y. & Pan, J.-W. Scalable photonic quantum technologies. Nat. Mater. 24, 1883–1897 (2025).

Fu, T. et al. Optical neural networks: progress and challenges. Light Sci. Appl . 13 , 263 (2024)..

Wang, J., Sciarrino, F., Laing, A. & Thompson, M. G. Integrated photonic quantum technologies. Nat. Photon. 14 , 273–284 (2020)..

Yang, Y. et al. Programmable quantum circuits in a large-scale photonic waveguide array. npj Quant. Inf. 11 , 19 (2025)..

Yu, H. et al. Quantum key distribution implemented with d-level time-bin entangled photons. Nat. Commun. 16 , 171 (2025)..

Schreiber, A. et al. A 2D quantum walk simulation of two-particle dynamics. Science 336 , 55–58 (2012)..

Bouchard, F. et al. Programmable photonic quantum circuits with ultrafast time-bin encoding. Phys. Rev. Lett. 133 , 090601 (2024)..

Goel, S. et al. Inverse design of high-dimensional quantum optical circuits in a complex medium. Nat. Phys. 20 , 232 (2024)..

Makowski, A. et al. Large reconfigurable quantum circuits with spad arrays and multimode fibers. Optica 11 , 340 (2024)..

Valencia, N. H. et al. A multiplexed programmable quantum photonic network. https://doi.org/10.48550/arXiv.2501.07272 https://doi.org/10.48550/arXiv.2501.07272 (2025).

Leedumrongwatthanakun, S. et al. Programmable linear quantum networks with a multimode fibre. Nat. Photon. 14 , 139–142 (2020)..

Labroille, G. et al. Efficient and mode selective spatial mode multiplexer based on multi-plane light conversion. Opt. Express 22 , 15599 (2014)..

Sun, Y., Dong, M., Yu, M., Liu, X. & Zhu, L. Review of diffractive deep neural networks. J. Opt. Soc. Am. B 40 , 2951–2961 (2023)..

Hu, J. et al. Diffractive optical computing in free space. Nat. Commun . 15 , 1525 (2024)..

Chen, R. & Gao, W. Free-space optical computing systems. Annalen Phys. 537 . 2400390 (2025)..

Goel, S., Ghosh, B. & Malik, M. Quantum information processing with spatially structured light. Adv. Photon. 8 , 014005 (2025)..

Brandt, F., Hiekkamäki, M., Bouchard, F., Huber, M. & Fickler, R. High-dimensional quantum gates using full-field spatial modes of photons. Optica 7 , 98 (2020)..

Kupianskyi, H., Horsley, S. A. R. & Phillips, D. B. High-dimensional spatial mode sorting and optical circuit design using multi-plane light conversion. APL Photo n . 8 , 026101 (2023)..

Courme, B., Cameron, P., Faccio, D., Gigan, S. & Defienne, H. Manipulation and certification of high-dimensional entanglement through a scattering medium. PRX Quantum 4 , 010308 (2023)..

Koni, M., Bezuidenhout, H. & Nape, I. Emulating quantum computing with optical matrix multiplication. APL Photon . 9 . 106120 (2024)..

Wang, Q., Liu, J., Lyu, D. & Wang, J. Ultrahigh-fidelity spatial mode quantum gates in high-dimensional space by diffractive deep neural networks. Light Sci. Appl. 13 , 10 (2024)..

Lib, O. & Bromberg, Y. Resource-efficient photonic quantum computation with high-dimensional cluster states. Nat. Photon. 18 , 1218–1224 (2024)..

Rubin, N. A., Shi, Z. & Capasso, F. Polarization in diffractive optics and metasurfaces. Adv. Opt. Photon. 13 , 836–970 (2021)..

Badloe, T., Lee, S. & Rho, J. Computation at the speed of light: metamaterials for all-optical calculations and neural networks. Adv. Photon . 4 . 064002 (2022)..

Park, C., Jeon, Y. & Rho, J. 36-channel spin and wavelength co-multiplexed metasurface holography by phase-gradient inverse design. Adv. Sci . 12 , 2504634 (2025)..

Choi, E. et al. 360° structured light with learned metasurfaces. Nat. Photon. 18 , 848–855 (2024)..

So, S. et al. Multicolor and 3d holography generated by inverse-designed single-cell metasurfaces. Adv. Mater . 35 , e2208520 (2023)..

Soma, G., Komatsu, K., Nakano,Y. & Tanemura, T. Complete vectorial optical mode converter using multi-layer metasurface. Nat. Commun. 16 , 7744 (2025)..

Yousef, K. M. A. et al. Metasurface quantum graphs fo r generalized Hong-Ou-Mandel interference. Science 389 , 416–422 (2025)..

Li, Y. et al. Ultrathin optical quantum CNOT gate based on a single-layer metasurface. Photon. Res. 13 , 2442–2452 (2025)..

An, K. et al. Efficient characterizations of multiphoton states with an ultra-thin optical device. Nat. Commun. 15 , 3944 (2024)..

Di Colandrea, F. et al. Ultra-long quantum walks via spin-orbit photonics. Optica 10 , 324 (2023)..

Ammendola, M. G., Di Colandrea, F., Marrucci, L. & Cardano, F. Large-scale free-space photonic circuits in two dimensions. Adv. Photon. 7 , 016006 (2025)..

Bolduc, E., Bent, N., Santamato, E., Karimi, E. & Boyd, R. W. Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram. Opt. Lett. 38 , 3546–3549 (2013)..

Sit, A., Giner, L., Karimi, E. & Lundeen, J. S. General lossless spatial polarization transformations. J. Opt. 19 , 094003 (2017)..

Hu, Q., Dai, Y., He, C. & Booth, M. J. Arbitrary vectorial state conversion using liquid crystal spatial light modulators. Opt. Commun. 459 , 125028 (2020)..

Hu, Q., He, C. & Booth, M. J. Arbitrary complex retarders using a sequence of spatial light modulators as the basis for adaptive polarisation compensation. J. Opt. 23 , 065602 (2021)..

He, C. et al. A reconfigurable arbitrary retarder array as complex structured matter. Nat. Commun. 16 , 4902 (2025)..

Venegas-Andraca, S. E. Quantum walks: a comprehensive review. Quantum Inf. Process. 11 , 1015–1106 (2012)..

Nomerotski, A. Imaging and time stamping of photons with nanosecond resolution in TimePix-based optical cameras. Nucl. Instrum. Methods Phys. Res. Sect. A Accel. Spectrom. Detect. Assoc. Equip. 937 , 26–30 (2019)..

D’Errico, A. et al. Two-dimensional topological quantum walks in the momentum space of structured light. Optica 7 , 108 (2020)..

Forbes, A., Dudley, A. & McLaren, M. Creatio n and detection of optical modes with spatial light modulators. Adv. Opt. Photon. 8 , 200–227 (2016)..

Yang, Y., Forbes, A. & Cao, L. A review of liquid crystal spatial light modulators: devices and applications. Opto-Electron. Sci. 2 , 230026–230026 (2023)..

Cardano, F. et al. Statistical moments of quantum-walk dynamics reveal topological quantum transitions. Nat. Commun. 7 , 11439 (2016)..

Esposito, C. et al. Quantum walks of two correlated photons in a 2D synthetic lattice. npj Quant. Inf. 8 , 34 (2022)..

Geraldi, A. et al. Experimental investigation of superdiffusion via coherent disordered quantum walks. Phys. Rev. Lett. 123 , 140501 (2019)..

D’Errico, A. et al. Bloch-landau-zener dynamics induced by a synthetic field in a photonic quantum walk. APL Photon . 6 , 020802 (2021)..

Chalabi, H. et al. Guiding and confining of light in a two-dimensional synthetic space using electric fields. Optica 7 , 506 (2020)..

Kitagawa, T., Rudner, M. S., Berg, E. & Demler, E. Exploring topological phases with quantum walks. Phys. Rev. A 82 , 033429 (2010)..

Hashemi, A., Zakeri, M. J., Jung, P. S. & Blanco-Redondo, A. Topological quantum photonics. APL Photon . 10 , 010903 (2025)..

Zak, J. Berry’s phase for energy bands in solids. Phys. Rev. Lett. 62 , 2747 (1989)..

Asbóth, J. K., Oroszlány, L. & Pályi, A. A Short Course on Topological Insulators. Vol. 919 (Springer, 2016).

Cardano, F. et al. Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons. Nat. Commun. 8 , 15516 (2017)..

D’Errico, A. et al. Bulk detection of time-dependent topological transitions in quenched chiral models. Phys. Rev. Res. 2 , 023119 (2020)..

Stuhl, B. K., Lu, H.-I., Aycock, L. M., Genkina, D. & Spielman, I. B. Visualizing edge states with an atomic Bose gas in the quantum Hall regime. Science 349 , 1514–1518 (2015)..

Mancini, M. et al. Observation of chiral edge states with neutral fermions in synthetic Hall ribbons. Science 349 , 1510–1513 (2015)..

Leder, M. et al. Real-space imaging of a topologically protected edge state with ultracold atoms in an amplitude-chirped optical lattice. Nat. Commun. 7 , 13112 (2016)..

Mukherjee, S. et al. Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice. Nat. Commun. 8 , 13918 (2017)..

Shen, Y., Hu, Z., Wu, D., Ma, C. & Liu, Y. An open-source, accurate, and iterative calibration method for liquid-crystal-based spatial light modulators. Opt. Commun. 495 , 127108 (2021)..

Di Colandrea, F., Dehghan, N., Cardano, F., D’Errico, A. & Karimi, E. Manifestation of the quantum metric in chiral lattice systems. Commun. Phys. 7 , 265 (2024)..

Bleu, O., Malpuech, G., Gao, Y. & Solnyshkov, D. D. Effective theory of nonadiabatic quantum evolution based on the quantum geometric tensor. Phys. Rev. Lett. 121 , 020401 (2018)..

Gianfrate, A. et al. Measurement of the quantum geometric tensor and of the anomalous Hall drift. Nature 578 , 381–385 (2020)..

Marrucci, L., Manzo, C. & Paparo, D. Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. Phys. Rev. Lett. 96 , 163905 (2006)..

Viebahn, K., Sbroscia, M., Carter, E., Yu, J.-C. & Schneider, U. Matter-wave diffraction from a quasicrystalline optical lattice. Phys. Rev. Lett. 122 , 110404 (2019)..

Paneru, D., Di Colandrea, F., D’Errico, A. & Karimi, E. Nonlocal transfer of high-dimensional unitary operations. Quantum 9 , 1855 (2025)..

Lee, S., Park, C. & Rho, J. Mapping information and light: trends of AI-enabled metaphotonics. Curr. Opin. Solid State Mater. Sci. 29 , 101144 (2024)..

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