[1] N. Yu et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science, 334, 333-337(2011).

[2] C.-W. Qiu et al. Quo vadis, metasurfaces?. Nano Lett., 21, 5461-5474(2021).

[3] M. Khorasaninejad et al. Metalenses at visible wavelengths: diffraction-limited focusing and subwavelength resolution imaging. Science, 352, 1190-1194(2016).

[4] F. Yue et al. Vector vortex beam generation with a single plasmonic metasurface. ACS Photonics, 3, 1558-1593(2016).

[5] W. Ye et al. Spin and wavelength multiplexed nonlinear metasurface holography. Nat. Commun., 7, 11930(2016).

[6] J. P. Balthasar Mueller et al. Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization. Phys. Rev. Lett., 118, 113901(2017).

[7] Y. Fan et al. Emerging trend in unconventional metasurfaces: from nonlinear, non-Hermitian to nonclassical metasurfaces. ACS Photonics, 9, 2872-2890(2022).

[8] W. J. M. Kort-Kamp, A. K. Azad, D. A. R. Dalvit. Space-time quantum metasurfaces. Phys. Rev. Lett., 127, 043603(2021).

[9] P. K. Jha et al. Metasurface-enabled remote quantum interference. Phys. Rev. Lett., 115, 025501(2015).

[10] L. Li et al. Metalens-array–based high-dimensional and multiphoton quantum source. Science, 368, 1487-1490(2020).

[11] T. Stav et al. Quantum entanglement of the spin and orbital angular momentum of photons using metamaterials. Science, 361, 1101-1104(2018).

[12] T. Santiago-Cruz et al. Resonant metasurfaces for generating complex quantum states. Science, 377, 991-995(2022).

[13] J. Zhang et al. Spatially entangled photon pairs from lithium niobate nonlocal metasurfaces. Sci. Adv., 8, eabq4240(2022).

[14] K. Wang et al. Quantum metasurface for multiphoton interference and state reconstruction. Science, 361, 1104-1108(2018).

[15] Q. Li et al. A non-unitary metasurface enables continuous control of quantum photon–photon interactions from Bosonic to fermionic. Nat. Photonics, 15, 267-271(2021).

[16] H. Liang et al. One-sided destructive quantum interference from an exceptional-point-based metasurface. Phys. Rev. A, 104, 063710(2021).

[17] T. K. Yung et al. Jones-Matrix imaging based on two-photon interference. Nanophotonics, 12, 588(2022).

[18] C. Altuzarra et al. Imaging of polarization-sensitive metasurfaces with quantum entanglement. Phys. Rev. A, 99, 020101(2019).

[19] A. Vega et al. Metasurface-assisted quantum ghost discrimination of polarization objects. Phys. Rev. Appl., 16, 064032(2021).

[20] J. Liu et al. Metasurface-assisted quantum nonlocal weak-measurement microscopy. Phys. Rev. Lett., 132, 043601(2024).

[21] R. S. Tanuwijaya et al. Metasurface for programmable quantum algorithms with classical and quantum light. Nanophotonics, 13, 927-936(2024).

[22] A. S. Solntsev, G. S. Agarwal, Y. S. Kivshar. Metasurfaces for quantum photonics. Nat. Photonics, 15, 327-336(2021).

[23] Z. Gao et al. Metasurface for complete measurement of polarization Bell state. Nanophotonics, 12, 569-577(2022).

[24] J. Zhou et al. Metasurface enabled quantum edge detection. Sci. Adv., 6, eabc4385(2020).

[25] H. Liang et al. Continuous heralding control of vortex beams using quantum metasurface. Commun. Phys., 6, 140(2023).

[26] Y.-J. Gao et al. Multichannel distribution and transformation of entangled photons with dielectric metasurfaces. Phys. Rev. Lett., 129, 023601(2022).

[27] Y. Fan et al. Dual-channel quantum meta-hologram for display. Adv. Photonics Nexus, 3, 016011(2024).

[28] J. Z. Yang et al. Quantum metasurface holography. Photonics Res., 10, 2607-2613(2022).

[29] T. H. Yoon, M. Cho. Quantitative complementarity of wave-particle duality. Sci. Adv., 7, eabi9268(2021).

[30] P. D. D. Schwindt, P. G. Kwiat, B.-G. Englert. Quantitative wave-particle duality and nonerasing quantum erasure. Phys. Rev. A, 60, 4285(1999).

[31] B.-G. Englert. Fringe visibility and which-way information: an inequality. Phys. Rev. Lett., 77, 2154-2157(1996).

[32] M. O. Scully, K. Drühl. Quantum eraser: a proposed photon correlation experiment concerning observation and “delayed choice” in quantum mechanics. Phys. Rev. A, 25, 2208-2213(1982).

[33] S. P. Walborn et al. Double-slit quantum eraser. Phys. Rev. A, 65, 033818(2002).

[34] W. K. Wootters, W. H. Zurek. Complementarity in the double-slit experiment: quantum nonseparability and a quantitative statement of Bohr’s principle. Phys. Rev. D, 19, 473-484(1979).

[35] T. J. Herzog et al. Complementarity and the quantum eraser. Phys. Rev. Lett., 75, 3034-3037(1995).

[36] I. Nape, B. Ndagano, A. Forbes. Erasing the orbital angular momentum information of a photon. Phys. Rev. A, 95, 053859(2017).

[37] P. B. Dixon et al. Quantum mutual information capacity for high-dimensional entangled states. Phys. Rev. Lett., 108, 143603(2012).

[38] D. Cozzolino et al. High‐dimensional quantum communication: benefits, progress, and future challenges. Adv. Quantum Technol., 2, 1900038(2019).

[39] A. Klug, C. Peters, A. Forbes. Robust structured light in atmospheric turbulence. Adv. Photonics, 5, 016006(2023).

[40] H. Jeong et al. Generation of hybrid entanglement of light. Nat. Photonics, 8, 564-569(2014).

[41] M. Moradi et al. CHSH Bell tests for optical hybrid entanglement. New J. Phys., 26, 033019(2024).

[42] C. Wang, Y. Zhang, R. Zhang. Entanglement purification based on hybrid entangled state using quantum-dot and microcavity coupled system. Opt. Express, 19, 25685-25695(2011).

[43] D. Cozzolino et al. Air-core fiber distribution of hybrid vector vortex-polarization entangled states. Adv. Photonics, 1, 046005(2019).

[44] A. Forbes, I. Nape. Quantum mechanics with patterns of light: progress in high dimensional and multidimensional entanglement with structured light. AVS Quantum Sci., 1, 011701(2019).

[45] L. Neves et al. Hybrid photonic entanglement: realization, characterization, and applications. Phys. Rev. A, 80, 042322(2009).

[46] P. G. Kwiat et al. New high-intensity source of polarization-entangled photon pairs. Phys. Rev. Lett., 75, 4337-4341(1995).

[47] M. Liu et al. Multifunctional metasurfaces enabled by simultaneous and independent control of phase and amplitude for orthogonal polarization states. Light Sci. Appl., 10, 107(2021).

[48] R. Zhao et al. Multichannel vectorial holographic display and encryption. Light Sci. Appl., 7, 95(2018).

[49] J. P. B. Mueller et al. Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization. Phys. Rev. Lett., 118, 113901(2017).

[50] J. Xi et al. Deep-learning assisted polarization holograms. Adv. Opt. Mater., 32, 2202663(2023).

[51] A. Sit et al. High-dimensional intracity quantum cryptography with structured photons. Optica, 4, 1006-1010(2017).

[52] H. Bechmann-Pasquinucci, W. Tittel. Quantum cryptography using larger alphabets. Phys. Rev. A, 61, 062308(2000).

[53] A. Tavakoli et al. Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments. Sci. Adv., 7, eabc3847(2021).

[54] N. J. Cerf et al. Security of quantum key distribution using d-level systems. Phys. Rev. Lett., 88, 127902(2002).

[55] C. H. Bennett, G. Brassard. Quantum cryptography: public key distribution and coin tossing, 175-179(1984).

[56] N. A. Rubin et al. Jones matrix holography with metasurfaces. Sci. Adv., 7, eabg7488(2021).

[57] I. Nape et al. Revealing the invariance of vectorial structured light in complex media. Nat. Photonics, 16, 538-546(2022).

[58] P. Ornelas et al. Non-local skyrmions as topologically resilient quantum entangled states of light. Nat. Photonics, 18, 258-266(2024).

[59] Y. Shen et al. Self-healing of structured light: a review. J. Opt., 24, 103001(2022).