[1] [1] Liu S S, Lou Y B, Jing J T. Orbital angular momentum multiplexed deterministic all-optical quantum teleportation [J]. Nature Communications, 2020, 11: 3875.

[2] [2] Wang P P, Xiong W J, Huang Z B, et al. Orbital angular momentum mode logical operation using optical diffractive neural network [J]. Photonics Research, 2021, 9(10): 2116-2124.

[3] [3] Erhard M, Malik M, Krenn M, et al. Experimental Greenberger-Horne-Zeilinger entanglement beyond qubits [J]. Nature Photonics, 2018, 12(12): 759-764.

[4] [4] Devlin R C, Ambrosio A, Rubin N A, et al. Arbitrary spin-to-orbital angular momentum conversion of light [J]. Science, 2017, 358(6365): 896-901.

[5] [5] Liu S, Qi S X, Zhang Y, et al. Highly efficient generation of arbitrary vector beams with tunable polarization, phase, and amplitude [J]. Photonics Research, 2018, 6(4): 228-233.

[6] [6] Mandel L, Wolf E. Coherence Optics and Quantum Optics [M]. Cambridge University Press, 1995: 488-491.

[7] [7] Allen L, Beijersbergen M W, Spreeuw R J C, et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes [J]. Physical Review A, 1992, 45(11): 8185-8189.

[8] [8] Bozinovic N, Yue Y, Ren Y X, et al. Terabit-scale orbital angular momentum mode division multiplexing in fibers [J]. Science, 2013, 340(6140): 1545-1548.

[9] [9] Tamburini F, Anzolin G, Umbriaco G, et al. Overcoming the Rayleigh criterion limit with optical vortices [J]. Physical Review Letters, 2006, 97(16): 163903.

[10] [10] Jesacher A, Fürhapter S, Bernet S, et al. Shadow effects in spiral phase contrast microscopy [J]. Physical Review Letters, 2005, 94(23): 233902.

[11] [11] Jack B, Leach J, Romero J, et al. Holographic ghost imaging and the violation of a Bell inequality [J]. Physical Review Letters, 2009, 103(8): 083602.

[12] [12] Uribe-Patarroyo N, Fraine A, Simon D S, et al. Object identification using correlated orbital angular momentum states [J]. Physical Review Letters, 2013, 110(4): 043601.

[13] [13] Dada A C, Leach J, Buller G S, et al. Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequality [J]. Nature Physics, 2011, 7(9): 677-680.

[14] [14] Adesso G, D’Ambrosio V, Nagali E, et al. Experimental entanglement activation from discord in a programmable quantum measurement [J]. Physical Review Letters, 2014, 112(14): 140501.

[15] [15] Wang J, Yang J Y, Fazal I M, et al. Terabit free-space data transmission employing orbital angular momentum multiplexing [J]. Nature Photonics, 2012, 6(7): 488-496.

[16] [16] ValloneG, D’Ambrosio V, Sponselli A, et al. Free-space quantum key distribution by rotation-invariant twisted photons [J]. Physical Review Letters, 2014, 113(6): 060503.

[17] [17] Mafu M, Dudley A, Goyal S, et al. Higher-dimensional orbital-angular-momentum-based quantum key distribution with mutually unbiased bases[J]. Physical Review A, 2013, 88(3): 032305.

[18] [18] Fickler R, Lapkiewicz R, Plick W N, et al. Quantum entanglement of high angular momenta [J]. Science, 2012, 338(6107): 640-643.

[19] [19] Zhang P, Ren X F, Zou X B, et al. Demonstration of one-dimensional quantum random walks using orbital angular momentum of photons [J]. Physical Review A, 2007, 75(5): 052310.

[20] [20] Zhang P, Liu B, Liu R F, et al. Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons [J]. Physical Review A, 2010, 81(5): 052322.

[21] [21] Goyal S K, Roux F S, Forbes A, et al. Implementing quantum walks using orbital angular momentum of classical light [J]. Physical Review Letters, 2013, 110(26): 263602.

[22] [22] Ralph T C, Resch K J, Gilchrist A. Efficient Toffoli gates using qudits [J]. Physical Review A, 2007, 75(2): 022313.

[23] [23] Bazhenov V Y, Vasnetsov M V, Soskin M S. Laser beams with screw dislocations in their wavefronts [J]. JETP Letters, 1990, 52(8): 429-431.

[24] [24] Beijersbergen M W, Allen L, Van der Veen H, et al. Astigmatic laser mode converters and transfer of orbital angular momentum [J]. Optics Communications, 1993, 96(1): 123-132.

[25] [25] Mair A, Vaziri A, Weihs G, et al. Entanglement of the orbital angular momentum states of photons [J]. Nature, 2001, 412(6844): 313-316.

[26] [26] Beijersbergen M W, Coerwinkel R P C, Kristensen M, et al. Helical-wavefront laser beams produced with a spiral phaseplate [J]. Optics Communications, 1994, 112(5): 321-327.

[27] [27] Oemrawsingh S S R, van Houwelingen J A M, Eliel E R, et al. Production and characterization of spiral phase plates for optical wavelengths [J]. Applied Optics, 2004, 43(3): 688-694.

[28] [28] Cai X, Wang J, Strain M J, et al. Integrated compact optical vortex beam emitters [J]. Science, 2012, 338(6105): 363-366.

[29] [29] Babazadeh A, Erhard M, Wang F R, et al. High-dimensional single-photon quantum gates: Concepts and experiments[J]. Physical Review Letters, 2017, 119(18): 180510.

[30] [30] Ru S H, Wang Y L, An M, et al. Realization of a deterministic quantum Toffoli gate with a single photon [J]. Physical Review A, 2021, 103(2): 022606.

[31] [31] Wang F R, Ru S H, Wang Y L, et al. Experimental demonstration of a quantum controlled-SWAP gate with multiple degrees of freedom of a single photon [J]. Quantum Science and Technology, 2021, 6(3): 035005.

[32] [32] Karimi E, Leach J, Slussarenko S, et al. Spin-orbit hybrid entanglement of photons and quantum contextuality [J]. Physical Review A, 2010, 82(2): 022115.

[33] [33] Ru S H, An M, Yang Y, et al. Quantum state transfer between two photons with polarization and orbital angular momentum via quantum teleportation technology [J]. Physical Review A, 2021, 103(5): 052404.

[34] [34] Wang F R, Erhard M, Babazadeh A, et al. Generation of the complete four-dimensional Bell basis [J]. Optica, 2017, 4(12): 1462-1467.

[35] [35] Zhao S P, Chen S Q, Wang X, et al. Measuring the complex spectrum of orbital angular momentum and radial index with a single-pixel detector [J]. Optics Letters, 2020, 45(21): 5990-5993.

[36] [36] Wang X, Qian F F, Zhang J J, et al. Learning to recognize misaligned hyperfine orbital angular momentum modes [J]. Photonics Research, 2021, 9(4): B81-B86.

[37] [37] Huang G, Liu Z, Maaten V D L et al. Densely connected convolutional networks [C]. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2019, 1(3): 036002.