[1] R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki. Quantum entanglement. Rev. Mod. Phys., 81, 865-942(2009).

[2] S. L. Braunstein, P. van Loock. Quantum information with continuous variables. Rev. Mod. Phys., 77, 513-577(2005).

[3] H. J. Kimble. The quantum internet. Nature, 453, 1023-1030(2008).

[4] C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, S. Lloyd. Gaussian quantum information. Rev. Mod. Phys., 84, 621-669(2012).

[5] X. Wang, T. Hiroshima, A. Tomita, M. Hayashi. Quantum information with Gaussian states. Phys. Rep., 448, 1-111(2007).

[6] J. S. Bell. On the Einstein Podolsky Rosen paradox. Physics, 1, 195-200(1964).

[7] R. Uola, A. C. S. Costa, H. C. Nguyen, O. Gühne. Quantum steering. Rev. Mod. Phys., 92, 015001(2020).

[8] H. M. Wiseman, S. J. Jones, A. C. Doherty. Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox. Phys. Rev. Lett., 98, 140402(2007).

[9] V. Händchen, T. Eberle, S. Steinlechner, A. Samblowski, T. Franz, R. F. Werner, R. Schnabel. Observation of one-way Einstein-Podolsky-Rosen steering. Nat. Photonics, 6, 596-599(2012).

[10] S. Armstrong, M. Wang, R. Y. Teh, Q. Gong, Q. He, J. Janousek, H. A. Bachor, M. D. Reid, P. K. Lam. Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks. Nat. Phys., 11, 167-172(2015).

[11] S. Wollmann, N. Walk, A. J. Bennet, H. M. Wiseman, G. J. Pryde. Observation of genuine one-way Einstein-Podolsky-Rosen steering. Phys. Rev. Lett., 116, 160403(2016).

[12] K. Sun, X.-J. Ye, J.-S. Xu, X.-Y. Xu, J.-S. Tang, Y.-C. Wu, J.-L. Chen, C.-F. Li, G.-C. Guo. Experimental quantification of asymmetric Einstein-Podolsky-Rosen steering. Phys. Rev. Lett., 116, 160404(2016).

[13] Z. Qin, X. Deng, C. Tian, M. Wang, X. Su, C. Xie, K. Peng. Manipulating the direction of Einstein-Podolsky-Rosen steering. Phys. Rev. A, 95, 052114(2017).

[14] Y. Xiao, X.-J. Ye, K. Sun, J.-S. Xu, C.-F. Li, G.-C. Guo. Demonstration of multisetting one-way Einstein-Podolsky-Rosen steering in two-qubit systems. Phys. Rev. Lett., 118, 140404(2017).

[15] A. Cavaillès, H. Le Jeannic, J. Raskop, G. Guccione, D. Markham, E. Diamanti, M. D. Shaw, V. B. Verma, S. W. Nam, J. Laurat. Demonstration of Einstein-Podolsky-Rosen steering using hybrid continuous- and discrete-variable entanglement of light. Phys. Rev. Lett., 121, 170403(2018).

[16] M. Wang, Y. Xiang, H. Kang, D. Han, Y. Liu, Q. He, Q. Gong, X. Su, K. Peng. Deterministic distribution of multipartite entanglement and steering in a quantum network by separable states. Phys. Rev. Lett., 125, 260506(2020).

[17] C. Branciard, E. G. Cavalcanti, S. P. Walborn, V. Scarani, H. M. Wiseman. One-sided device-independent quantum key distribution: security, feasibility, and the connection with steering. Phys. Rev. A, 85, 010301(2012).

[18] T. Gehring, V. Händchen, J. Duhme, F. Furrer, T. Franz, C. Pacher, R. F. Werner, R. Schnabel. Implementation of continuous-variable quantum key distribution with composable and one-sided-device-independent security against coherent attacks. Nat. Commun., 6, 8795(2015).

[19] N. Walk, S. Hosseini, J. Geng, O. Thearle, J. Y. Haw, S. Armstrong, S. M. Assad, J. Janousek, T. C. Ralph, T. Symul, H. M. Wiseman, P. K. Lam. Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution. Optica, 3, 634-642(2016).

[20] M. Pysher, Y. Miwa, R. Shahrokhshahi, R. Bloomer, O. Pfister. Parallel generation of quadripartite cluster entanglement in the optical frequency comb. Phys. Rev. Lett., 107, 030505(2011).

[21] J. Roslund, R. M. de Araújo, S. Jiang, C. Fabre, N. Treps. Wavelength-multiplexed quantum networks with ultrafast frequency combs. Nat. Photonics, 8, 109-112(2014).

[22] H. Liu, J. Wang, H. Ma, S. Sun. Polarization-multiplexing-based measurement-device-independent quantum key distribution without phase reference calibration. Optica, 5, 902-909(2018).

[23] S. Yokoyama, R. Ukai, S. C. Armstrong, C. Sornphiphatphong, T. Kaji, S. Suzuki, J. Yoshikawa, H. Yonezawa, N. C. Menicucci, A. Furusawa. Ultra-large-scale continuous-variable cluster states multiplexed in the time domain. Nat. Photonics, 7, 982-986(2013).

[24] A. Marandi, Z. Wang, K. Takata, R. L. Byer, Y. Yamamoto. Network of time-multiplexed optical parametric oscillators as a coherent Ising machine. Nat. Photonics, 8, 937-942(2014).

[25] M. Larsen, X. Guo, C. Breum, J. Neergaard-Nielsen, U. Andersen. Deterministic generation of a two-dimensional cluster state. Science, 366, 369-372(2019).

[26] D. J. Richardson, J. M. Fini, L. E. Nelson. Space-division multiplexing in optical fibres. Nat. Photonics, 7, 354-362(2013).

[27] Y. Pu, Y. Wu, N. Jiang, W. Chang, C. Li, S. Zhang, L. Duan. Experimental entanglement of 25 individually accessible atomic quantum interfaces. Sci. Adv., 4, eaar3931(2018).

[28] L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A, 45, 8185-8189(1992).

[29] J. Wang, J. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, A. E. Willner. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photonics, 6, 488-496(2012).

[30] N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, S. Ramachandran. Terabit-scale orbital angular momentum mode division multiplexing in fibers. Science, 340, 1545-1548(2013).

[31] R. Fickler, G. Campbell, B. Buchler, P. K. Lam, A. Zeilinger. Quantum entanglement of angular momentum states with quantum numbers up to 10,010. Proc. Natl. Acad. Sci. USA, 113, 13642-13647(2016).

[32] X. L. Wang, Y. H. Luo, H. L. Huang, M. C. Chen, Z. E. Su, C. Liu, C. Chen, W. Li, Y. Q. Fang, X. Jiang, J. Zhang, L. Li, N. L. Liu, C. Y. Lu, J. W. Pan. 18-qubit entanglement with six photons’ three degrees of freedom. Phys. Rev. Lett., 120, 260502(2018).

[33] Z. Qin, A. S. Prasad, T. Brannan, A. MacRae, A. Lezama, A. I. Lvovsky. Complete temporal characterization of a single photon. Light Sci. Appl., 4, e298(2015).

[34] Z. Qin, L. Cao, H. Wang, A. M. Marino, W. Zhang, J. Jing. Experimental generation of multiple quantum correlated beams from hot rubidium vapor. Phys. Rev. Lett., 113, 023602(2014).

[35] V. Boyer, A. M. Marino, R. C. Pooser, P. D. Lett. Entangled images from four-wave mixing. Science, 321, 544-547(2008).

[36] K. Zhang, W. Wang, S. Liu, X. Pan, J. Du, Y. Lou, S. Yu, S. Lv, N. Treps, C. Fabre, J. Jing. Reconfigurable hexapartite entanglement by spatially multiplexed four-wave mixing processes. Phys. Rev. Lett., 124, 090501(2020).

[37] A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, K. M. Jones. Delocalized correlations in twin light beams with orbital angular momentum. Phys. Rev. Lett., 101, 093602(2008).

[38] F. Hudelist, J. Kong, C. Liu, J. Jing, Z. Y. Ou, W. Zhang. Quantum metrology with parametric amplifier-based photon correlation interferometers. Nat. Commun., 5, 3049(2014).

[39] R. C. Pooser, B. Lawrie. Ultrasensitive measurement of microcantilever displacement below the shot-noise limit. Optica, 2, 393-399(2015).

[40] X. Pan, S. Yu, Y. Zhou, K. Zhang, K. Zhang, S. Lv, S. Li, W. Wang, J. Jing. Orbital-angular-momentum multiplexed continuous-variable entanglement from four-wave mixing in hot atomic vapor. Phys. Rev. Lett., 123, 070506(2019).

[41] S. Li, X. Pan, Y. Ren, H. Liu, S. Yu, J. Jing. Deterministic generation of orbital-angular-momentum multiplexed tripartite entanglement. Phys. Rev. Lett., 124, 083605(2020).

[42] W. Wang, K. Zhang, J. Jing. Large-scale quantum network over 66 orbital angular momentum optical modes. Phys. Rev. Lett., 125, 140501(2020).

[43] S. Liu, Y. Lou, J. Jing. Orbital angular momentum multiplexed deterministic all-optical quantum teleportation. Nat. Commun., 11, 3875(2020).

[44] D. Cozzolino, E. Polino, M. Valeri, G. Carvacho, D. Bacco, N. Spagnolo, L. Oxenløwe, F. Sciarrino. Air-core fiber distribution of hybrid vector vortex-polarization entangled states. Adv. Photon., 1, 046005(2019).

[45] G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, P. Villoresi. Free-space quantum key distribution by rotation-invariant twisted photons. Phys. Rev. Lett., 113, 060503(2014).

[46] Y. Chen, W. Shen, Z. Li, C. Hu, Z. Yan, Z. Jiao, J. Gao, M. Cao, K. Sun, X. Jin. Underwater transmission of high-dimensional twisted photons over 55 meters. PhotoniX, 1, 5(2020).

[47] R. Ma, W. Liu, Z. Qin, X. Su, X. Jia, J. Zhang, J. Gao. Compact sub-kilohertz low-frequency quantum light source based on four-wave mixing in cesium vapor. Opt. Lett., 43, 1243-1246(2018).

[48] R. Simon. Peres-Horodecki separability criterion for continuous variable systems. Phys. Rev. Lett., 84, 2726-2729(2000).

[49] I. Kogias, A. R. Lee, S. Ragy, G. Adesso. Quantification of Gaussian quantum steering. Phys. Rev. Lett., 114, 060403(2015).

[50] P. Vaity, J. Banerji, R. P. Singh. Measuring the topological charge of an optical vortex by using a tilted convex lens. Phys. Lett. A, 377, 1154-1156(2013).

[51] X. Deng, Y. Liu, M. Wang, X. Su, K. Peng. Sudden death and revival of Gaussian Einstein–Podolsky–Rosen steering in noisy channels. npj Quantum Inf., 7, 65(2021).

[52] Z. Zhu, M. Janasik, A. Fyffe, D. Hay, Y. Zhou, B. Kantor, T. Winder, R. W. Boyd, G. Leuchs, Z. Shi. Compensation-free high-dimensional free-space optical communication using turbulence-resilient vector beam. Nat. Commun., 12, 1666(2021).