S. Tarantino, B. D. Lio, D. Cozzolino, and D. Bacco, “Feasibility of quantum communications in aquatic scenarios,” Optik 216, 164639 (2020).

[Crossref]

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

S. Deng, Y. Zhu, and Y. Zhang, “Received probability of vortex modes carried by localized wave of Bessel-Gaussian amplitude envelope in turbulent seawater,” J. Mar. Sci. Eng. 7, 203–214 (2019).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

Y. Li, L. Yu, and Y. Zhang, “Influence of anisotropic turbulence on the orbital angular momentum modes of Hermite-Gaussian vortex beam in the ocean,” Opt. Express 25, 12203–12215 (2017).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

S. Rana, P. Parashar, and M. Lewenstein, “Trace-distance measure of coherence,” Phys. Rev. A 93, 012110 (2016).

[Crossref]

Y. Zhang, Z. Hu, Q. Yu, and Y. Zhu, “Spreading and wandering of Gaussian-Schell model laser beams in an anisotropic turbulent ocean,” Laser Phys. 26, 095001 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Q. Huang, “Propagation properties of an optical vortex carried by a Bessel-Gaussian beam in anisotropic turbulence,” J. Opt. Soc. Am. A. 33, 1442–1450 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM-based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

B. Aaronson, R. L. Franco, G. Compagno, and G. Adesso, “Hierarchy and dynamics of trace distance correlations,” New J. Phys. 15, 093022 (2013).

[Crossref]

A. H. Ibrahim, F. S. Roux, M. McLaren, T. Konrad, and A. Forbes, “Orbital-angular-momentum entanglement in turbulence,” Phys. Rev. A 88, 012312 (2013).

[Crossref]

M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express 20, 23589–23597 (2012).

[Crossref]

Y. Zhang, I. B. Djordjevic, and X. Gao, “On the quantum-channel capacity for orbital angular momentum-based free-space optical communications,” Opt. Lett. 37, 3267–3269 (2012).

[Crossref]

N. Farwell and O. Korotkova, “Intensity and coherence properties of light in oceanic turbulence,” Opt. Commun. 285, 872–875 (2012).

[Crossref]

H. D. Pires, J. Woudenberg, and M. P. van Exter, “Measurement of the orbital angular momentum spectrum of partially coherent beams,” Opt. Lett. 35, 889–891 (2010).

[Crossref]

E. M. Laine, J. Piilo, and H. P. Breuer, “Witness for initial system-environment correlations in open-system dynamics,” Europhys. Lett. 92, 60010 (2010).

[Crossref]

H. P. Breuer, E. M. Laine, and J. Piilo, “Measure for the degree of non-Markovian behavior of quantum processes in open systems,” Phys. Rev. Lett. 103, 210401 (2009).

[Crossref]

B. J. Smith and M. G. Raymer, “Two-photon wave mechanics,” Phys. Rev. A 74, 062104 (2006).

[Crossref]

A. Gilchrist, N. K. Langford, and M. A. Nielsen, “Distance measures to compare real and ideal quantum processes,” Phys. Rev. A 71, 062310 (2004).

[Crossref]

J. C. Ricklin and F. M. Davidson, “Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication,” J. Opt. Soc. Am. 19, 1794–1802 (2002).

[Crossref]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88, 013601 (2002).

[Crossref]

V. V. Nikishov and V. I. Nikishov, “Spectrum of turbulence fluctuations of the sea-water refraction index,” Int. J. Fluid Mech. Res. 27, 82–98 (2000).

[Crossref]

S. A. Holevo, “The capacity of the quantum channel with general signal states,” IEEE Trans. Inf. Theory 44, 269–273 (1998).

[Crossref]

S. Lloyd, “Capacity of the noisy quantum channel,” Phys. Rev. A 55, 1613–1622 (1997).

[Crossref]

F. Gori, G. Guattari, and C. Padovani, “Bessel-Gauss beams,” Opt. Commun. 64, 491–495 (1987).

[Crossref]

B. Aaronson, R. L. Franco, G. Compagno, and G. Adesso, “Hierarchy and dynamics of trace distance correlations,” New J. Phys. 15, 093022 (2013).

[Crossref]

B. Aaronson, R. L. Franco, G. Compagno, and G. Adesso, “Hierarchy and dynamics of trace distance correlations,” New J. Phys. 15, 093022 (2013).

[Crossref]

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).

S. Tarantino, B. D. Lio, D. Cozzolino, and D. Bacco, “Feasibility of quantum communications in aquatic scenarios,” Optik 216, 164639 (2020).

[Crossref]

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

E. M. Laine, J. Piilo, and H. P. Breuer, “Witness for initial system-environment correlations in open-system dynamics,” Europhys. Lett. 92, 60010 (2010).

[Crossref]

H. P. Breuer, E. M. Laine, and J. Piilo, “Measure for the degree of non-Markovian behavior of quantum processes in open systems,” Phys. Rev. Lett. 103, 210401 (2009).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM-based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Q. Huang, “Propagation properties of an optical vortex carried by a Bessel-Gaussian beam in anisotropic turbulence,” J. Opt. Soc. Am. A. 33, 1442–1450 (2016).

[Crossref]

Y. Zhang, M. Cheng, Y. Zhu, J. Gao, W. Dan, Z. Hu, and F. Zhao, “Influence of atmospheric turbulence on the transmission of orbital angular momentum for Whittaker-Gaussian laser beams,” Opt. Express 22, 22101–22110 (2014).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2010).

B. Aaronson, R. L. Franco, G. Compagno, and G. Adesso, “Hierarchy and dynamics of trace distance correlations,” New J. Phys. 15, 093022 (2013).

[Crossref]

S. Tarantino, B. D. Lio, D. Cozzolino, and D. Bacco, “Feasibility of quantum communications in aquatic scenarios,” Optik 216, 164639 (2020).

[Crossref]

J. C. Ricklin and F. M. Davidson, “Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication,” J. Opt. Soc. Am. 19, 1794–1802 (2002).

[Crossref]

S. Deng, Y. Zhu, and Y. Zhang, “Received probability of vortex modes carried by localized wave of Bessel-Gaussian amplitude envelope in turbulent seawater,” J. Mar. Sci. Eng. 7, 203–214 (2019).

[Crossref]

I. Djordjevic, Quantum Information Processing and Quantum Error Correction: An Engineering Approach (Academic, 2012)

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

N. Farwell and O. Korotkova, “Intensity and coherence properties of light in oceanic turbulence,” Opt. Commun. 285, 872–875 (2012).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

A. H. Ibrahim, F. S. Roux, M. McLaren, T. Konrad, and A. Forbes, “Orbital-angular-momentum entanglement in turbulence,” Phys. Rev. A 88, 012312 (2013).

[Crossref]

M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express 20, 23589–23597 (2012).

[Crossref]

B. Aaronson, R. L. Franco, G. Compagno, and G. Adesso, “Hierarchy and dynamics of trace distance correlations,” New J. Phys. 15, 093022 (2013).

[Crossref]

A. Gilchrist, N. K. Langford, and M. A. Nielsen, “Distance measures to compare real and ideal quantum processes,” Phys. Rev. A 71, 062310 (2004).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

F. Gori, G. Guattari, and C. Padovani, “Bessel-Gauss beams,” Opt. Commun. 64, 491–495 (1987).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

F. Gori, G. Guattari, and C. Padovani, “Bessel-Gauss beams,” Opt. Commun. 64, 491–495 (1987).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM-based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Q. Huang, “Propagation properties of an optical vortex carried by a Bessel-Gaussian beam in anisotropic turbulence,” J. Opt. Soc. Am. A. 33, 1442–1450 (2016).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

S. A. Holevo, “The capacity of the quantum channel with general signal states,” IEEE Trans. Inf. Theory 44, 269–273 (1998).

[Crossref]

Y. Zhang, Z. Hu, Q. Yu, and Y. Zhu, “Spreading and wandering of Gaussian-Schell model laser beams in an anisotropic turbulent ocean,” Laser Phys. 26, 095001 (2016).

[Crossref]

Y. Zhang, M. Cheng, Y. Zhu, J. Gao, W. Dan, Z. Hu, and F. Zhao, “Influence of atmospheric turbulence on the transmission of orbital angular momentum for Whittaker-Gaussian laser beams,” Opt. Express 22, 22101–22110 (2014).

[Crossref]

M. Cheng, L. Guo, J. Li, and Q. Huang, “Propagation properties of an optical vortex carried by a Bessel-Gaussian beam in anisotropic turbulence,” J. Opt. Soc. Am. A. 33, 1442–1450 (2016).

[Crossref]

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

A. H. Ibrahim, F. S. Roux, M. McLaren, T. Konrad, and A. Forbes, “Orbital-angular-momentum entanglement in turbulence,” Phys. Rev. A 88, 012312 (2013).

[Crossref]

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

A. H. Ibrahim, F. S. Roux, M. McLaren, T. Konrad, and A. Forbes, “Orbital-angular-momentum entanglement in turbulence,” Phys. Rev. A 88, 012312 (2013).

[Crossref]

N. Farwell and O. Korotkova, “Intensity and coherence properties of light in oceanic turbulence,” Opt. Commun. 285, 872–875 (2012).

[Crossref]

E. M. Laine, J. Piilo, and H. P. Breuer, “Witness for initial system-environment correlations in open-system dynamics,” Europhys. Lett. 92, 60010 (2010).

[Crossref]

H. P. Breuer, E. M. Laine, and J. Piilo, “Measure for the degree of non-Markovian behavior of quantum processes in open systems,” Phys. Rev. Lett. 103, 210401 (2009).

[Crossref]

A. Gilchrist, N. K. Langford, and M. A. Nielsen, “Distance measures to compare real and ideal quantum processes,” Phys. Rev. A 71, 062310 (2004).

[Crossref]

S. Rana, P. Parashar, and M. Lewenstein, “Trace-distance measure of coherence,” Phys. Rev. A 93, 012110 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM-based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Q. Huang, “Propagation properties of an optical vortex carried by a Bessel-Gaussian beam in anisotropic turbulence,” J. Opt. Soc. Am. A. 33, 1442–1450 (2016).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

S. Tarantino, B. D. Lio, D. Cozzolino, and D. Bacco, “Feasibility of quantum communications in aquatic scenarios,” Optik 216, 164639 (2020).

[Crossref]

S. Lloyd, “Capacity of the noisy quantum channel,” Phys. Rev. A 55, 1613–1622 (1997).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

A. H. Ibrahim, F. S. Roux, M. McLaren, T. Konrad, and A. Forbes, “Orbital-angular-momentum entanglement in turbulence,” Phys. Rev. A 88, 012312 (2013).

[Crossref]

M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express 20, 23589–23597 (2012).

[Crossref]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88, 013601 (2002).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

A. Gilchrist, N. K. Langford, and M. A. Nielsen, “Distance measures to compare real and ideal quantum processes,” Phys. Rev. A 71, 062310 (2004).

[Crossref]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2010).

V. V. Nikishov and V. I. Nikishov, “Spectrum of turbulence fluctuations of the sea-water refraction index,” Int. J. Fluid Mech. Res. 27, 82–98 (2000).

[Crossref]

V. V. Nikishov and V. I. Nikishov, “Spectrum of turbulence fluctuations of the sea-water refraction index,” Int. J. Fluid Mech. Res. 27, 82–98 (2000).

[Crossref]

F. Gori, G. Guattari, and C. Padovani, “Bessel-Gauss beams,” Opt. Commun. 64, 491–495 (1987).

[Crossref]

S. Rana, P. Parashar, and M. Lewenstein, “Trace-distance measure of coherence,” Phys. Rev. A 93, 012110 (2016).

[Crossref]

C. Paterson, “Atmospheric turbulence and orbital angular momentum of single photons for optical communication,” Phys. Rev. Lett. 94, 153901 (2005).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).

E. M. Laine, J. Piilo, and H. P. Breuer, “Witness for initial system-environment correlations in open-system dynamics,” Europhys. Lett. 92, 60010 (2010).

[Crossref]

H. P. Breuer, E. M. Laine, and J. Piilo, “Measure for the degree of non-Markovian behavior of quantum processes in open systems,” Phys. Rev. Lett. 103, 210401 (2009).

[Crossref]

S. Rana, P. Parashar, and M. Lewenstein, “Trace-distance measure of coherence,” Phys. Rev. A 93, 012110 (2016).

[Crossref]

B. J. Smith and M. G. Raymer, “Two-photon wave mechanics,” Phys. Rev. A 74, 062104 (2006).

[Crossref]

J. C. Ricklin and F. M. Davidson, “Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication,” J. Opt. Soc. Am. 19, 1794–1802 (2002).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

A. H. Ibrahim, F. S. Roux, M. McLaren, T. Konrad, and A. Forbes, “Orbital-angular-momentum entanglement in turbulence,” Phys. Rev. A 88, 012312 (2013).

[Crossref]

M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express 20, 23589–23597 (2012).

[Crossref]

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

B. J. Smith and M. G. Raymer, “Two-photon wave mechanics,” Phys. Rev. A 74, 062104 (2006).

[Crossref]

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

S. Tarantino, B. D. Lio, D. Cozzolino, and D. Bacco, “Feasibility of quantum communications in aquatic scenarios,” Optik 216, 164639 (2020).

[Crossref]

L. Torner, J. P. Torres, and S. Carrasco, “Digital spiral imaging,” Opt. Express 13, 873–881 (2005).

[Crossref]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88, 013601 (2002).

[Crossref]

L. Torner, J. P. Torres, and S. Carrasco, “Digital spiral imaging,” Opt. Express 13, 873–881 (2005).

[Crossref]

G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett. 88, 013601 (2002).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

Y. Zhang, Z. Hu, Q. Yu, and Y. Zhu, “Spreading and wandering of Gaussian-Schell model laser beams in an anisotropic turbulent ocean,” Laser Phys. 26, 095001 (2016).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

F. Hufnagel, A. Sit, F. Bouchard, Y. Zhang, D. England, K. Heshami, B. J. Sussman, and E. Karimi, “Investigation of underwater quantum channels in a 30 meter flume tank using structured photons,” New J. Phys. 22, 093074 (2020).

[Crossref]

S. Deng, Y. Zhu, and Y. Zhang, “Received probability of vortex modes carried by localized wave of Bessel-Gaussian amplitude envelope in turbulent seawater,” J. Mar. Sci. Eng. 7, 203–214 (2019).

[Crossref]

Y. Li, L. Yu, and Y. Zhang, “Influence of anisotropic turbulence on the orbital angular momentum modes of Hermite-Gaussian vortex beam in the ocean,” Opt. Express 25, 12203–12215 (2017).

[Crossref]

B. Ndagano, B. Perez-Garcia, F. S. Roux, M. McLaren, C. Rosales-Guzman, Y. Zhang, O. Mouane, R. I. Hernandez-Aranda, T. Konrad, and A. Forbes, “Characterizing quantum channels with non-separable states of classical light,” Nat. Phys. 13, 397–402 (2017).

[Crossref]

Y. Zhang, Z. Hu, Q. Yu, and Y. Zhu, “Spreading and wandering of Gaussian-Schell model laser beams in an anisotropic turbulent ocean,” Laser Phys. 26, 095001 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM-based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

Y. Zhang, M. Cheng, Y. Zhu, J. Gao, W. Dan, Z. Hu, and F. Zhao, “Influence of atmospheric turbulence on the transmission of orbital angular momentum for Whittaker-Gaussian laser beams,” Opt. Express 22, 22101–22110 (2014).

[Crossref]

Y. Zhang, I. B. Djordjevic, and X. Gao, “On the quantum-channel capacity for orbital angular momentum-based free-space optical communications,” Opt. Lett. 37, 3267–3269 (2012).

[Crossref]

S. Zhao, W. Zhang, L. Wang, W. Li, L. Gong, W. Cheng, H. Chen, and J. Gruska, “Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment,” Sci. Rep. 9, 2025 (2019).

[Crossref]

S. Deng, Y. Zhu, and Y. Zhang, “Received probability of vortex modes carried by localized wave of Bessel-Gaussian amplitude envelope in turbulent seawater,” J. Mar. Sci. Eng. 7, 203–214 (2019).

[Crossref]

Y. Zhang, Z. Hu, Q. Yu, and Y. Zhu, “Spreading and wandering of Gaussian-Schell model laser beams in an anisotropic turbulent ocean,” Laser Phys. 26, 095001 (2016).

[Crossref]

Y. Zhang, M. Cheng, Y. Zhu, J. Gao, W. Dan, Z. Hu, and F. Zhao, “Influence of atmospheric turbulence on the transmission of orbital angular momentum for Whittaker-Gaussian laser beams,” Opt. Express 22, 22101–22110 (2014).

[Crossref]

E. M. Laine, J. Piilo, and H. P. Breuer, “Witness for initial system-environment correlations in open-system dynamics,” Europhys. Lett. 92, 60010 (2010).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM-based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

S. A. Holevo, “The capacity of the quantum channel with general signal states,” IEEE Trans. Inf. Theory 44, 269–273 (1998).

[Crossref]

V. V. Nikishov and V. I. Nikishov, “Spectrum of turbulence fluctuations of the sea-water refraction index,” Int. J. Fluid Mech. Res. 27, 82–98 (2000).

[Crossref]

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