R. Baskov and O. Chumak, “Laser-beam scintillations for weak and moderate turbulence,” Phys. Rev. A 97, 043817 (2018).

[Crossref]

P. Papanastasiou, C. Weedbrook, and S. Pirandola, “Continuous-variable quantum key distribution in uniform fast-fading channels,” Phys. Rev. A 97, 032311 (2018).

[Crossref]

D. Vasylyev, W. Vogel, and A. Semenov, “Theory of atmospheric quantum channels based on the law of total probability,” Phys. Rev. A 97, 063852 (2018).

[Crossref]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

R. Bedington, J. M. Arrazola, and A. Ling, “Progress in satellite quantum key distribution,” npj Quantum Inf. 3, 30 (2017).

[Crossref]

H. Kaushal and G. Kaddoum, “Optical communication in space: Challenges and mitigation techniques,” IEEE Commun. Surv. Tutor. 19, 57–96 (2017).

[Crossref]

I. K. Son and S. Mao, “A survey of free space optical networks,” Digital Communications and Networks 3, 67–77 (2017).

[Crossref]

A. ArockiaBazilRaj and U. Darusalam, “Performance improvement of terrestrial free-space optical communications by mitigating the focal-spot wandering,” J. Mod. Opt. 63, 2339–2347 (2016).

[Crossref]

V. C. Usenko and R. Filip, “Trusted noise in continuous-variable quantum key distribution: A threat and a defense,” Entropy 18, 20 (2016).

[Crossref]

D. Vasylyev, A. Semenov, and W. Vogel, “Atmospheric quantum channels with weak and strong turbulence,” Phys. Rev. Lett. 117, 090501 (2016).

[Crossref]
[PubMed]

M. Bohmann, A. A. Semenov, J. Sperling, and W. Vogel, “Gaussian entanglement in the turbulent atmosphere,” Phys. Rev. A 94, 010302 (2016).

[Crossref]

D. Huang, P. Huang, D. Lin, and G. Zeng, “Long-distance continuous-variable quantum key distribution by controlling excess noise,” Sci. Rep. 6, 19201 (2016).

[Crossref]
[PubMed]

E. Diamanti and A. Leverrier, “Distributing secret keys with quantum continuous variables: Principle, security and implementations,” Entropy 17, 6072–6092 (2015).

[Crossref]

N. Hosseinidehaj and R. Malaney, “Gaussian entanglement distribution via satellite,” Phys. Rev. A 91, 022304 (2015).

[Crossref]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

L. Ruppert, V. C. Usenko, and R. Filip, “Long-distance continuous-variable quantum key distribution with efficient channel estimation,” Phys. Rev. A 90, 062310 (2014).

[Crossref]

M. Hulea, Z. Ghassemlooy, S. Rajbhandari, and X. Tang, “Compensating for optical beam scattering and wandering in fso communications,” J. Light. Technol. 32, 1323–1328 (2014).

[Crossref]

T. Eberle, V. Händchen, and R. Schnabel, “Stable control of 10 db two-mode squeezed vacuum states of light,” Opt. Express 21, 11546–11553 (2013).

[Crossref]
[PubMed]

A. Leverrier, R. García-Patrón, R. Renner, and N. J. Cerf, “Security of continuous-variable quantum key distribution against general attacks,” Phys. Rev. Lett. 110, 030502 (2013).

[Crossref]
[PubMed]

P. Jouguet, S. Kunz-Jacques, A. Leverrier, P. Grangier, and E. Diamanti, “Experimental demonstration of long-distance continuous-variable quantum key distribution,” Nat. Photonics 7, 378–381 (2013).

[Crossref]

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

[Crossref]

L. S. Madsen, V. C. Usenko, M. Lassen, R. Filip, and U. L. Andersen, “Continuous variable quantum key distribution with modulated entangled states,” Nat. Commun. 3, 1083 (2012).

[Crossref]
[PubMed]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

D. Y. Vasylyev, A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).

[Crossref]
[PubMed]

P. Jouguet, S. Kunz-Jacques, and A. Leverrier, “Long-distance continuous-variable quantum key distribution with a Gaussian modulation,” Phys. Rev. A 84, 062317 (2011).

[Crossref]

H. Guo, B. Luo, Y. Ren, S. Zhao, and A. Dang, “Influence of beam wander on uplink of ground-to-satellite laser communication and optimization for transmitter beam radius,” Opt. Lett. 35, 1977–1979 (2010).

[Crossref]
[PubMed]

Y. Ren, A. Dang, B. Luo, and H. Guo, “Capacities for long-distance free-space optical links under beam wander effects,” IEEE Photonics Technol. Lett. 22, 1069–1071 (2010).

[Crossref]

A. Leverrier, F. Grosshans, and P. Grangier, “Finite-size analysis of a continuous-variable quantum key distribution,” Phys. Rev. A 81, 062343 (2010).

[Crossref]

A. A. Semenov and W. Vogel, “Quantum light in the turbulent atmosphere,” Phys. Rev. A 80, 021802 (2009).

[Crossref]

X. Liu, “Free-space optics optimization models for building sway and atmospheric interference using variable wavelength,” IEEE Trans. Commun. 57, 492–498 (2009).

[Crossref]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

S. Pirandola, S. L. Braunstein, and S. Lloyd, “Characterization of collective Gaussian attacks and security of coherent-state quantum cryptography,” Phys. Rev. Lett. 101, 200504 (2008).

[Crossref]

B. Epple and H. Henniger, “Discussion on design aspects for free-space optical communication terminals,” IEEE Commun. Mag. 45, 62 (2007).

[Crossref]

S. M. Navidpour, M. Uysal, and M. Kavehrad, “Ber performance of free-space optical transmission with spatial diversity,” IEEE Trans. Wirel. Commun. 6, 2813 (2007).

[Crossref]

M. Navascués, F. Grosshans, and A. Acín, “Optimality of Gaussian attacks in continuous-variable quantum cryptography,” Phys. Rev. Lett. 97, 190502 (2006).

[Crossref]
[PubMed]

R. García-Patrón and N. J. Cerf, “Unconditional optimality of Gaussian attacks against continuous-variable quantum key distribution,” Phys. Rev. Lett. 97, 190503 (2006).

[Crossref]
[PubMed]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

G. Berman and A. Chumak, “Photon distribution function for long-distance propagation of partially coherent beams through the turbulent atmosphere,” Phys. Rev. A 74, 013805 (2006).

[Crossref]

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513 (2005).

[Crossref]

I. Devetak and A. Winter, “Distillation of secret key and entanglement from quantum states,” Proc. Royal Soc. A: Math. Phys. Eng. Sci. 461, 207–235 (2005).

[Crossref]

E. J. Lee and V. W. Chan, “Part 1: Optical communication over the clear turbulent atmospheric channel using diversity,” IEEE J. Sel. Areas Commun. 22, 1896–1906 (2004).

[Crossref]

F. Grosshans, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Virtual entanglement and reconciliation protocols for quantum cryptography with continuous variables,” Quantum Inf. Comput. 3, 535–552 (2003).

F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, “Quantum key distribution using gaussian-modulated coherent states,” Nature 421, 238–241 (2003).

[Crossref]
[PubMed]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002).

[Crossref]

F. Grosshans and P. Grangier, “Continuous variable quantum cryptography using coherent states,” Phys. Rev. Lett. 88, 057902 (2002).

[Crossref]
[PubMed]

G. Vidal and R. F. Werner, “Computable measure of entanglement,” Phys. Rev. A 65, 032314 (2002).

[Crossref]

N. J. Cerf, M. Levy, and G. Van Assche, “Quantum distribution of gaussian keys using squeezed states,” Phys. Rev. A 63, 052311 (2001).

[Crossref]

A. S. Holevo and R. F. Werner, “Evaluating capacities of bosonic Gaussian channels,” Phys. Rev. A 63, 032312 (2001).

[Crossref]

T. C. Ralph, “Continuous variable quantum cryptography,” Phys. Rev. A 61, 010303 (1999).

[Crossref]

G. Baister and P. Gatenby, “Pointing, acquisition and tracking for optical space communications,” Electron. & Commun. Eng. J. 6, 271–280 (1994).

[Crossref]

M. Navascués, F. Grosshans, and A. Acín, “Optimality of Gaussian attacks in continuous-variable quantum cryptography,” Phys. Rev. Lett. 97, 190502 (2006).

[Crossref]
[PubMed]

L. S. Madsen, V. C. Usenko, M. Lassen, R. Filip, and U. L. Andersen, “Continuous variable quantum key distribution with modulated entangled states,” Nat. Commun. 3, 1083 (2012).

[Crossref]
[PubMed]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser beam scintillation with applications, vol. 99 (SPIE press, 2001).

[Crossref]

A. ArockiaBazilRaj and U. Darusalam, “Performance improvement of terrestrial free-space optical communications by mitigating the focal-spot wandering,” J. Mod. Opt. 63, 2339–2347 (2016).

[Crossref]

R. Bedington, J. M. Arrazola, and A. Ling, “Progress in satellite quantum key distribution,” npj Quantum Inf. 3, 30 (2017).

[Crossref]

G. Baister and P. Gatenby, “Pointing, acquisition and tracking for optical space communications,” Electron. & Commun. Eng. J. 6, 271–280 (1994).

[Crossref]

R. Baskov and O. Chumak, “Laser-beam scintillations for weak and moderate turbulence,” Phys. Rev. A 97, 043817 (2018).

[Crossref]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

R. Bedington, J. M. Arrazola, and A. Ling, “Progress in satellite quantum key distribution,” npj Quantum Inf. 3, 30 (2017).

[Crossref]

G. Berman and A. Chumak, “Photon distribution function for long-distance propagation of partially coherent beams through the turbulent atmosphere,” Phys. Rev. A 74, 013805 (2006).

[Crossref]

M. Bohmann, A. A. Semenov, J. Sperling, and W. Vogel, “Gaussian entanglement in the turbulent atmosphere,” Phys. Rev. A 94, 010302 (2016).

[Crossref]

S. Pirandola, S. L. Braunstein, and S. Lloyd, “Characterization of collective Gaussian attacks and security of coherent-state quantum cryptography,” Phys. Rev. Lett. 101, 200504 (2008).

[Crossref]

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513 (2005).

[Crossref]

F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, “Quantum key distribution using gaussian-modulated coherent states,” Nature 421, 238–241 (2003).

[Crossref]
[PubMed]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

A. Leverrier, R. García-Patrón, R. Renner, and N. J. Cerf, “Security of continuous-variable quantum key distribution against general attacks,” Phys. Rev. Lett. 110, 030502 (2013).

[Crossref]
[PubMed]

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

[Crossref]

R. García-Patrón and N. J. Cerf, “Unconditional optimality of Gaussian attacks against continuous-variable quantum key distribution,” Phys. Rev. Lett. 97, 190503 (2006).

[Crossref]
[PubMed]

F. Grosshans, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Virtual entanglement and reconciliation protocols for quantum cryptography with continuous variables,” Quantum Inf. Comput. 3, 535–552 (2003).

F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, “Quantum key distribution using gaussian-modulated coherent states,” Nature 421, 238–241 (2003).

[Crossref]
[PubMed]

N. J. Cerf, M. Levy, and G. Van Assche, “Quantum distribution of gaussian keys using squeezed states,” Phys. Rev. A 63, 052311 (2001).

[Crossref]

E. J. Lee and V. W. Chan, “Part 1: Optical communication over the clear turbulent atmospheric channel using diversity,” IEEE J. Sel. Areas Commun. 22, 1896–1906 (2004).

[Crossref]

G. Berman and A. Chumak, “Photon distribution function for long-distance propagation of partially coherent beams through the turbulent atmosphere,” Phys. Rev. A 74, 013805 (2006).

[Crossref]

R. Baskov and O. Chumak, “Laser-beam scintillations for weak and moderate turbulence,” Phys. Rev. A 97, 043817 (2018).

[Crossref]

H. Guo, B. Luo, Y. Ren, S. Zhao, and A. Dang, “Influence of beam wander on uplink of ground-to-satellite laser communication and optimization for transmitter beam radius,” Opt. Lett. 35, 1977–1979 (2010).

[Crossref]
[PubMed]

Y. Ren, A. Dang, B. Luo, and H. Guo, “Capacities for long-distance free-space optical links under beam wander effects,” IEEE Photonics Technol. Lett. 22, 1069–1071 (2010).

[Crossref]

A. ArockiaBazilRaj and U. Darusalam, “Performance improvement of terrestrial free-space optical communications by mitigating the focal-spot wandering,” J. Mod. Opt. 63, 2339–2347 (2016).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

I. Derkach, V. C. Usenko, and R. Filip, “Squeezing-enhanced quantum key distribution over atmospheric channels,” arXiv:1809.10167 [quant-ph] (2018).

I. Devetak and A. Winter, “Distillation of secret key and entanglement from quantum states,” Proc. Royal Soc. A: Math. Phys. Eng. Sci. 461, 207–235 (2005).

[Crossref]

E. Diamanti and A. Leverrier, “Distributing secret keys with quantum continuous variables: Principle, security and implementations,” Entropy 17, 6072–6092 (2015).

[Crossref]

P. Jouguet, S. Kunz-Jacques, A. Leverrier, P. Grangier, and E. Diamanti, “Experimental demonstration of long-distance continuous-variable quantum key distribution,” Nat. Photonics 7, 378–381 (2013).

[Crossref]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

B. Epple and H. Henniger, “Discussion on design aspects for free-space optical communication terminals,” IEEE Commun. Mag. 45, 62 (2007).

[Crossref]

V. C. Usenko and R. Filip, “Trusted noise in continuous-variable quantum key distribution: A threat and a defense,” Entropy 18, 20 (2016).

[Crossref]

L. Ruppert, V. C. Usenko, and R. Filip, “Long-distance continuous-variable quantum key distribution with efficient channel estimation,” Phys. Rev. A 90, 062310 (2014).

[Crossref]

L. S. Madsen, V. C. Usenko, M. Lassen, R. Filip, and U. L. Andersen, “Continuous variable quantum key distribution with modulated entangled states,” Nat. Commun. 3, 1083 (2012).

[Crossref]
[PubMed]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

I. Derkach, V. C. Usenko, and R. Filip, “Squeezing-enhanced quantum key distribution over atmospheric channels,” arXiv:1809.10167 [quant-ph] (2018).

A. Leverrier, R. García-Patrón, R. Renner, and N. J. Cerf, “Security of continuous-variable quantum key distribution against general attacks,” Phys. Rev. Lett. 110, 030502 (2013).

[Crossref]
[PubMed]

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

[Crossref]

R. García-Patrón and N. J. Cerf, “Unconditional optimality of Gaussian attacks against continuous-variable quantum key distribution,” Phys. Rev. Lett. 97, 190503 (2006).

[Crossref]
[PubMed]

G. Baister and P. Gatenby, “Pointing, acquisition and tracking for optical space communications,” Electron. & Commun. Eng. J. 6, 271–280 (1994).

[Crossref]

M. Hulea, Z. Ghassemlooy, S. Rajbhandari, and X. Tang, “Compensating for optical beam scattering and wandering in fso communications,” J. Light. Technol. 32, 1323–1328 (2014).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002).

[Crossref]

P. Jouguet, S. Kunz-Jacques, A. Leverrier, P. Grangier, and E. Diamanti, “Experimental demonstration of long-distance continuous-variable quantum key distribution,” Nat. Photonics 7, 378–381 (2013).

[Crossref]

A. Leverrier, F. Grosshans, and P. Grangier, “Finite-size analysis of a continuous-variable quantum key distribution,” Phys. Rev. A 81, 062343 (2010).

[Crossref]

F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, “Quantum key distribution using gaussian-modulated coherent states,” Nature 421, 238–241 (2003).

[Crossref]
[PubMed]

F. Grosshans, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Virtual entanglement and reconciliation protocols for quantum cryptography with continuous variables,” Quantum Inf. Comput. 3, 535–552 (2003).

F. Grosshans and P. Grangier, “Continuous variable quantum cryptography using coherent states,” Phys. Rev. Lett. 88, 057902 (2002).

[Crossref]
[PubMed]

A. Leverrier, F. Grosshans, and P. Grangier, “Finite-size analysis of a continuous-variable quantum key distribution,” Phys. Rev. A 81, 062343 (2010).

[Crossref]

M. Navascués, F. Grosshans, and A. Acín, “Optimality of Gaussian attacks in continuous-variable quantum cryptography,” Phys. Rev. Lett. 97, 190502 (2006).

[Crossref]
[PubMed]

F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, “Quantum key distribution using gaussian-modulated coherent states,” Nature 421, 238–241 (2003).

[Crossref]
[PubMed]

F. Grosshans, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Virtual entanglement and reconciliation protocols for quantum cryptography with continuous variables,” Quantum Inf. Comput. 3, 535–552 (2003).

F. Grosshans and P. Grangier, “Continuous variable quantum cryptography using coherent states,” Phys. Rev. Lett. 88, 057902 (2002).

[Crossref]
[PubMed]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

H. Guo, B. Luo, Y. Ren, S. Zhao, and A. Dang, “Influence of beam wander on uplink of ground-to-satellite laser communication and optimization for transmitter beam radius,” Opt. Lett. 35, 1977–1979 (2010).

[Crossref]
[PubMed]

Y. Ren, A. Dang, B. Luo, and H. Guo, “Capacities for long-distance free-space optical links under beam wander effects,” IEEE Photonics Technol. Lett. 22, 1069–1071 (2010).

[Crossref]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

B. Epple and H. Henniger, “Discussion on design aspects for free-space optical communication terminals,” IEEE Commun. Mag. 45, 62 (2007).

[Crossref]

A. S. Holevo and R. F. Werner, “Evaluating capacities of bosonic Gaussian channels,” Phys. Rev. A 63, 032312 (2001).

[Crossref]

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser beam scintillation with applications, vol. 99 (SPIE press, 2001).

[Crossref]

N. Hosseinidehaj and R. Malaney, “Gaussian entanglement distribution via satellite,” Phys. Rev. A 91, 022304 (2015).

[Crossref]

D. Huang, P. Huang, D. Lin, and G. Zeng, “Long-distance continuous-variable quantum key distribution by controlling excess noise,” Sci. Rep. 6, 19201 (2016).

[Crossref]
[PubMed]

D. Huang, P. Huang, D. Lin, and G. Zeng, “Long-distance continuous-variable quantum key distribution by controlling excess noise,” Sci. Rep. 6, 19201 (2016).

[Crossref]
[PubMed]

M. Hulea, Z. Ghassemlooy, S. Rajbhandari, and X. Tang, “Compensating for optical beam scattering and wandering in fso communications,” J. Light. Technol. 32, 1323–1328 (2014).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

P. Jouguet, S. Kunz-Jacques, A. Leverrier, P. Grangier, and E. Diamanti, “Experimental demonstration of long-distance continuous-variable quantum key distribution,” Nat. Photonics 7, 378–381 (2013).

[Crossref]

P. Jouguet, S. Kunz-Jacques, and A. Leverrier, “Long-distance continuous-variable quantum key distribution with a Gaussian modulation,” Phys. Rev. A 84, 062317 (2011).

[Crossref]

H. Kaushal and G. Kaddoum, “Optical communication in space: Challenges and mitigation techniques,” IEEE Commun. Surv. Tutor. 19, 57–96 (2017).

[Crossref]

H. Kaushal and G. Kaddoum, “Optical communication in space: Challenges and mitigation techniques,” IEEE Commun. Surv. Tutor. 19, 57–96 (2017).

[Crossref]

S. M. Navidpour, M. Uysal, and M. Kavehrad, “Ber performance of free-space optical transmission with spatial diversity,” IEEE Trans. Wirel. Commun. 6, 2813 (2007).

[Crossref]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

P. Jouguet, S. Kunz-Jacques, A. Leverrier, P. Grangier, and E. Diamanti, “Experimental demonstration of long-distance continuous-variable quantum key distribution,” Nat. Photonics 7, 378–381 (2013).

[Crossref]

P. Jouguet, S. Kunz-Jacques, and A. Leverrier, “Long-distance continuous-variable quantum key distribution with a Gaussian modulation,” Phys. Rev. A 84, 062317 (2011).

[Crossref]

L. S. Madsen, V. C. Usenko, M. Lassen, R. Filip, and U. L. Andersen, “Continuous variable quantum key distribution with modulated entangled states,” Nat. Commun. 3, 1083 (2012).

[Crossref]
[PubMed]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

E. J. Lee and V. W. Chan, “Part 1: Optical communication over the clear turbulent atmospheric channel using diversity,” IEEE J. Sel. Areas Commun. 22, 1896–1906 (2004).

[Crossref]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

E. Diamanti and A. Leverrier, “Distributing secret keys with quantum continuous variables: Principle, security and implementations,” Entropy 17, 6072–6092 (2015).

[Crossref]

A. Leverrier, R. García-Patrón, R. Renner, and N. J. Cerf, “Security of continuous-variable quantum key distribution against general attacks,” Phys. Rev. Lett. 110, 030502 (2013).

[Crossref]
[PubMed]

P. Jouguet, S. Kunz-Jacques, A. Leverrier, P. Grangier, and E. Diamanti, “Experimental demonstration of long-distance continuous-variable quantum key distribution,” Nat. Photonics 7, 378–381 (2013).

[Crossref]

P. Jouguet, S. Kunz-Jacques, and A. Leverrier, “Long-distance continuous-variable quantum key distribution with a Gaussian modulation,” Phys. Rev. A 84, 062317 (2011).

[Crossref]

A. Leverrier, F. Grosshans, and P. Grangier, “Finite-size analysis of a continuous-variable quantum key distribution,” Phys. Rev. A 81, 062343 (2010).

[Crossref]

N. J. Cerf, M. Levy, and G. Van Assche, “Quantum distribution of gaussian keys using squeezed states,” Phys. Rev. A 63, 052311 (2001).

[Crossref]

D. Huang, P. Huang, D. Lin, and G. Zeng, “Long-distance continuous-variable quantum key distribution by controlling excess noise,” Sci. Rep. 6, 19201 (2016).

[Crossref]
[PubMed]

R. Bedington, J. M. Arrazola, and A. Ling, “Progress in satellite quantum key distribution,” npj Quantum Inf. 3, 30 (2017).

[Crossref]

X. Liu, “Free-space optics optimization models for building sway and atmospheric interference using variable wavelength,” IEEE Trans. Commun. 57, 492–498 (2009).

[Crossref]

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

[Crossref]

S. Pirandola, S. L. Braunstein, and S. Lloyd, “Characterization of collective Gaussian attacks and security of coherent-state quantum cryptography,” Phys. Rev. Lett. 101, 200504 (2008).

[Crossref]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

H. Guo, B. Luo, Y. Ren, S. Zhao, and A. Dang, “Influence of beam wander on uplink of ground-to-satellite laser communication and optimization for transmitter beam radius,” Opt. Lett. 35, 1977–1979 (2010).

[Crossref]
[PubMed]

Y. Ren, A. Dang, B. Luo, and H. Guo, “Capacities for long-distance free-space optical links under beam wander effects,” IEEE Photonics Technol. Lett. 22, 1069–1071 (2010).

[Crossref]

L. S. Madsen, V. C. Usenko, M. Lassen, R. Filip, and U. L. Andersen, “Continuous variable quantum key distribution with modulated entangled states,” Nat. Commun. 3, 1083 (2012).

[Crossref]
[PubMed]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

N. Hosseinidehaj and R. Malaney, “Gaussian entanglement distribution via satellite,” Phys. Rev. A 91, 022304 (2015).

[Crossref]

I. K. Son and S. Mao, “A survey of free space optical networks,” Digital Communications and Networks 3, 67–77 (2017).

[Crossref]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

M. Navascués, F. Grosshans, and A. Acín, “Optimality of Gaussian attacks in continuous-variable quantum cryptography,” Phys. Rev. Lett. 97, 190502 (2006).

[Crossref]
[PubMed]

S. M. Navidpour, M. Uysal, and M. Kavehrad, “Ber performance of free-space optical transmission with spatial diversity,” IEEE Trans. Wirel. Commun. 6, 2813 (2007).

[Crossref]

P. Papanastasiou, C. Weedbrook, and S. Pirandola, “Continuous-variable quantum key distribution in uniform fast-fading channels,” Phys. Rev. A 97, 032311 (2018).

[Crossref]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser beam scintillation with applications, vol. 99 (SPIE press, 2001).

[Crossref]

P. Papanastasiou, C. Weedbrook, and S. Pirandola, “Continuous-variable quantum key distribution in uniform fast-fading channels,” Phys. Rev. A 97, 032311 (2018).

[Crossref]

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

[Crossref]

S. Pirandola, S. L. Braunstein, and S. Lloyd, “Characterization of collective Gaussian attacks and security of coherent-state quantum cryptography,” Phys. Rev. Lett. 101, 200504 (2008).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

M. Hulea, Z. Ghassemlooy, S. Rajbhandari, and X. Tang, “Compensating for optical beam scattering and wandering in fso communications,” J. Light. Technol. 32, 1323–1328 (2014).

[Crossref]

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

[Crossref]

T. C. Ralph, “Continuous variable quantum cryptography,” Phys. Rev. A 61, 010303 (1999).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

Y. Ren, A. Dang, B. Luo, and H. Guo, “Capacities for long-distance free-space optical links under beam wander effects,” IEEE Photonics Technol. Lett. 22, 1069–1071 (2010).

[Crossref]

H. Guo, B. Luo, Y. Ren, S. Zhao, and A. Dang, “Influence of beam wander on uplink of ground-to-satellite laser communication and optimization for transmitter beam radius,” Opt. Lett. 35, 1977–1979 (2010).

[Crossref]
[PubMed]

A. Leverrier, R. García-Patrón, R. Renner, and N. J. Cerf, “Security of continuous-variable quantum key distribution against general attacks,” Phys. Rev. Lett. 110, 030502 (2013).

[Crossref]
[PubMed]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002).

[Crossref]

L. Ruppert, V. C. Usenko, and R. Filip, “Long-distance continuous-variable quantum key distribution with efficient channel estimation,” Phys. Rev. A 90, 062310 (2014).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

D. Vasylyev, W. Vogel, and A. Semenov, “Theory of atmospheric quantum channels based on the law of total probability,” Phys. Rev. A 97, 063852 (2018).

[Crossref]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

D. Vasylyev, A. Semenov, and W. Vogel, “Atmospheric quantum channels with weak and strong turbulence,” Phys. Rev. Lett. 117, 090501 (2016).

[Crossref]
[PubMed]

D. Y. Vasylyev, A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).

[Crossref]
[PubMed]

M. Bohmann, A. A. Semenov, J. Sperling, and W. Vogel, “Gaussian entanglement in the turbulent atmosphere,” Phys. Rev. A 94, 010302 (2016).

[Crossref]

A. A. Semenov and W. Vogel, “Quantum light in the turbulent atmosphere,” Phys. Rev. A 80, 021802 (2009).

[Crossref]

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

[Crossref]

I. K. Son and S. Mao, “A survey of free space optical networks,” Digital Communications and Networks 3, 67–77 (2017).

[Crossref]

M. Bohmann, A. A. Semenov, J. Sperling, and W. Vogel, “Gaussian entanglement in the turbulent atmosphere,” Phys. Rev. A 94, 010302 (2016).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

M. Hulea, Z. Ghassemlooy, S. Rajbhandari, and X. Tang, “Compensating for optical beam scattering and wandering in fso communications,” J. Light. Technol. 32, 1323–1328 (2014).

[Crossref]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002).

[Crossref]

F. Grosshans, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Virtual entanglement and reconciliation protocols for quantum cryptography with continuous variables,” Quantum Inf. Comput. 3, 535–552 (2003).

V. C. Usenko and R. Filip, “Trusted noise in continuous-variable quantum key distribution: A threat and a defense,” Entropy 18, 20 (2016).

[Crossref]

L. Ruppert, V. C. Usenko, and R. Filip, “Long-distance continuous-variable quantum key distribution with efficient channel estimation,” Phys. Rev. A 90, 062310 (2014).

[Crossref]

L. S. Madsen, V. C. Usenko, M. Lassen, R. Filip, and U. L. Andersen, “Continuous variable quantum key distribution with modulated entangled states,” Nat. Commun. 3, 1083 (2012).

[Crossref]
[PubMed]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

I. Derkach, V. C. Usenko, and R. Filip, “Squeezing-enhanced quantum key distribution over atmospheric channels,” arXiv:1809.10167 [quant-ph] (2018).

S. M. Navidpour, M. Uysal, and M. Kavehrad, “Ber performance of free-space optical transmission with spatial diversity,” IEEE Trans. Wirel. Commun. 6, 2813 (2007).

[Crossref]

F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, “Quantum key distribution using gaussian-modulated coherent states,” Nature 421, 238–241 (2003).

[Crossref]
[PubMed]

N. J. Cerf, M. Levy, and G. Van Assche, “Quantum distribution of gaussian keys using squeezed states,” Phys. Rev. A 63, 052311 (2001).

[Crossref]

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513 (2005).

[Crossref]

D. Vasylyev, W. Vogel, and A. Semenov, “Theory of atmospheric quantum channels based on the law of total probability,” Phys. Rev. A 97, 063852 (2018).

[Crossref]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

D. Vasylyev, A. Semenov, and W. Vogel, “Atmospheric quantum channels with weak and strong turbulence,” Phys. Rev. Lett. 117, 090501 (2016).

[Crossref]
[PubMed]

D. Y. Vasylyev, A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).

[Crossref]
[PubMed]

G. Vidal and R. F. Werner, “Computable measure of entanglement,” Phys. Rev. A 65, 032314 (2002).

[Crossref]

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

D. Vasylyev, W. Vogel, and A. Semenov, “Theory of atmospheric quantum channels based on the law of total probability,” Phys. Rev. A 97, 063852 (2018).

[Crossref]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

M. Bohmann, A. A. Semenov, J. Sperling, and W. Vogel, “Gaussian entanglement in the turbulent atmosphere,” Phys. Rev. A 94, 010302 (2016).

[Crossref]

D. Vasylyev, A. Semenov, and W. Vogel, “Atmospheric quantum channels with weak and strong turbulence,” Phys. Rev. Lett. 117, 090501 (2016).

[Crossref]
[PubMed]

D. Y. Vasylyev, A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).

[Crossref]
[PubMed]

A. A. Semenov and W. Vogel, “Quantum light in the turbulent atmosphere,” Phys. Rev. A 80, 021802 (2009).

[Crossref]

P. Papanastasiou, C. Weedbrook, and S. Pirandola, “Continuous-variable quantum key distribution in uniform fast-fading channels,” Phys. Rev. A 97, 032311 (2018).

[Crossref]

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

[Crossref]

F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, “Quantum key distribution using gaussian-modulated coherent states,” Nature 421, 238–241 (2003).

[Crossref]
[PubMed]

F. Grosshans, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Virtual entanglement and reconciliation protocols for quantum cryptography with continuous variables,” Quantum Inf. Comput. 3, 535–552 (2003).

G. Vidal and R. F. Werner, “Computable measure of entanglement,” Phys. Rev. A 65, 032314 (2002).

[Crossref]

A. S. Holevo and R. F. Werner, “Evaluating capacities of bosonic Gaussian channels,” Phys. Rev. A 63, 032312 (2001).

[Crossref]

I. Devetak and A. Winter, “Distillation of secret key and entanglement from quantum states,” Proc. Royal Soc. A: Math. Phys. Eng. Sci. 461, 207–235 (2005).

[Crossref]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002).

[Crossref]

D. Huang, P. Huang, D. Lin, and G. Zeng, “Long-distance continuous-variable quantum key distribution by controlling excess noise,” Sci. Rep. 6, 19201 (2016).

[Crossref]
[PubMed]

I. K. Son and S. Mao, “A survey of free space optical networks,” Digital Communications and Networks 3, 67–77 (2017).

[Crossref]

G. Baister and P. Gatenby, “Pointing, acquisition and tracking for optical space communications,” Electron. & Commun. Eng. J. 6, 271–280 (1994).

[Crossref]

E. Diamanti and A. Leverrier, “Distributing secret keys with quantum continuous variables: Principle, security and implementations,” Entropy 17, 6072–6092 (2015).

[Crossref]

V. C. Usenko and R. Filip, “Trusted noise in continuous-variable quantum key distribution: A threat and a defense,” Entropy 18, 20 (2016).

[Crossref]

B. Epple and H. Henniger, “Discussion on design aspects for free-space optical communication terminals,” IEEE Commun. Mag. 45, 62 (2007).

[Crossref]

H. Kaushal and G. Kaddoum, “Optical communication in space: Challenges and mitigation techniques,” IEEE Commun. Surv. Tutor. 19, 57–96 (2017).

[Crossref]

E. J. Lee and V. W. Chan, “Part 1: Optical communication over the clear turbulent atmospheric channel using diversity,” IEEE J. Sel. Areas Commun. 22, 1896–1906 (2004).

[Crossref]

Y. Ren, A. Dang, B. Luo, and H. Guo, “Capacities for long-distance free-space optical links under beam wander effects,” IEEE Photonics Technol. Lett. 22, 1069–1071 (2010).

[Crossref]

X. Liu, “Free-space optics optimization models for building sway and atmospheric interference using variable wavelength,” IEEE Trans. Commun. 57, 492–498 (2009).

[Crossref]

S. M. Navidpour, M. Uysal, and M. Kavehrad, “Ber performance of free-space optical transmission with spatial diversity,” IEEE Trans. Wirel. Commun. 6, 2813 (2007).

[Crossref]

M. Hulea, Z. Ghassemlooy, S. Rajbhandari, and X. Tang, “Compensating for optical beam scattering and wandering in fso communications,” J. Light. Technol. 32, 1323–1328 (2014).

[Crossref]

A. ArockiaBazilRaj and U. Darusalam, “Performance improvement of terrestrial free-space optical communications by mitigating the focal-spot wandering,” J. Mod. Opt. 63, 2339–2347 (2016).

[Crossref]

L. S. Madsen, V. C. Usenko, M. Lassen, R. Filip, and U. L. Andersen, “Continuous variable quantum key distribution with modulated entangled states,” Nat. Commun. 3, 1083 (2012).

[Crossref]
[PubMed]

P. Jouguet, S. Kunz-Jacques, A. Leverrier, P. Grangier, and E. Diamanti, “Experimental demonstration of long-distance continuous-variable quantum key distribution,” Nat. Photonics 7, 378–381 (2013).

[Crossref]

R. Dong, M. Lassen, J. Heersink, C. Marquardt, R. Filip, G. Leuchs, and U. L. Andersen, “Experimental entanglement distillation of mesoscopic quantum states,” Nat. Phys. 4, 919 (2008).

[Crossref]

F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, “Quantum key distribution using gaussian-modulated coherent states,” Nature 421, 238–241 (2003).

[Crossref]
[PubMed]

V. C. Usenko, B. Heim, C. Peuntinger, C. Wittmann, C. Marquardt, G. Leuchs, and R. Filip, “Entanglement of gaussian states and the applicability to quantum key distribution over fading channels,” New J. Phys. 14, 093048 (2012).

[Crossref]

B. Heim, C. Peuntinger, N. Killoran, I. Khan, C. Wittmann, C. Marquardt, and G. Leuchs, “Atmospheric continuous variable quantum communication,” New J. Phys. 16, 113018 (2014).

[Crossref]

R. Bedington, J. M. Arrazola, and A. Ling, “Progress in satellite quantum key distribution,” npj Quantum Inf. 3, 30 (2017).

[Crossref]

G. Vidal and R. F. Werner, “Computable measure of entanglement,” Phys. Rev. A 65, 032314 (2002).

[Crossref]

D. Vasylyev, W. Vogel, and A. Semenov, “Theory of atmospheric quantum channels based on the law of total probability,” Phys. Rev. A 97, 063852 (2018).

[Crossref]

G. Berman and A. Chumak, “Photon distribution function for long-distance propagation of partially coherent beams through the turbulent atmosphere,” Phys. Rev. A 74, 013805 (2006).

[Crossref]

A. A. Semenov and W. Vogel, “Quantum light in the turbulent atmosphere,” Phys. Rev. A 80, 021802 (2009).

[Crossref]

R. Baskov and O. Chumak, “Laser-beam scintillations for weak and moderate turbulence,” Phys. Rev. A 97, 043817 (2018).

[Crossref]

D. Vasylyev, A. Semenov, W. Vogel, K. Günthner, A. Thurn, Ö. Bayraktar, and C. Marquardt, “Free-space quantum links under diverse weather conditions,” Phys. Rev. A 96, 043856 (2017).

[Crossref]

N. Hosseinidehaj and R. Malaney, “Gaussian entanglement distribution via satellite,” Phys. Rev. A 91, 022304 (2015).

[Crossref]

M. Bohmann, A. A. Semenov, J. Sperling, and W. Vogel, “Gaussian entanglement in the turbulent atmosphere,” Phys. Rev. A 94, 010302 (2016).

[Crossref]

P. Papanastasiou, C. Weedbrook, and S. Pirandola, “Continuous-variable quantum key distribution in uniform fast-fading channels,” Phys. Rev. A 97, 032311 (2018).

[Crossref]

A. S. Holevo and R. F. Werner, “Evaluating capacities of bosonic Gaussian channels,” Phys. Rev. A 63, 032312 (2001).

[Crossref]

P. Jouguet, S. Kunz-Jacques, and A. Leverrier, “Long-distance continuous-variable quantum key distribution with a Gaussian modulation,” Phys. Rev. A 84, 062317 (2011).

[Crossref]

N. J. Cerf, M. Levy, and G. Van Assche, “Quantum distribution of gaussian keys using squeezed states,” Phys. Rev. A 63, 052311 (2001).

[Crossref]

T. C. Ralph, “Continuous variable quantum cryptography,” Phys. Rev. A 61, 010303 (1999).

[Crossref]

A. Leverrier, F. Grosshans, and P. Grangier, “Finite-size analysis of a continuous-variable quantum key distribution,” Phys. Rev. A 81, 062343 (2010).

[Crossref]

L. Ruppert, V. C. Usenko, and R. Filip, “Long-distance continuous-variable quantum key distribution with efficient channel estimation,” Phys. Rev. A 90, 062310 (2014).

[Crossref]

M. Navascués, F. Grosshans, and A. Acín, “Optimality of Gaussian attacks in continuous-variable quantum cryptography,” Phys. Rev. Lett. 97, 190502 (2006).

[Crossref]
[PubMed]

R. García-Patrón and N. J. Cerf, “Unconditional optimality of Gaussian attacks against continuous-variable quantum key distribution,” Phys. Rev. Lett. 97, 190503 (2006).

[Crossref]
[PubMed]

S. Pirandola, S. L. Braunstein, and S. Lloyd, “Characterization of collective Gaussian attacks and security of coherent-state quantum cryptography,” Phys. Rev. Lett. 101, 200504 (2008).

[Crossref]

A. Leverrier, R. García-Patrón, R. Renner, and N. J. Cerf, “Security of continuous-variable quantum key distribution against general attacks,” Phys. Rev. Lett. 110, 030502 (2013).

[Crossref]
[PubMed]

F. Grosshans and P. Grangier, “Continuous variable quantum cryptography using coherent states,” Phys. Rev. Lett. 88, 057902 (2002).

[Crossref]
[PubMed]

J. Heersink, C. Marquardt, R. Dong, R. Filip, S. Lorenz, G. Leuchs, and U. L. Andersen, “Distillation of squeezing from non-gaussian quantum states,” Phys. Rev. Lett. 96, 253601 (2006).

[Crossref]
[PubMed]

D. Vasylyev, A. Semenov, and W. Vogel, “Atmospheric quantum channels with weak and strong turbulence,” Phys. Rev. Lett. 117, 090501 (2016).

[Crossref]
[PubMed]

D. Y. Vasylyev, A. Semenov, and W. Vogel, “Toward global quantum communication: beam wandering preserves nonclassicality,” Phys. Rev. Lett. 108, 220501 (2012).

[Crossref]
[PubMed]

I. Devetak and A. Winter, “Distillation of secret key and entanglement from quantum states,” Proc. Royal Soc. A: Math. Phys. Eng. Sci. 461, 207–235 (2005).

[Crossref]

F. Grosshans, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Virtual entanglement and reconciliation protocols for quantum cryptography with continuous variables,” Quantum Inf. Comput. 3, 535–552 (2003).

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145 (2002).

[Crossref]

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513 (2005).

[Crossref]

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

[Crossref]

D. Huang, P. Huang, D. Lin, and G. Zeng, “Long-distance continuous-variable quantum key distribution by controlling excess noise,” Sci. Rep. 6, 19201 (2016).

[Crossref]
[PubMed]

I. Derkach, V. C. Usenko, and R. Filip, “Squeezing-enhanced quantum key distribution over atmospheric channels,” arXiv:1809.10167 [quant-ph] (2018).

M. R. Suite, H. R. Burris, C. I. Moore, M. J. Vilcheck, R. Mahon, C. Jackson, M. F. Stell, M. A. Davis, W. S. Rabinovich, W. J. Scharpf, A. E. Reed, and G. C. Gilbreath, “Fast steering mirror implementation for reduction of focal-spot wander in a long-distance free-space optical communication link,” in Free-Space Laser Communication and Active Laser Illumination III, D. G. Voelz and J. C. Ricklin, eds. (SPIE, 2004).

[Crossref]

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser beam scintillation with applications, vol. 99 (SPIE press, 2001).

[Crossref]