Abstract
Transmission of entangled state through turbulent atmosphere is studied. The qubits are encoded by modes of the Gaussian beam. The quality of the entanglement transmission is estimated using the distance between the density matrix and the subspace of non-entangled states. It is shown that the values of the distances depend on chosen modes numbers.
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Mitschke, F.: Fiber Optics: Physics and Technology. Springer, Berlin (2009)
Hübel, H., Vanner, M.R., Lederer, T., Blauensteiner, B., Lorunser, T., Poppe, A., Zeilinger, A.: High-fidelity transmission of polarization encoded qubits from an entangled source over 100 km of fiber. Opt. Express 15, 7853–7862 (2007)
Takesue, H., Nam, S.W., Zhang, Q., Hadfield, R.H., Honjo, T., Tamaki, K., Yamamoto, Y.: Quantum key distribution over a 40-dB channel loss using superconducting single-photon detectors. Nat. Photon. 1, 343–348 (2007)
Briegel, H.-J., Dür, W., Cirac, J.I., Zoller, P.: Quantum repeaters: the role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932–5935 (1998)
Erhard, M., Fickler, R., Krenn, M., Zeilinger, A.: Twisted photons: new quantum perspectives in high dimensions. Light Sci. Appl. 7, 17146 (2018). https://doi.org/10.1038/lsa.2017.146
Hughes, R.J., Nordholt, J.E., Derkacs, D., Peterson, C.G.: Practical free-space quantum key distribution over 10 km in daylight and at night. N. J. Phys. 4, 43 (2002)
Yin, Juan, Ren, Ji-Gang, He, Lu, Cao, Yuan, Yong, Hai-Lin, Yu-Ping, Wu, Liu, Chang, Liao, Sheng-Kai, Zhou, Fei, Jiang, Yan, Cai, Xin-Dong, Ping, Xu, Pan, Ge-Sheng, Jia, Jian-Jun, Huang, Yong-Mei, Yin, Hao, Wang, Jian-Yu., Chen, Yu-Ao, Peng, Cheng-Zhi, Pan, Jian-Wei: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185–188 (2012)
Berman, G.P., Chumak, A.A., Gorshkov, V.N.: Beam wandering in the atmosphere: The effect of partial coherence. Phys. Rev. E 76, 056606 (2007)
Banakh, V.A., Falits, A.V.: Turbulent broadening of Laguerre–Gaussian beam in the atmosphere. Opt. Spectrosc. 2014(117), 942–948 (2014)
Wang, Fei, Liu, Xianlong, Cai, Yangjian: Propagation of partially coherent beam in turbulent atmosphere: a review. Progress Electromag. Res. 150, 123–143 (2015)
Bohmann, M., Semenov, A.A., Sperling, J., Vogel, W.: Gaussian entanglement in the turbulent atmosphere. Phys. Rev. A 94, 010302 (2016)
Faleeva, M.P., Popov, I.Y., Zezula, I.: On quantitative determination of the degree of independence of qubit transformation by a quantum gate or channel. Opt. Spectrosc. 124(5), 720–725 (2018)
Andrews, L.C., Phillips, R.L.: Laser beam propagation through random media. SPIE Press, Bellingham (2005)
Vasylyev, DYu., Semenov, A.A., Vogel, W.: Toward global quantum communication: beam wandering preserves nonclassicality. Phys. Rev. Lett. 108, 220501 (2012)
Vasylyev, DYu., Semenov, A.A., Vogel, W.: Atmospheric quantum channels with weak and strong turbulence. Phys. Rev. Lett. 117, 090501 (2016)
Herbst, T., Scheidl, T., Fink, M., Handsteiner, J., Wittmann, B., Ursin, R., Zeilinger, A.: Teleportation of entanglement over 143 km. PNAS 112, 14202–14205 (2015)
Miroshnichenko, G.P.: Linear optical quantum computing. Nanosyst. Phys. Chem. Math. 3(4), 36–53 (2012)
Gavrilov, M.I., Gortinskaya, L.V., Pestov, A.A., Popov, IYu., Tesovskaya, E.S.: Quantum computer elements based on coupled quantum waveguides. Phys. Part. Nucl. Lett. 4(2), 237–243 (2007)
Sheremetev, V.O., Rudenko, A.S., Trifanov, A.I.: Testing Bell inequalities for multi-partite systems with frequency-encoded photonic qubits. Nanosyst. Phys. Chem. Math. 9(4), 484–490 (2018)
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This work was partially financially supported by Grant 08-08 from the Government of the Russian Federation, by Grant 16-11-10330 from Russian Science Foundation, and by Grant 19-31-27001 of Russian Foundation for Basic Researches.
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Faleeva, M., Popov, I. Entanglement transmission through turbulent atmosphere for modes of Gaussian beam. Quantum Inf Process 19, 72 (2020). https://doi.org/10.1007/s11128-019-2569-y
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DOI: https://doi.org/10.1007/s11128-019-2569-y