Entanglement degradation of photon entangled states in non-Kolmogorov atmospheric turbulence

Qinwei ZHANG; Lianzhen CAO; Xia LIU; Yang YANG; Jiaqiang ZHAO; Yingde LI

doi:10.3969/j.issn.1007-5461. 2021.04.012

[1] Yin J, Li Y H, Liao S K, et al. Entanglement-based secure quantum cryptography over 1,120 kilometres[J]. Nature, 2020, 582(7813): 501-505.

[2] Zhong H S, Wang H, Deng Y H, et al. Quantum computational advantage using photons[J]. Science, 2020, 370(6523): 1460-1463.

[3] Liu L Z, Zhang Y Z, Li Z D, et al. Distributed quantum phase estimation with entangled photons[J]. Nature Photonics, 2021, 15: 137-142.

[4] Wang X L, Chen L K, Li W, et al. Experimental ten-photon entanglement[J]. Physical Review Letters, 2016, 117(21): 210502.

[5] Wang X L, Luo Y H, Huang H L, et al. 18-qubit entanglement with six photons’ three degrees of freedom[J]. Physical Review Letters, 2018, 120(26): 260502.

[6] Malouf W T B, Goold J, Adesso G, et al. Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states[J]. Journal of Physics A-Mathematical and Theoretical, 2020, 53(30): 305302.

[7] Li L, Liu Z X, Ren X F, et al. Metalens-array-based high-dimensional and multiphoton quantum source[J]. Science, 2020, 368(6498): 1487-1490.

[8] Andrews L C, Phillips R L. Laser Beam Propagation Through Random Media[M]. Bellingham, Washington: SPIE, 2005, 57-72.

[9] Rao R Z. Light Propagation in the Atmospheric Turbulence[M]. Hefei: Anhui Science and Technology Press, 2005: 58-92.

[10] Jha A K, Tyler G A, Boyd R W. Effects of atmospheric turbulence on the entanglement of spatial two-qubit states[J]. Physical Review A, 2010, 81(5): 053832.

[11] Qiu Y, She W. The influence of atmospheric turbulence on partially coherent two-photon entangled field[J]. Applied Physics B, 2012, 108(3): 683-687.

[12] Zhang L C, Zhu Y. The influence of non-Kolmogorov turbulence on the entanglement of spatial two-qubit states in a slant channel[J]. Optik, 2014, 125(3): 1259-1263.

[13] Hamadou I A, Roux F S, McLaren M, et al. Orbital-angular-momentum entanglement in turbulence[J]. Physical Review A, 2013, 88(1): 012312.

[14] Yu M Y, Yan X. Effect of atmospheric turbulence on the quantum state of the two-mode light field polarization properties[J]. Chinese Journal of Quantum Electronics, 2019, 36(1): 68-74.

[15] Goyal S K, Ibrahim A H, Roux F S, et al. The effect of turbulence on entanglement-based free-space quantum key distribution with photonic orbital angular momentum[J]. Journal of Optics, 2016, 18(6): 064002.

[16] Roux F S, Wellens T, Shatokhin V N. Entanglement evolution of twisted photons in strong atmospheric turbulence[J]. Physical Review A, 2015, 92(1): 012326.

[17] Zhang Y, Prabhakar S, Ibrahim A H, et al. Experimentally observed decay of high-dimensional entanglement through turbulence[J]. Physical Review A, 2016, 94(3): 032310.

[18] Nie M, Gao K, Yang G, et al. Effect of the atmospheric turbulence on the performance of free space quantum communication[J]. Acta Photonica Sinica, 2016, 45(7): 0701001.

[19] Yan X, Zhang P F, Zhang J H, et al. Decoherence of orbital angular momentum tangled photons in non-Kolmogorov turbulence[J]. Journal of the Optical Society of America A, 2016, 33(9): 1831-1835.

[20] Toselli I, Andrews L C, Phillips R L, et al. Free space optical system performance for laser beam propagation through non-Kolmogorov turbulence for uplink and downlink paths[J]. Optical Engineering, 2008, 47(2): 026003.

[21] Li N, Qiao C H, Zhang P F, et al. Research of laser propagation and its phase compensation in non-Kolmogorov turbulence atmosphere[J]. Chinese Journal of Quantum Electronics, 2019, 36(6): 745-751.

[22] Pors B J, Monken C H, Eliel E R, et al. Transport of orbital-angular-momentum entanglement through a turbulent atmosphere[J]. Optics Express, 2011, 19(7): 6671-6683.

[23] Wootters W K. Entanglement of formation of an arbitrary state of two qubits[J]. Physical Review Letters, 1998, 80(10): 2245-2248.

[24] Zilberman A, Golbraikh E, Kopeika N S. Propagation of electromagnetic waves in Kolmogorov and non-Kolmogorov atmospheric turbulence: Three-layer altitude model[J]. Applied Optics, 2008, 47(34): 6385-6391.

[25] Stribling B E, Welsh B M, Roggemann M C. Optical propagation in non-Kolmogorov atmospheric turbulence[C]. Proceedings of SPIE, 1998, 2471:181-196.