{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T20:39:56Z","timestamp":1778099996891,"version":"3.51.4"},"reference-count":69,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2025,1,30]],"date-time":"2025-01-30T00:00:00Z","timestamp":1738195200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,30]],"date-time":"2025-01-30T00:00:00Z","timestamp":1738195200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-025-04664-2","type":"journal-article","created":{"date-parts":[[2025,1,30]],"date-time":"2025-01-30T11:41:24Z","timestamp":1738237284000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Continuous variable-based quantum communication in the ocean"],"prefix":"10.1007","volume":"24","author":[{"given":"Ramniwas","family":"Meena","sequence":"first","affiliation":[]},{"given":"Subhashish","family":"Banerjee","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,1,30]]},"reference":[{"issue":"1","key":"4664_CR1","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1109\/COMST.2016.2618841","volume":"19","author":"Z Zeng","year":"2016","unstructured":"Zeng, Z., Fu, S., Zhang, H., Dong, Y., Cheng, J.: A survey of underwater optical wireless communications. IEEE Commun. Surv. Tutor. 19(1), 204\u2013238 (2016)","journal-title":"IEEE Commun. Surv. Tutor."},{"issue":"4","key":"4664_CR2","doi-asserted-by":"crossref","first-page":"2630","DOI":"10.1109\/COMST.2021.3111984","volume":"23","author":"PA Hoeher","year":"2021","unstructured":"Hoeher, P.A., Sticklus, J., Harlakin, A.: Underwater optical wireless communications in swarm robotics: a tutorial. IEEE Commun. Surv. Tutor. 23(4), 2630\u20132659 (2021)","journal-title":"IEEE Commun. Surv. Tutor."},{"issue":"1","key":"4664_CR3","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1109\/JSAC.2017.2774702","volume":"36","author":"G Cossu","year":"2017","unstructured":"Cossu, G., Sturniolo, A., Messa, A., Scaradozzi, D., Ciaramella, E.: Full-fledged 10base-t ethernet underwater optical wireless communication system. IEEE J. Sel. Areas Commun. 36(1), 194\u2013202 (2017)","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"4664_CR4","unstructured":"Bennett, C., Brassard, G.\u00a0i.: \u201cProc. ieee int. conf. on computers, systems and signal processing, bangalore, india,\u201d in Proc. of the IEEE Int. Conf. on Computers Systems and Signal Processing Bangalore India, 175, (1984)"},{"issue":"2","key":"4664_CR5","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1103\/PhysRevLett.85.441","volume":"85","author":"PW Shor","year":"2000","unstructured":"Shor, P.W., Preskill, J.: Simple proof of security of the bb84 quantum key distribution protocol. Phys. Rev. Lett. 85(2), 441 (2000)","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"4664_CR6","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1145\/382780.382781","volume":"48","author":"D Mayers","year":"2001","unstructured":"Mayers, D.: Unconditional security in quantum cryptography. J. ACM (JACM) 48(3), 351\u2013406 (2001)","journal-title":"J. ACM (JACM)"},{"key":"4664_CR7","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511813719","volume-title":"Protecting information: from classical error correction to quantum cryptography","author":"S Loepp","year":"2006","unstructured":"Loepp, S., Wootters, W.K.: Protecting information: from classical error correction to quantum cryptography. Cambridge University Press, Cambridge (2006)"},{"issue":"5","key":"4664_CR8","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.88.057902","volume":"88","author":"F Grosshans","year":"2002","unstructured":"Grosshans, F., Grangier, P.: Continuous variable quantum cryptography using coherent states. Phys. Rev. Lett. 88(5), 057902 (2002)","journal-title":"Phys. Rev. Lett."},{"key":"4664_CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11128-019-2494-0","volume":"19","author":"S Srikara","year":"2020","unstructured":"Srikara, S., Thapliyal, K., Pathak, A.: Continuous variable b92 quantum key distribution protocol using single photon added and subtracted coherent states. Quantum Inf. Process. 19, 1\u201316 (2020)","journal-title":"Quantum Inf. Process."},{"issue":"4","key":"4664_CR10","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1364\/AOP.361502","volume":"12","author":"S Pirandola","year":"2020","unstructured":"Pirandola, S., Andersen, U.L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al.: Advances in quantum cryptography. Adv. Opt. Photonics 12(4), 1012\u20131236 (2020)","journal-title":"Adv. Opt. Photonics"},{"issue":"1","key":"4664_CR11","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.61.010303","volume":"61","author":"TC Ralph","year":"1999","unstructured":"Ralph, T.C.: Continuous variable quantum cryptography. Phys. Rev. A 61(1), 010303 (1999)","journal-title":"Phys. Rev. A"},{"issue":"9","key":"4664_CR12","doi-asserted-by":"crossref","first-page":"6072","DOI":"10.3390\/e17096072","volume":"17","author":"E Diamanti","year":"2015","unstructured":"Diamanti, E., Leverrier, A.: Distributing secret keys with quantum continuous variables: principle, security and implementations. Entropy 17(9), 6072\u20136092 (2015)","journal-title":"Entropy"},{"issue":"1","key":"4664_CR13","doi-asserted-by":"crossref","first-page":"1800011","DOI":"10.1002\/qute.201800011","volume":"1","author":"F Laudenbach","year":"2018","unstructured":"Laudenbach, F., Pacher, C., Fung, C.-H.F., Poppe, A., Peev, M., Schrenk, B., Hentschel, M., Walther, P., H\u00fcbel, H.: Continuous-variable quantum key distribution with gaussian modulation-the theory of practical implementations. Adv. Quantum Technol. 1(1), 1800011 (2018)","journal-title":"Adv. Quantum Technol."},{"issue":"1","key":"4664_CR14","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1038\/s42005-022-00814-5","volume":"5","author":"M Ghalaii","year":"2022","unstructured":"Ghalaii, M., Pirandola, S.: Quantum communications in a moderate-to-strong turbulent space. Commun. Phys. 5(1), 38 (2022)","journal-title":"Commun. Phys."},{"issue":"11","key":"4664_CR15","doi-asserted-by":"crossref","DOI":"10.1088\/1367-2630\/16\/11\/113018","volume":"16","author":"B Heim","year":"2014","unstructured":"Heim, B., Peuntinger, C., Killoran, N., Khan, I., Wittmann, C., Marquardt, C., Leuchs, G.: Atmospheric continuous-variable quantum communication. New J. Phys. 16(11), 113018 (2014)","journal-title":"New J. Phys."},{"key":"4664_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11128-019-2182-0","volume":"18","author":"V Sharma","year":"2019","unstructured":"Sharma, V., Banerjee, S.: Analysis of atmospheric effects on satellite-based quantum communication: a comparative study. Quantum Inf. Process. 18, 1\u201324 (2019)","journal-title":"Quantum Inf. Process."},{"key":"4664_CR17","doi-asserted-by":"crossref","unstructured":"Sharma, V., Banerjee, S.: \u201cAnalysis of quantum key distribution based satellite communication,\u201d in 2018 9th International Conference on Computing, Communication and Networking Technologies (ICCCNT), 1\u20135, IEEE, (2018)","DOI":"10.1109\/ICCCNT.2018.8494189"},{"key":"4664_CR18","unstructured":"Meena, Muskan, R., Banerjee, S.: \u201cAnalysing qber and secure key rate under various losses for satellite based free space qkd,\u201d (2023)"},{"issue":"1","key":"4664_CR19","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.87.012317","volume":"87","author":"P Huang","year":"2013","unstructured":"Huang, P., He, G., Fang, J., Zeng, G.: Performance improvement of continuous-variable quantum key distribution via photon subtraction. Phys. Rev. A 87(1), 012317 (2013)","journal-title":"Phys. Rev. A"},{"key":"4664_CR20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11128-019-2494-0","volume":"19","author":"W Ye","year":"2020","unstructured":"Ye, W., Zhong, H., Wu, X., Hu, L., Guo, Y.: Continuous-variable measurement-device-independent quantum key distribution via quantum catalysis. Quantum Inf. Process. 19, 1\u201322 (2020)","journal-title":"Quantum Inf. Process."},{"issue":"1","key":"4664_CR21","volume":"93","author":"Z Li","year":"2016","unstructured":"Li, Z., Zhang, Y., Wang, X., Xu, B., Peng, X., Guo, H.: Non-gaussian postselection and virtual photon subtraction in continuous-variable quantum key distribution. Phys. Rev. A 93(1), 012310 (2016)","journal-title":"Phys. Rev. A"},{"key":"4664_CR22","unstructured":"Giuliano, G.: Underwater optical communication systems. PhD thesis, University of Glasgow, (2019)"},{"issue":"1","key":"4664_CR23","first-page":"242","volume":"31","author":"CM Gussen","year":"2016","unstructured":"Gussen, C.M., Diniz, P.S., Campos, M.L., Martins, W.A., Costa, F.M., Gois, J.N.: A survey of underwater wireless communication technologies. J. Commun. Inf. Syst. 31(1), 242\u2013255 (2016)","journal-title":"J. Commun. Inf. Syst."},{"issue":"2","key":"4664_CR24","doi-asserted-by":"crossref","first-page":"1193","DOI":"10.1364\/OE.25.001193","volume":"25","author":"P Tian","year":"2017","unstructured":"Tian, P., Liu, X., Yi, S., Huang, Y., Zhang, S., Zhou, X., Hu, L., Zheng, L., Liu, R.: High-speed underwater optical wireless communication using a blue gan-based micro-led. Opt. Express 25(2), 1193\u20131201 (2017)","journal-title":"Opt. Express"},{"issue":"9","key":"4664_CR25","doi-asserted-by":"crossref","first-page":"12171","DOI":"10.1364\/OE.27.012171","volume":"27","author":"J Wang","year":"2019","unstructured":"Wang, J., Lu, C., Li, S., Xu, Z.: 100 m\/500 mbps underwater optical wireless communication using an nrz-ook modulated 520 nm laser diode. Opt. Express 27(9), 12171\u201312181 (2019)","journal-title":"Opt. Express"},{"issue":"21","key":"4664_CR26","doi-asserted-by":"crossref","first-page":"31796","DOI":"10.1364\/OE.405417","volume":"28","author":"L Zhang","year":"2020","unstructured":"Zhang, L., Wang, Z., Wei, Z., Chen, C., Wei, G., Fu, H., Dong, Y.: Towards a 20 gbps multi-user bubble turbulent noma uowc system with green and blue polarization multiplexing. Opt. Express 28(21), 31796\u201331807 (2020)","journal-title":"Opt. Express"},{"issue":"20","key":"4664_CR27","doi-asserted-by":"crossref","first-page":"32228","DOI":"10.1364\/OE.440220","volume":"29","author":"Y Dai","year":"2021","unstructured":"Dai, Y., Chen, X., Yang, X., Tong, Z., Du, Z., Lyu, W., Zhang, C., Zhang, H., Zou, H., Cheng, Y., et al.: 200-m\/500-mbps underwater wireless optical communication system utilizing a sparse nonlinear equalizer with a variable step size generalized orthogonal matching pursuit. Opt. Express 29(20), 32228\u201332243 (2021)","journal-title":"Opt. Express"},{"issue":"2","key":"4664_CR28","doi-asserted-by":"crossref","first-page":"2326","DOI":"10.1364\/OE.448448","volume":"30","author":"C Fei","year":"2022","unstructured":"Fei, C., Wang, Y., Du, J., Chen, R., Lv, N., Zhang, G., Tian, J., Hong, X., He, S.: 100-m\/3-gbps underwater wireless optical transmission using a wideband photomultiplier tube (pmt). Opt. Express 30(2), 2326\u20132337 (2022)","journal-title":"Opt. Express"},{"issue":"2","key":"4664_CR29","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1364\/JOSA.53.000214","volume":"53","author":"SQ Duntley","year":"1963","unstructured":"Duntley, S.Q.: Light in the sea. JOSA 53(2), 214\u2013233 (1963)","journal-title":"JOSA"},{"key":"4664_CR30","doi-asserted-by":"crossref","unstructured":"Gilbert, G., Stoner, T., Jernigan, J.: \u201cUnderwater experiments on the polarization, coherence, and scattering properties of a pulsed blue-green laser,\u201d in Underwater Photo Optics I, 7, 8\u201314, SPIE, (1966)","DOI":"10.1117\/12.971001"},{"issue":"23","key":"4664_CR31","doi-asserted-by":"crossref","first-page":"6010","DOI":"10.1364\/AO.46.006010","volume":"46","author":"DK Borah","year":"2007","unstructured":"Borah, D.K., Voelz, D.G.: Estimation of laser beam pointing parameters in the presence of atmospheric turbulence. Appl. Opt. 46(23), 6010\u20136018 (2007)","journal-title":"Appl. Opt."},{"key":"4664_CR32","doi-asserted-by":"crossref","unstructured":"Muskan, A.\u00a0Dutta., Banerjee, S., Pathak, A.: \u201cAnalysis for satellite-based high-dimensional extended B92 and high-dimensional BB84 quantum key distribution,\u201d arXiv preprint[SPACE]arXiv:2311.00309, (2023)","DOI":"10.1002\/qute.202400149"},{"key":"4664_CR33","doi-asserted-by":"crossref","unstructured":"Coronel, J., Elayoubi, K., Al\u00a0Ahmadi, A., Al\u00a0Hosani, S., Al\u00a0Blooshi, A., Al\u00a0Ameri, R., Cordette, S., Bouchalkha, A., Alameri, J., Matras, G. et\u00a0al., \u201cCharacterization of infrared laser beam through atmospheric optical turbulence in laboratory environment,\u201d in Free-Space Laser Communications XXXV, 12413, pp.\u00a0455\u2013467, SPIE, (2023)","DOI":"10.1117\/12.2648944"},{"key":"4664_CR34","doi-asserted-by":"crossref","unstructured":"Wu, H., van Iersel, M.: \u201cExperimental study on the effects of oam beams propagating through atmospheric turbulence,\u201d in Laser Communication and Propagation through the Atmosphere and Oceans XII, 12691, pp.\u00a0132\u2013142, SPIE, (2023)","DOI":"10.1117\/12.2675565"},{"key":"4664_CR35","doi-asserted-by":"crossref","unstructured":"Tang, S., Zhang, X., Dong, Y.: \u201cTemporal statistics of irradiance in moving turbulent ocean,\u201d in 2013 MTS\/IEEE OCEANS-Bergen, 1\u20134, IEEE, (2013)","DOI":"10.1109\/OCEANS-Bergen.2013.6607967"},{"key":"4664_CR36","doi-asserted-by":"crossref","unstructured":"Andrews, L.C., Phillips, R.L.: Laser beam Propag. Rand. Med. Second Edition, Laser Beam Propagation Through Random Media (2005)","DOI":"10.1117\/3.626196"},{"key":"4664_CR37","volume":"475","author":"J Zhang","year":"2020","unstructured":"Zhang, J., Kou, L., Yang, Y., He, F., Duan, Z.: Monte-carlo-based optical wireless underwater channel modeling with oceanic turbulence. Opt. Commun. 475, 126214 (2020)","journal-title":"Opt. Commun."},{"issue":"1","key":"4664_CR38","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1364\/JOSAA.435288","volume":"39","author":"N Enghiyad","year":"2022","unstructured":"Enghiyad, N., Sabbagh, A.G.: Impulse response of underwater optical wireless channel in the presence of turbulence, absorption, and scattering employing monte carlo simulation. JOSA A 39(1), 115\u2013126 (2022)","journal-title":"JOSA A"},{"key":"4664_CR39","unstructured":"Geldard, C.\u00a0T., Thompson, J., Popoola, W.\u00a0O.: \u201cEffects of turbulence induced scattering on underwater optical wireless communications,\u201d arXiv preprint[SPACE]arXiv:2008.01152, (2020)"},{"issue":"8","key":"4664_CR40","doi-asserted-by":"crossref","first-page":"1330","DOI":"10.1364\/JOSAA.459753","volume":"39","author":"D Xu","year":"2022","unstructured":"Xu, D., Yue, P., Yi, X., Liu, J.: Improvement of a monte-carlo-simulation-based turbulence-induced attenuation model for an underwater wireless optical communications channel. JOSA A 39(8), 1330\u20131342 (2022)","journal-title":"JOSA A"},{"key":"4664_CR41","volume":"528","author":"X Ji","year":"2023","unstructured":"Ji, X., Yin, H., Liang, Y., Wang, J., et al.: Analysis of aperture averaging effect and communication system performance of wireless optical channels with from weak to strong turbulence in natural turbid water. Opt. Commun. 528, 129018 (2023)","journal-title":"Opt. Commun."},{"key":"4664_CR42","doi-asserted-by":"crossref","first-page":"2678","DOI":"10.1364\/AO.51.002678","volume":"51","author":"W Hou","year":"2012","unstructured":"Hou, W., Woods, S., Jarosz, E., Goode, W., Weidemann, A.: Optical turbulence on underwater image degradation in natural environments. Appl. Opt. 51, 2678\u20132686 (2012)","journal-title":"Appl. Opt."},{"key":"4664_CR43","doi-asserted-by":"crossref","first-page":"8813","DOI":"10.1364\/AO.55.008813","volume":"55","author":"G Nootz","year":"2016","unstructured":"Nootz, G., Jarosz, E., Dalgleish, F.R., Hou, W.: Quantification of optical turbulence in the ocean and its effects on beam propagation. Appl. Opt. 55, 8813\u20138820 (2016)","journal-title":"Appl. Opt."},{"issue":"18","key":"4664_CR44","doi-asserted-by":"crossref","first-page":"3477","DOI":"10.1364\/AO.34.003477","volume":"34","author":"X Quan","year":"1995","unstructured":"Quan, X., Fry, E.S.: Empirical equation for the index of refraction of seawater. Appl. Opt. 34(18), 3477\u20133480 (1995)","journal-title":"Appl. Opt."},{"issue":"3","key":"4664_CR45","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1002\/j.1538-7305.1965.tb01672.x","volume":"44","author":"H Kogelnik","year":"1965","unstructured":"Kogelnik, H.: Imaging of optical modes-resonators with internal lenses. Bell Syst. Tech. J. 44(3), 455\u2013494 (1965)","journal-title":"Bell Syst. Tech. J."},{"key":"4664_CR46","doi-asserted-by":"crossref","first-page":"1562","DOI":"10.1364\/AO.4.001562","volume":"4","author":"H Kogelnik","year":"1965","unstructured":"Kogelnik, H.: On the propagation of gaussian beams of light through lenslike media including those with a loss or gain variation. Appl. Opt. 4, 1562\u20131569 (1965)","journal-title":"Appl. Opt."},{"key":"4664_CR47","unstructured":"Tu, J., Yeoh, G.\u00a0H., Liu, C., Tao, Y.: Computational fluid dynamics: a practical approach. Elsevier, (2023)"},{"issue":"9","key":"4664_CR48","doi-asserted-by":"crossref","first-page":"1620","DOI":"10.1109\/JSAC.2008.081202","volume":"26","author":"S Jaruwatanadilok","year":"2008","unstructured":"Jaruwatanadilok, S.: Underwater wireless optical communication channel modeling and performance evaluation using vector radiative transfer theory. IEEE J. Sel. Areas Commun. 26(9), 1620\u20131627 (2008)","journal-title":"IEEE J. Sel. Areas Commun."},{"issue":"2","key":"4664_CR49","doi-asserted-by":"crossref","first-page":"1800318","DOI":"10.1002\/andp.201800318","volume":"531","author":"P Malpani","year":"2019","unstructured":"Malpani, P., Alam, N., Thapliyal, K., Pathak, A., Narayanan, V., Banerjee, S.: Lower-and higher-order nonclassical properties of photon added and subtracted displaced fock states. Ann. Phys. 531(2), 1800318 (2019)","journal-title":"Ann. Phys."},{"issue":"8","key":"4664_CR50","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1007\/s11128-023-04037-7","volume":"22","author":"R Meena","year":"2023","unstructured":"Meena, R., Banerjee, S.: Characterization of quantumness of non-gaussian states under the influence of gaussian channel. Quantum Inf. Process. 22(8), 298 (2023)","journal-title":"Quantum Inf. Process."},{"key":"4664_CR51","doi-asserted-by":"crossref","DOI":"10.1016\/j.optcom.2019.124964","volume":"459","author":"P Malpani","year":"2020","unstructured":"Malpani, P., Thapliyal, K., Alam, N., Pathak, A., Narayanan, V., Banerjee, S.: Impact of photon addition and subtraction on nonclassical and phase properties of a displaced fock state. Opt. Commun. 459, 124964 (2020)","journal-title":"Opt. Commun."},{"issue":"1","key":"4664_CR52","doi-asserted-by":"crossref","first-page":"17526","DOI":"10.1038\/s41598-020-73379-4","volume":"10","author":"H Zhong","year":"2020","unstructured":"Zhong, H., Guo, Y., Mao, Y., Ye, W., Huang, D.: Virtual zero-photon catalysis for improving continuous-variable quantum key distribution via gaussian post-selection. Sci. Rep. 10(1), 17526 (2020)","journal-title":"Sci. Rep."},{"issue":"6","key":"4664_CR53","doi-asserted-by":"crossref","DOI":"10.1088\/1402-4896\/abf3f9","volume":"96","author":"Y Xiang","year":"2021","unstructured":"Xiang, Y., Wang, Y., Ruan, X., Zuo, Z., Guo, Y.: Improving the discretely modulated underwater continuous-variable quantum key distribution with heralded hybrid linear amplifier. Phys. Scr. 96(6), 065103 (2021)","journal-title":"Phys. Scr."},{"issue":"2","key":"4664_CR54","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1117\/12.7972089","volume":"16","author":"GT McNeil","year":"1977","unstructured":"McNeil, G.T.: Metrical fundamentals of underwater lens system. Opt. Eng. 16(2), 128\u2013139 (1977)","journal-title":"Opt. Eng."},{"key":"4664_CR55","doi-asserted-by":"crossref","unstructured":"Griffiths, D.\u00a0J.: \u201cIntroduction to electrodynamics,\u201d (2005)","DOI":"10.1016\/B978-1-85573-953-6.50026-X"},{"issue":"4","key":"4664_CR56","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.83.042312","volume":"83","author":"A Leverrier","year":"2011","unstructured":"Leverrier, A., Grangier, P.: Continuous-variable quantum-key-distribution protocols with a non-gaussian modulation. Phys. Rev. A 83(4), 042312 (2011)","journal-title":"Phys. Rev. A"},{"issue":"10","key":"4664_CR57","doi-asserted-by":"crossref","first-page":"1011","DOI":"10.3390\/e21101011","volume":"21","author":"Q Peng","year":"2019","unstructured":"Peng, Q., Chen, G., Li, X., Liao, Q., Guo, Y.: Performance improvement of underwater continuous-variable quantum key distribution via photon subtraction. Entropy 21(10), 1011 (2019)","journal-title":"Entropy"},{"issue":"4","key":"4664_CR58","volume":"97","author":"Y Zhao","year":"2018","unstructured":"Zhao, Y., Zhang, Y., Xu, B., Yu, S., Guo, H.: Continuous-variable measurement-device-independent quantum key distribution with virtual photon subtraction. Phys. Rev. A 97(4), 042328 (2018)","journal-title":"Phys. Rev. A"},{"issue":"19","key":"4664_CR59","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.97.190502","volume":"97","author":"M Navascu\u00e9s","year":"2006","unstructured":"Navascu\u00e9s, M., Grosshans, F., Acin, A.: Optimality of gaussian attacks in continuous-variable quantum cryptography. Phys. Rev. Lett. 97(19), 190502 (2006)","journal-title":"Phys. Rev. Lett."},{"issue":"19","key":"4664_CR60","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.97.190503","volume":"97","author":"R Garc\u00eda-Patr\u00f3n","year":"2006","unstructured":"Garc\u00eda-Patr\u00f3n, R., Cerf, N.J.: Unconditional optimality of gaussian attacks against continuous-variable quantum key distribution. Phys. Rev. Lett. 97(19), 190503 (2006)","journal-title":"Phys. Rev. Lett."},{"issue":"8","key":"4664_CR61","volume":"96","author":"MM Wolf","year":"2006","unstructured":"Wolf, M.M., Giedke, G., Cirac, J.I.: Extremality of gaussian quantum states. Phys. Rev. Lett. 96(8), 080502 (2006)","journal-title":"Phys. Rev. Lett."},{"key":"4664_CR62","doi-asserted-by":"crossref","unstructured":"Farwell, N.\u00a0H., Korotkova, O.: \u201cMultiple phase-screen simulation of oceanic beam propagation,\u201d in Laser communication and propagation through the atmosphere and oceans III, 9224, pp.\u00a0374\u2013380, SPIE, (2014)","DOI":"10.1117\/12.2062683"},{"key":"4664_CR63","doi-asserted-by":"crossref","first-page":"7867","DOI":"10.1364\/AO.52.007867","volume":"52","author":"LJ Johnson","year":"2013","unstructured":"Johnson, L.J., Green, R.J., Leeson, M.S.: Underwater optical wireless communications: depth dependent variations in attenuation. Appl. Opt. 52, 7867\u20137873 (2013)","journal-title":"Appl. Opt."},{"key":"4664_CR64","unstructured":"Raymont, J.\u00a0E.: Plankton & productivity in the oceans: Volume 1: Phytoplankton. Elsevier, (2014)"},{"key":"4664_CR65","doi-asserted-by":"crossref","unstructured":"Uitz, J., Claustre, H., Morel, A., Hooker, S.\u00a0B.: \u201cVertical distribution of phytoplankton communities in open ocean: An assessment based on surface chlorophyll,\u201d Journal of Geophysical Research: Oceans, 111(C8), (2006)","DOI":"10.1029\/2005JC003207"},{"key":"4664_CR66","unstructured":"Hooker, Stanford, B.: \u201cSeawifs technical report series: an overview of seawifs and ocean color,\u201d NASA Technical Memorandum, I, (1992)"},{"key":"4664_CR67","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1007\/BF02742452","volume":"54","author":"T Kameda","year":"1998","unstructured":"Kameda, T., Matsumura, S.: Chlorophyll biomass off sanriku, northwestern pacific, estimated by ocean color and temperature scanner (octs) and a vertical distribution model. J. Oceanogr. 54, 509\u2013516 (1998)","journal-title":"J. Oceanogr."},{"key":"4664_CR68","doi-asserted-by":"crossref","unstructured":"Pontbriand, C., Farr, N., Ware, J., Preisig, J., Popenoe, H.: \u201cDiffuse high-bandwidth optical communications,\u201d in OCEANS 2008, 1\u20134, IEEE, (2008)","DOI":"10.1109\/OCEANS.2008.5151977"},{"issue":"C7","key":"4664_CR69","doi-asserted-by":"crossref","first-page":"13321","DOI":"10.1029\/95JC00463","volume":"100","author":"A Bricaud","year":"1995","unstructured":"Bricaud, A., Babin, M., Morel, A., Claustre, H.: Variability in the chlorophyll-specific absorption coefficients of natural phytoplankton: analysis and parameterization. J. Geophys. Res. Oceans 100(C7), 13321\u201313332 (1995)","journal-title":"J. Geophys. Res. Oceans"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04664-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-025-04664-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04664-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T00:01:29Z","timestamp":1742169689000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-025-04664-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1,30]]},"references-count":69,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2025,2]]}},"alternative-id":["4664"],"URL":"https:\/\/doi.org\/10.1007\/s11128-025-04664-2","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-3928944\/v1","asserted-by":"object"}]},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1,30]]},"assertion":[{"value":"4 February 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 January 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 January 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflict of interest related to this research.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"46"}}