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SO(3) matrix transformation for rapid polarization search and coding in a three-plate polarizer

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Języki publikacji
EN
Abstrakty
EN
A SO(3) transformer of a three-plate polarizer is adopted to rapidly achieve the transformation of the polarized state. The polarization coding based on Stokes components S2 and S3 is analyzed and demonstrated. Tabu search algorithm is used to accelerate the transformation of the polarized state by utilizing Mueller matrix roots decomposition to decompose the SO(3) matrix, and substituting first order Taylor series approximations for the trigonometric functions in the SO(3) matrix. The results show that bias voltage is less than 120 V in the coding zone. The search speed of our algorithm is faster than the one without first order Taylor series approximations by 4 times.
Słowa kluczowe
Czasopismo
Rocznik
Strony
101--112
Opis fizyczny
Bibliogr. 28 poz., rys., tab.
Twórcy
autor
  • College of Physics and Information Engineering, Fuzhou University, Fuzhou 350108, China
autor
  • College of Physics and Information Engineering, Fuzhou University, Fuzhou 350108, China
Bibliografia
  • [1] SILBERHORN C., RALPH T.C., LÜTKENHAUS N., LEUCHS G., Continuous variable quantum cryptography: beating the 3 dB loss limit, Physical Review Letters 89(16), 2002, article 167901.
  • [2] GARCÍA-PATRÓN R., CERF N.J., Continuous-variable quantum key distribution protocols over noisy channels, Physical Review Letters 102(13) 2009, article 130501.
  • [3] XIAOLONG SU, AIHONG TAN, XIAOJUN JIA, JING ZHANG, CHANGDE XIE, KUNCHI PENG, Experimental preparation of quadripartite cluster and Greenberger–Horne–Zeilinger entangled states for continuous variables, Physical Review Letters 98(7), 2007, article 070502.
  • [4] JOUGUET P., KUNZ-JACQUES S., LEVERRIER A., Long-distance continuous-variable quantum key distribution with a Gaussian modulation, Physical Review A 84(6), 2011, article 062317.
  • [5] TAKESUE H., SAE WOO NAM, QIANG ZHANG, HADFIELD R.H., HONJO T., TAMAKI K., YAMAMOTO Y., Quantum key distribution over a 40-dB channel loss using superconducting single-photon detectors, Nature Photonics 1(6), 2007, pp. 343–348.
  • [6] ZHIXIN LU, LI YU, KANG LI, BINGCAN LIU, JIANGUI LIN, RONGZHEN JIAO, BOJUN YANG, Reverse reconciliation for continuous variable quantum key distribution, Science China – Physics, Mechanics and Astronomy 53(1), 2010, pp. 100–105.
  • [7] JOUGUET P., KUNZ-JACQUES S., DEBUISSCHERT T., FOSSIER S., DIAMANTI E., ALLÉAUME R., TUALLE-BROURI R., GRANGIER P., LEVERRIER A., PACHE P., PAINCHAULT P., Field test of classical symmetric encryption with continuous variables quantum key distribution, Optics Express 20(13), 2012, pp. 14030–14041.
  • [8] JOUGUET P., KUNZ-JACQUES S., LEVERRIER A., GRANGIER P., DIAMANTI E., Experimental demonstration of long-distance continuous-variable quantum key distribution, Nature Photonics 7(5), 2013, pp. 378–381.
  • [9] FURRER F., FRANZ T., BERTA M., LEVERRIER A., SCHOLZ V.B., TOMAMICHEL M., WERNER R.F., Continuous variable quantum key distribution: Finite-key analysis of composable security against coherent attacks, Physical Review Letters 109(10), 2012, article 100502.
  • [10] WEEDBROOK C., LANCE A.M., BOWEN W.P., SYMUL T., RALPH T.C., PING KOY LAM, Coherent- -state quantum key distribution without random basis switching, Physical Review A 73(2), 2006, article 022316.
  • [11] LEVERRIER A., GRANGIER P., Continuous-variable quantum-key-distribution protocols with a non-Gaussian modulation, Physical Review A 83(4), 2011, article 042312.
  • [12] ELSER D., BARTLEY T., HEIM B., WITTMANN C., SYCH D., LEUCHS G., Feasibility of free space quantum key distribution with coherent polarization states, New Journal of Physics 11(4), 2009, article 045014.
  • [13] HUANG C., RONG W., A control scheme of polarization generator based on three LiNbO3 wave plates, Laser & Optoelectronics Progress 50(5), 2013, pp. 190–196.
  • [14] LI SHEN, MA HAI-QIANG, WU LING-AN, ZHAI GUANG-JIE, High-speed polarization controller for all-fiber quantum communication systems, Acta Physica Sinica 62(8), 2013, article 084214.
  • [15] KOCH B., HIDAYAT A., HONGBIN ZHANG, MIRVODA V., LICHTINGER M., SANDEL D., NOÉ R., Optical endless polarization stabilization at 9 krad/s with FPGA-based controller, IEEE Photonics Technology Letters 20(12), 2008, pp. 961–963.
  • [16] GLOVER F., ZHIPENG LÜ, JIN-KAO HAO, Diversification-driven tabu search for unconstrained binary quadratic problems, 4OR – A Quarterly Journal of Operations Research 8(3), 2010, pp. 239–253.
  • [17] NOBLE H.D., CHIPMAN R.A., Mueller matrix roots algorithm and computational considerations, Optics Express 20(1), 2012, pp. 17–31.
  • [18] DEVLAMINCK V., Mueller matrix interpolation in polarization optics, Journal of the Optical Society of America A 27(7), 2010, pp. 1529–1534.
  • [19] FENG HUO, XUE-CHENG XI, AUN-NEOW POO, Generalized Taylor series expansion for free-form two-dimensional contour error compensation, International Journal of Machine Tools and Manufacture 53(1), 2012, pp. 91–99.
  • [20] YAN-QING LU, ZHI-LIANG WAN, QUAN WANG, YUAN-XIN XI, NAI-BEN MING, Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications, Applied Physics Letters 77(23), 2000, pp. 3719–3721.
  • [21] HE YUN-XIAN, LU YUAN, ZHU JUN, PENG JIN-YE, ZENG GUI-HUA, Gaussian-modulation in continuous-variable quantum communication, Acta Sinica Quantum Optica 15(4), 2009, pp. 329–335.
  • [22] GROSSHANS F., VAN ASSCHE G., WENGER J., BROURI R., CERF N.J., GRANGIER P., Quantum key distribution using gaussian-modulated coherent states, Nature 421(6920), 2003, pp. 238–241.
  • [23] ETENGU R., ABBOU F.M., WONG H.Y., ABID A., NORTIZA N., SETHARAMAN A., Performance comparison of BB84 and B92 satellite-based free space quantum optical communication systems in the presence of channel effects, Journal of Optical Communications 32(1), 2011, pp. 37–47.
  • [24] PAQUETTE J., CORDEAU J.-F., LAPORTE G., PASCOAL M.M.B., Combining multicriteria analysis and tabu search for dial-a-ride problems, Transportation Research Part B: Methodological 52, 2013, pp. 1–16.
  • [25] BENTLEY J.L., Multidimensional binary search trees used for associative searching, Communications of the ACM 18(9), 1975, pp. 509–517.
  • [26] CRAIN T., GRAMOLI V., RAYNAL M., A speculation-friendly binary search tree, ACM SIGPLAN Notices 47(8), 2012, pp. 161–170.
  • [27] HAO JIAN, Polarization generator research based on PZT squeezed fiber polarization controller, Master’s Thesis, Beijing Jiaotong University, 2011.
  • [28] LEE D.U., VILLASENOR J.D., LUK W., LEONG P.H.W., A hardware Gaussian noise generator using the Box-Muller method and its error analysis, IEEE Transactions on Computers 55(6), 2006, pp. 659–671.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9d50adf8-5951-4e03-998e-ec04becd069d
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