用户名: 密码: 验证码:
量子关联定位关键技术的研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
定位技术广泛应用于国民经济和军事安全的各个方面,为科技的进步、社会的发展做出了巨大的贡献。传统定位技术基于经典理论,其定位精度受到了经典噪声极限的限制,无法进一步提高。量子关联定位技术是导航与定位领域的一项崭新技术,具有非常大的研究价值和应用潜力。由于其具有极高的定位精度和很好的安全性,一经提出就引起了世界各国研究学者的普遍关注
     现阶段,纠缠光子对的关联特性已经被用于量子定位系统以及其他精密测量方面的研究。这些基于纠缠光子对关联特性的方案已经被证实可以提供更高的测量精度,有些方案甚至能逼近海森堡极限。然而在上述方案中,由于多方纠缠态的制备尚有较大难度,在一定程度上限制了方案的实用性。
     本论文针对量子关联定位中的若干关键技术进行了理论和实验研究,内容涉及时钟同步技术,测距技术,和星间链路技术。具体内容包括:
     1.提出了基于热光二阶关联特性的时钟同步实验模型。近年来,大量基于关联光学的理论和实验研究表明,热态具有和双光子纠缠态相仿的二阶关联特性,利用热光可以模仿纠缠光实现类似的鬼成像,鬼干涉,亚波长干涉等关联实验。因此,本文利用热光的关联特性结合传送带同步原理设计了一种新的高精度时钟同步实验模型,分析比较了模型的四种不同实现方法,并讨论了其运行的精度及速率两大关键参数。
     2.提出了基于热光二阶关联特性的测距实验模型。由于热光二阶关联函数的良好特性,本文利用热光的二阶关联特性设计了一种高精度,无测量盲区,抗干扰性好的测距模型。在此基础上,搭建了热光关联测距的实验平台,完成了基于热光二阶关联测距的原理验证实验,为进一步实现室外远距离热光关联测距打下了良好的基础。
     3.探讨了基于量子关联的星间链路技术。本文提出了基于量子关联的星间链路技术的概念,讨论了量子星间链路的工作频段及体制优势,描述了最基本的量子星间链路的建立,分析了信道损耗与链路关联度之间的关系,并类比开放系统互联结构定义了量子星间链路的网络架构。
Positioning technology is widely used in all aspects of national economy andmilitary security, making great contribution to scientifc progress and social de-velopment. Traditional positioning technology is based on classical theories, theaccuracy is limited by shot noise limit and cannot be further improved. Quantumcorrelation positioning technology is a novel technology in the feld of navigationand positioning and has great research values and potential applications. Be-cause of very high positioning accuracy and good security, it has attracted greatconcerns of research scholars all around the world since it was proposed.
     At the present stage, correlation features of entangled photon pairs have beenused in quantum positioning systems and other precise measurement researches.The schemes based on correlation features of entangled photon pairs have beenproved to have higher measurement accuracy, some can even approach Heisenberglimitation. But because of the difculties in the preparation of entangled photons,the practicality of these schemes above are limited to a certain extent.This dissertation focuses on the theoretical and experimental study of sev-eral key technologies in quantum correlation positioning, covering clock synchro-nization technology, ranging technology and inter-satellite link technology. Thedetailed contents include:
     1. Propose a clock synchronization scheme based on the second order corre-lation feature of thermal light. In recent years, large amount of theoreticaland experimental researches based on correlated optics show that thermalstate has similar second order correlation features as two-photon entan-gled state. Using thermal light can imitate entangled light to implementsimilar correlation experiments such as ghost imaging, ghost interferenceand sub-wavelength interference. So in this dissertation, we design a novel high-precision clock synchronization scheme by using the correlation fea-tures of thermal light combining with conveyor belt synchronization princi-ple,analyze and compare the four diferent implementations of this scheme,and discuss two key parameters: accuracy and update rate.
     2. Propose a distance measurement scheme based on the second order corre-lation feature of thermal light. Because of the good features of thermallight second order coherence function, in this dissertation, a distance mea-surement scheme with the advantages of high-precision, no measuring deadzone and good anti-jamming has been designed.On this basis, a thermallight correlated distance measurement experimental platform has been im-plemented, and a proof of principle experiment has been done, which lays agood foundation for further implementation of outdoor long-distance ther-mal light correlated distance measurement.
     3. Discuss the inter-satellite link technology based on the quantum correlation.In this dissertation, the defnition of inter-satellite link based on quantumcorrelation has been proposed, and the frequency spectrum as well as thesuperiorities of inter-satellite link based on quantum correlation have beendiscussed. The establishment of the basic quantum inter-satellite link hasbeen described, and the relationship between the channel loss and the cor-relation degree of the link has been analyzed. Analogy with open systeminterconnection, the network structure of quantum inter-satellite link hasbeen defned.
引文
[1]袁建平,罗建军,岳晓奎,卫星导航原理与应用,中国宇航出版社,北京,2003.
    [2]文援兰,廖瑛,梁加红,冯向军,朱俊,卫星导航系统分析与仿真技术,中国宇航出版社,北京,2009.
    [3]Kaplan E. and Hegarty C., Understanding GPS:Principles And Applica-tions, Artech House Mobile Communications Series, Artech House,2006.
    [4]周忠谟,易杰军,GPS卫星测量原理与应用,测绘出版社,北京,1992.
    [5]Parkinson B.,"The global positioning system (navstar)", Journal of Geodesy,1979,53,89-108,10.1007/BF02521083.
    [6]Office N.G.P.S.P., NAVSTAR GPS User Equipment:Introduction, Navtech Seminars&Navtech Book and Software Store,1991.
    [7]Corporation A.R., GPS Navstar User's Overview, ARINC Research Cor-poration,1991.
    [8]Marshall P., Least Squares Solutions in Statistical Orbit Determination Us-ing Singular Value Decomposition, Storming Media, Naval Postgraduate School Monterey CA,1999.
    [9]Langley R.B.,"Glonass:Review and update", GPS world,1997,8(7),46-51.
    [10]Kayton M. and Fried W., Avionics Navigation Systems, A Wiley-Interscience publication, J. Wiley,1997.
    [11]Leick A., Gps Satellite Surveying, John Wiley,2004.
    [12]Commission E.,"Galileo mission high level definition",2003.
    [13]谢丰奕,“中国建设北斗卫星导航系统”,卫星电视与宽带多媒体,2007,12,23-24.
    [14]Dirac P., The Principles of Quantum Mechanics, International Series of Monographs on Physics, Clarendon Press,1981.
    [15]倪光炯,陈苏卿,高等量子力学(第二版),上海复旦大学出版社,上海,2004.
    [16]曾谨言,量子力学,科学出版社,北京,2000.
    [17]张礼,葛墨林,量子力学的前沿问题,清华大学出版社,北京,1999.
    [18]曾谨言,裴寿镛,量子力学新进展,北京大学出版社,北京,2000.
    [19]雷奕安(译),新量子世界,湖南科学技术出版社,长沙,1996.
    [20]Giovannetti V., Lloyd S., and Maccone L.,"Quantum-enhanced positioning and clock synchronization", Nature,2001,412(6845),417-419.
    [21]Giovannetti V., Lloyd S., and Maccone L.,"Quantum-enhanced measure-ments:Beating the standard quantum limit", Science,2004,306(5700),1330-1336.
    [22]Giovannetti V., Lloyd S., and Maccone L.,"Positioning and clock synchro-nization through entanglement", Phys. Rev. A,2002,65,022309.
    [23]Bahde T.,"Quantum positioning system",36th Annual Precise Time and Time Interval (PTTI) Meeting, Naval Observatory, Washington DC,2005,423-427.
    [24]D'Ariano G.M., Presti P.L., and Paris M.G.A.,"Using entanglement im-proves the precision of quantum measurements", Phys. Rev. Lett.,2001,87(27),270404.
    [25]Ozawa M.,"Position measuring interactions and the heisenberg uncertainty principle", Physics Letters A,2002,299(1),1-7.
    [26]Ozawa M.,"Conservation laws, uncertainty relations, and quantum limits of measurements", Phys. Rev. Lett.,2002,88(5),050402.
    [27]Hong C.K., Ou Z.Y., and Mandel L.,"Measurement of subpicosecond time intervals between two photons by interference", Phys. Rev. Lett.,1987,59(18),2044-2046.
    [28]Bahde T.,"Quantum positioning systems and methods", US Patent,2008.
    [29]杨春燕,吴德伟,余永林,赵修斌,“干涉式量子定位系统最优星座分布研究”,测绘通报,2009,12,16.
    [30]李永放,王兆华,李百宏,王蕾,李军,廖桂生,“脉冲激光作用下的量子定位实验方案的设计及分析”,光子学报,2010,39(10),1811-1815.
    [31]杨春燕,吴德伟,余永林,张豪,“量子多结构分组纠缠到达时间测量增强方法”,北京邮电大学学报,2011,34(6),33-37.
    [32]Bahder T.B. and Golding W.M.,"Clock synchronization based on second-order quantum coherence of entangled photons", AIP Conf. Proc.,2004,734(1),395-398.
    [33]Valencia A., Scarcelli G., and Shih Y.,"Distant clock synchronization using entangled photon pairs", Applied Physics Letters,2004,(13),2655-2657.
    [34]王蕾,王兆华,李百宏,李军,李永放,“远程时钟同步的量子测量原理”,陕西师范大学学报,2009,37(6),31-34.
    [35]Ananda M., Bernstein H., Cunningham K., et al.,"Global positioning sys-tem (gps) autonomous navigation", Position Location and Navigation Sym-posium,1990. Record. The1990's-A Decade of Excellence in the Naviga-tion Sciences. IEEE PLANS'90., IEEE,1990,497-508.
    [36]Abusali P.A.M., Tapley B.D., and Schutz B.E.,"Autonomous navigation of global positioning system satellites using cross-link measurements", Journal of guidance, control, and dynamics,1998,21(2),7.
    [37]Eissfeller B., Zink T., Wolf R., et al.,"Autonomous satellite state deter-mination by use of two-directional links", Int. J. Satell. Commun.,2000,18(4-5),325-346.
    [38]耿亮,吴诗其,“星座设计与星间链路的建立”,中国空间科学技术,2000,20(6),62-67.
    [39]刘爱军,“基于星上处理的卫星通信系统星上自治和星载dama”,军事通信技术,1998,66(2),4650.
    [40]Gatti A., Brambilla E., Bache M., et al.,"Ghost imaging with thermal light:Comparing entanglement and classicalcorrelation", Phys. Rev. Lett.2004,93(9),093602.
    [41]Ferri F., Magatti D., Gatti A., et al.,"High-resolution ghost image and ghost diffraction experiments with thermal light", Phys. Rev. Lett.,2005,94(18),183602.
    [42]Xiong J., Cao D.Z., Huang F., et al.,"Experimental observation of classical subwavelength interference with a pseudothermal light source", Phys. Rev. Lett.,2005,94(17),173601.
    [43]Scarcelli G., Berardi V., and Shih Y.,"Phase-conjugate mirror via two-photon thermal light imaging", Appl. Phys. Lett.,2006,88(6),061106.
    [44]Basano L. and Ottonello P.,"Experiment in lensless ghost imaging with thermal light", Appl. Phys. Lett.,2006,89(9),091109.
    [45]Gao L., Xiong J., Lin L.F., et al.,"Interference from nonlocal double-slit with pseudo-thermal light", Optics Communications,2008,281(10),2838-2841.
    [46]郭硕鸿,电动力学,高等教育出版社,北京,1984.
    [47]尹真,电动力学(第二版),科学出版社,北京,2005.
    [48]谭维翰,非线性与量子光学(第二版),科学出版社,北京,2000.
    [49]周文,陈秀峰,杨冬晓,光子学基础,浙江大学出版社,杭州,2000.
    [50]范洪义,从量子力学到量子光学:数理进展,上海交通大学出版社,上海,2005.
    [51]Loudon R., The Quantum Theory of Light, Oxford University Press,2000.
    [52]Orszag M., Quantum Optics:Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence, Advanced Texts in Physics, Springer,2000.
    [53]Scully M. and Zubairy M., Quantum Optics, Cambridge University Press,1997.
    [54]Dirac P.A.M.,"The quantum theory of the emission and absorption of radiation", Proceedings of the Royal Society of London. Series A,1927,114(767),243-265.
    [55]Heitler W., The Quantum Theory of Radiation, International series of monographs on physics, Dover Publications,1954.
    [56]Goldin E., Waves and photons:an introduction to quantum optics, Wiley series in pure and applied optics, Wiley,1982.
    [57]Vedral V., Modern Foundations of Quantum Optics, Imperial College Press,2005.
    [58]Glauber R.J.,"The quantum theory of optical coherence", Phys. Rev.1963,130(6),2529-2539.
    [59]Caves C.M.,"Quantum-mechanical noise in an interferometer", Phys. Rev. D,1981,23(8),1693-1708.
    [60]Glauber R.J.,"Photon correlations", Phys. Rev. Lett.,1963,10(3),84-86.
    [61]Mandel L. and Wolf E., Optical Coherence and Quantum Optics, Cam-bridge University Press,1995.
    [62]Glauber R.J.,"Coherent and incoherent states of the radiation field", Phys. Rev.,1963,131(6),2766-2788.
    [63]曹昌祺,辐射和光场的量子统计理论,科学出版社,北京,2006.
    [64]Hanbury Brown R. and Twiss R.,"Correlation between photons in two coherent beams of light", Journal of Astrophysics and Astronomy,1994,15,13-19,10.1007/BF03010401.
    Scarl D.B.,"Measurements of photon correlations in partially coherent light", Phys. Rev.,1968,175(5),1661-1668.
    [66]Mollow B.R.,"Two-photon absorption and field correlation functions" Phys. Rev.,1968,175(5),1555-1563.
    [67]Mikhailov E.E., Horrom T., Belcher N., et al.,"Performance of a prototype atomic clock based on lin||lin coherent population trapping resonances in rb atomic vapor", J. Opt. Soc. Am. B,2010,27(3),417-422.
    [68]Jiang Y., Ludlow A.D., Lemke N.D., et al.,"Making optical atomic clocks more stable with10-16-level laser stabilization", Nat Photon,2011,5(3),158-161.
    [69]Bober M., Zachorowski J., and Gawlik W.,"Designing zeeman slower for strontium atoms-towards optical atomic clock", Optica Applicata,2010,40,547-555.
    [70]Jozsa R., Abrams D.S., Dowling J.P., et al.,"Quantum clock synchroniza-tion based on shared prior entanglement", Phys. Rev. Lett.,2000,85(9),2010-2013.
    [71]Holland M.J. and Burnett K.,"Interferometric detection of optical phase shifts at the heisenberg limit", Phys. Rev. Lett.,1993,71(9),1355-1358.
    [72]Dowling J.P.,"Correlated input-port, matter-wave interferometer: Quantum-noise limits to the atom-laser gyroscope", Phys. Rev. A,1998,57(6),4736-4746.
    [73]Bollinger J.J., Itano W.M., Wineland D. J., et al.,"Optimal frequency mea-surements with maximally correlated states", Phys. Rev. A,1996,54(6), R4649-R4652.
    [74]Eddington A., The Mathematical Theory of Relativity, General Books LLC2010.
    [75]Einstein A.,"On the electrodynamics of moving bodies", Annalen der Physik,1905,17,891.
    [76]Landau L. and Lifshits E., The Classical Theory of Fields, number2in Course of Theoretical Physics, Butterworth-Heinemann,1975.
    [77]Giovannetti V., Lloyd S., Maccone L., et al.,"Clock synchronization with dispersion cancellation", Phys. Rev. Lett.,2001,87(11),117902.
    [78]Giovannetti V., Lloyd S., Maccone L., et al.,"Clock synchronization and dispersion", Journal of Optics B:Quantum and Semiclassical Optics,2002,4(4), S415.
    [79]Giovannetti V., Lloyd S., and Maccone L.,"Conveyor-belt clock synchro-nization", Phys. Rev. A,2004,70(4),043808.
    [80]Lambropoulos P., Kikuchi C., and Osborn R.K.,"Coherence and two-photon absorption", Phys. Rev.,1966,144(4),1081-1086.
    [81]Teich M.C. and Wolga G.J.,"Multiple-photon processes and higher order correlation functions", Phys. Rev. Lett.,1966,16(14),625-628.
    [82]Shen Y.R.,"Quantum statistics of nonlinear optics", Phys. Rev.,1967,155(3),921-931.
    [83]Carusotto S., Fornaca G., and Polacco E.,"Two-photon absorption and coherence", Phys. Rev.,1967,157(5),1207-1213.
    [84]Lambropoulos P.,"Field-correlation effects in two-photon processes", Phys. Rev.,1968,168(5),1418-1423.
    [85]Georgiades N.P., Polzik E.S., Edamatsu K., et al.,"Nonclassical excitation for atoms in a squeezed vacuum", Phys. Rev. Lett.,1995,75(19),3426-3429.
    [86]Takagi Y., Kobayashi T., Yoshihara K., et al.,"Multiple-and single-shot autocorrelator based on two-photon conductivity in semiconductors", Opt. Lett.,1992,17(9),658-660.
    [87]Roth J.M., Murphy T.E., and Xu C,"Ultrasensitive and high-dynamic-range two-photon absorption in a gaas photomultiplier tube", Opt. Lett.2002,27(23),2076-2078.
    Boitier F., Godard A., Rosencher E., et al.,"Measuring photon bunching at ultrashort timescale by two-photon absorption in semiconductors", Nat Phys,2009,5(4),267-270.
    [89]Bergstrand E.,"The geodimeter system a short discussion of its principal function and future development", J. Geophys. Res.,1960,65(2),404-409.
    [90]Pellegrini S., Buller G.S., Smith J.M., et al.,"Laser-based distance measure-ment using picosecond resolution time-correlated single-photon counting" Measurement Science and Technology,2000,11(6),712.
    [91]McCarthy A., Collins R.J., Krichel N.J., et al.,"Long-range time-of-flight scanning sensor based on high-speed time-correlated single-photon count-ing", Appl. Opt.,2009,48(32),6241-6251.
    [92]Bobroff N.,"Recent advances in displacement measuring interferometry" Measurement Science and Technology,1993,4(9),907.
    [93]Pierce R., Leitch J., Stephens M., et al.,"Intersatellite range monitoring using optical interferometry", Appl. Opt.,2008,47(27),5007-5019.
    [94]Dandliker R., Thalmann R., and Prongue D.,"Two-wavelength laser in-terferometry using superheterodyne detection", Opt. Lett.,1988,13(5),339-341.
    [95]Yang H.J., Deibel J., Nyberg S., et al.,"High-precision absolute distance and vibration measurement with frequency scanned interferometry", Appl. Opt.,2005,44(19),3937-3944.
    [96]Ye J.,"Absolute measurement of a long, arbitrary distance to less than anoptical fringe", Opt. Lett.,2004,29(10),1153-1155.
    [97]Coddington I., Swann W.C., Nenadovic L., et al.,"Rapid and precise abso-lute distance measurements at long range", Nat Photon,2009,3(6),351356.
    [98]Lin F. and Liu J.,"Chaotic radar using nonlinear laser dynamics", IEEE Journal of Quantum Electronics,2004,40(6),815.
    Legre M., Thew R., Zbinden H., et al.,"High resolution optical time domain reflectometer based on1.55um up-conversion photon-counting module' Opt. Express,2007,15(13),8237-8242.
    [100]Wang Y.C. and Wang A.B.,"A novel high-resolution chaotic lidar with optical injection to chaotic laser diode", Proc. SPIE, volume6824, SPIE, Beijing, China,2007,682411-6.
    [101]张守信,GPS卫星测定定位理论与应用,国防科技大学出版社,长沙,1996.
    [102]文援兰,航天器精密轨道抗差估计理论与应用的研究,Ph.D.thesis,解放军信息工程大学,2001.
    [103]许其凤,GPS卫星精密导航与定位,解放军出版社,1989.
    [104]Martienssen W. and Spiller E.,"Coherence and fluctuations in light beams", American Journal of Physics,1964,32,919.
    [105]Arecchi F.T.,"Measurement of the statistical distribution of gaussian and laser sources", Phys. Rev. Lett.,1965,15(24),912-916.
    [106]Estes L.E., Narducci L.M., and Tuft R.A.,"Scattering of light from a rotating ground glass", J. Opt. Soc. Am.,1971,61(10),1301-1306.
    [107]Present G. and Scarl D.B.,"Two-photon correlations in a mixture of gaus-sian and laser light", Appl. Opt.,1972,11(1),120-124.
    [108]Li C., Zhang T., Li Y., et al.,"Correction of photon statistics of quantum states in single-photon detection", Proc. SPIE, volume5631, SPIE, Beijing, China,2005,134-142.
    [109]Maine K., Anderson P., and Langer J.,"Crossfinks for the next-generation GPS", Aerospace Conference, Proceedings. IEEE, volume4,2003,1589-1596.
    [110]Holmes J. and Raghavan S.,"A summary of the new GPS ⅡR-m and ⅡF modernization signals", Vehicular Technology Conference, IEEE60th, volume6,2004,4116-4126.
    [111]Rajan J.A.,"Highlights of GPS II-R autonomous navigation", Proceedings of the58th Annual Meeting of The Institute of Navigation and CIGTF21st Guidance Test Symposium, Hyatt Regency Hotel, Albuquerque,2002,354-363.
    [112]Sanchez M., Pulido J., Amarillo F., et al.,"The ESA "GNSS+" project. inter-satellite ranging and communication links in the frame of the gnss infrastructure evolutions", Proceedings of the21st International Technical Meeting of the Satellite Division of The Institute of Navigation, Savannah International Convention Center, Savannah, GA,2008,2538-2546.
    [113]Senant E., Fernet C., Brocard D., et al.,"Global/regional advanced au-tonomous localization system (graal)", Proceedings of the22nd Interna-tional Technical Meeting of The Satellite Division of the Institute of Nav-igation, Savannah International Convention Center, Savannah, GA,2009,1386-1395.
    [114]张更新,张杭,卫星移动通信系统,通信工程丛书,人民邮电出版社,北京,2001.
    [115]Adesso G., Entanglement of Gaussian states, Ph.D. thesis,2007.
    [116]Law C.K., Walmsley I.A., and Eberly J.H.,"Continuous frequency entan-glement:Effective finite hilbert space and entropy control", Phys. Rev. Lett.,2000,84,5304-5307.
    [117]Giedke G., Wolf M.M., Kriiger O., et al.,"Entanglement of formation for symmetric gaussian states", Phys. Rev. Lett.,2003,91,107901.
    [118]Vidal G. and Werner R.F.,"Computable measure of entanglement", Phys. Rev. A,2002,65,032314.
    [119]Fedorov M.V., Efremov M.A., Volkov P.A., et al.,"Anisotropically and high entanglement of biphoton states generated in spontaneous parametric down-conversion", Phys. Rev. Lett.,2007,99,063901.
    [120]Bennett C.H., Brassard G., Crepeau C, et al.,"Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels" Phys. Rev. Lett.,1993,70(13),1895-1899.
    [121]Bouwmeester D., Pan J.W., Mattle K., et al.,"Experimental quantum tele-portation", Nature,1997,390(6660),575-579.
    [122]Davidovich L., Zagury N., Brune M., et al.,"Teleportation of an atomic state between two cavities using nonlocal microwave fields", Phys. Rev. A,1994,50(2), R895-R898.
    [123]Boschi D., Branca S., De Martini F., et al.,"Experimental realization of teleporting an unknown pure quantum state via dual classical and einstein-podolsky-rosen channels", Phys. Rev. Lett.,1998,80(6),1121-1125.
    [124]Braunstein S.L. and Mann A.,"Measurement of the bell operator and quantum teleportation", Phys. Rev. A,1995,51(3), R1727-R1730.
    [125]Zheng S.B. and Guo G.C.,"Teleportation of atomic states within cavities in thermal states", Phys. Rev. A,2001,63(4),044302.
    [126]Pati A.K.,"Minimum classical bit for remote preparation and measurement of a qubit", Phys. Rev. A,2000,63(1),014302.
    [127]Lo H.K.,"Classical-communication cost in distributed quantum-information processing:A generalization of quantum-communication com-plexity", Phys. Rev. A,2000,62(1),012313.
    [128]Berry D.W. and Sanders B.C.,"Optimal remote state preparation", Phys. Rev. Lett.,2003,90(5),057901.
    [129]Zeng B. and Zhang P.,"Remote-state preparation in higher dimension and the parallelizable manifold sn-1", Phys. Rev. A,2002,65(2),022316.
    [130]Leung D.W. and Shor P.W.,"Oblivious remote state preparation", Phys. Rev. Lett.,2003,90(12),127905.
    [131]Kurucz Z., Adam P., and Janszky J.,"General criterion for oblivious remote state preparation", Phys. Rev. A,2006,73(6),062301.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700