多光子量子纠缠技术及其应用
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摘要
量子信息技术目前已经成功地将量子力学基本原理应用至密码学、计算机科学、度量学等学科领域,不过多数情况下量子信息是以光子为载体,因而多光子纠缠操纵技术对构建量子信息系统便显得尤为重要。
     通常我们基于自发参量下转换技术产生高质量的极化纠缠光子对,而进一步利用超纠缠,能够使得量子信息同时加载于光子的极化模式和空间模式。这里我们实验制备了超纠缠十量子比特薛定谔猫态;基于四光子六量子比特态实现了量子受控非门;利用非团簇态实现了基于测量的量子计算;基于不同的六量子比特图态实现了Bell不等式测量。利用改进的新型量子纠缠光源,首次成功实验制备了八光子薛定谔猫态。同时,我们对利用PPKTP晶体制备纠缠光源进行了研究。
Recent advances in quantum information processing have enabled practical applications of quantum mechanics in various fields such as cryptography, computation, and metrology. Most of these applications use photons as carriers of quantum information. Therefore, engineering the quantum state of photons is essential for the realization of quantum information schemes.
     A practical technique to generate high-quality polarization entangled photon pairs is spontaneous parametric down conversion (SPDC) process. Furthermore, quantum information can be encoded in the polarization mode and spatial mode of photons by making use of hyper-entanglement. We experimentally demonstrated a hyper-entangled ten-qubit "Schrodinger cat" state. We experimentally realized a Controlled-NOT gate with four-photon six-qubit cluster states. We experimentally demonstrated measurement-based quantum computing beyond the cluster-state model. We experimentally implemented Bell inequality tests of four-photon six-qubit graph states. By using new ultra-bright sources of entangled photon pairs, the eight-photon "Schrodinger cat" state was created for the first time. Meanwhile, we designed the entangled photon source based on PPKTP crystal.
引文
(Almeida, et al.,2007)Almeida, MP, De Melo, F., Hor-Meyll, M., Salles, A., Walborn, SP, Ribeiro, P.H.S. and Davidovich, L.2007. Environment-induced sudden death of entanglement. Science,316:579-582.
    (Aspect, et al.,1982) Aspect, A., Dalibard, J. and Roger, G.1982. Experimental test of Bell's inequalities using time-varying analyzers. Physical Review Letters,49:1804-1807.
    (Bajcsy, et al.,2003) Bajcsy, M., Zibrov, A.S. and Lukin, M.D.2003. Stationary pulses of light in an atomic medium. Arxiv preprint quant-ph/0311092,
    (Barrett, et al.,2004) Barrett, MD, Chiaverini, J., Schaetz, T., Britton,J., Itano, WM, Jost, JD, Knill, E., Langer, C, Leibfried, D. and Ozeri, R.2004. Deterministic quantum teleportation of atomic qubits. Nature,429:737-739.
    (Bell,1964) Bell, JS Physics 1195 Bell JS 1987 Speakable and Unspeakable in Quantum Mechanics, Cambridge:Cambridge University Press.(1964).
    (Bennett,1992) Bennett, C.H.1992. Quantum cryptography using any two nonorthogonal states. Physical Review Letters,68:3121-3124.
    (Bennett, et al.,1996) Bennett, C.H., Bernstein, H.J., Popescu, S. and Schumacher, B.1996. Concentrating partial entanglement by local operations. Physical Review A,53:2046.
    (Bennett, et al.,1984) Bennett, C.H. and Brassard, G. (1984). Quantum cryptography:Public key distribution and coin tossing, Bangalore, India.
    (Bennett, et al.,1993) Bennett, C.H., Brassard, G., Crepeau, C, Jozsa, R., Peres, A. and Wootters, W.K.1993. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Physical Review Letters,70:1895.
    (Bennett, et al.,1995) Bennett, C.H., Brassard, G., Crepeau, C. and Maurer, U.M.1995. Generalized privacy amplification. Information Theory, IEEE Transactions on,41:1915-1923.
    (Bennett, et al.,1996) Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A. and Wootters, W.K.1996. Purification of noisy entanglement and faithful teleportation via noisy channels. Physical Review Letters,76:722-725.
    (Bennett, et al.,1992) Bennett, C.H. and Wiesner, S.J.1992. Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states. Physical Review Letters, 69:2881-2884.
    (Bodiya, et al.,2006) Bodiya, TP and Duan, L.M.2006. Scalable generation of graph-state entanglement through realistic linear optics. Physical Review Letters,97:143601.
    (Bohr,1935) Bohr, N.1935. Can Quantum-Mechanical Description of Physical Reality be Considered Complete? Physical review,48:696-702.
    (Bollinger,et al.,1996) Bollinger, JJ, Itano, W.M., Wineland, DJ and Heinzen, DJ.1996. Optimal frequency measurements with maximally correlated states. Physical Review A, 54:4649-4652.
    (Boschi, et al.,1998) Boschi, D., Branca, S., De Martini, F., Hardy, L. and Popescu, S.1998. Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels. Physical Review Letters,80:1121-1125.
    (Bourennane,et al.,2004) Bourennane, M., Eibl, M., Kurtsiefer, C., Gaertner, S., Weinfurter, H., Gtlhne, O., Hyllus, P., Bruβ, D., Lewenstein, M. and Sanpera, A.2004. Experimental detection of multipartite entanglement using witness operators. Physical Review Letters, 92:87902.
    (Bouwmeester,et al.,2001)Bouwmeester, D., Ekert, A.K. and Zeilinger, A. The physics of quantum information, Springer. (2001).
    (Bouwmeester, et al.,1997) Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H. and Zeilinger, A.1997. Experimental quantum teleportation. Nature,390:575-579.
    (Braginskii, et al.,1975) Braginskii, V.B. and Vorontsov, Y.I.1975. Quantum-mechanical limitations in macroscopic experiments and modern experimental technique. Physics-Uspekhi, 17:644-650.
    (Briegel, et al.,1998) Briegel, H.J., Dtir, W., Cirac, J.I. and Zoller, P.1998. Quantum repeaters: The role of imperfect local operations in quantum communication. Physical Review Letters, 81:5932-5935.
    (Briegel, et al.,2001) Briegel, H.J. and Raussendorf, R.2001. Persistent entanglement in arrays of interacting particles. Physical Review Letters,86:910-913.
    (Bruβ,1998) Bruβ, D.1998. Optimal eavesdropping in quantum cryptography with six states. Physical Review Letters,81:3018-3021.
    (Cabello,2005) Cabello, A.2005. Stronger two-observer all-versus-nothing violation of local realism. Physical Review Letters,95:210401.
    (Cabello, et al.,2007) Cabello, A., Guhne, O. and Rodriguez, D.2007. Mermin inequalities for perfect correlations. Arxiv preprint arXiv:0708.3208,
    (Cabello, et al.,2007) Cabello, A. and Moreno, P.2007. Bipartite all-versus-nothing proofs of Bell's theorem with single-qubit measurements. Physical Review Letters,99:220402.
    (Cabello,et al.,2008) Cabello, A., Rodriguez, D. and Villanueva, I.2008. Necessary and sufficient detection efficiency for the Mermin inequalities. Physical Review Letters, 101:120402.
    (Cai,et al.,2009) Cai, J.M., Dur, W., Van den Nest, M., Miyake, A. and Briegel, HJ.2009. Quantum computation in correlation space and extremal entanglement. Physical Review Letters,103:50503.
    (Casati.et al.,2006) Casati, G., Shepelyansky, D.L., Zoller, P. and Benenti, G. Quantum computers, algorithms, and chaos, Ios Pr Inc. (2006).
    (Chaneliere, et al.,2005) Chaneliere, T., Matsukevich, DN, Jenkins, SD, Lan, S.Y., Kennedy, TAB and Kuzmich, A.2005. Storage and retrieval of single photons transmitted between remote quantum memories. Nature,438:833-836.
    (Chen, et al.,2007) Chen, K., Li, C.M., Zhang, Q., Chen, Y.A., Goebel, A., Chen, S., Mair, A. and Pan, J.W.2007. Experimental realization of one-way quantum computing with two-photon four-qubit cluster states. Physical Review Letters,99:120503.
    (Chen, et al.,2009) Chen, X., Zeng, B., Gu, Z.C., Yoshida, B. and Chuang, I.L.2009. Gapped two-body Hamiltonian whose unique ground state is universal for one-way quantum computation. Physical Review Letters,102:220501.
    (Clauser, et al.,1969) Clauser, J.F., Home, M.A., Shimony, A. and Holt, R.A.1969. Proposed experiment to test local hidden-variable theories. Physical Review Letters,23:880-884.
    (Cleve, et al.,1999) Cleve, R., Gottesman, D. and Lo, H.1999. How to Share a Quantum Secret. Physical Review Letters,83:
    (Dur,2001)DUr, W.2001. Multipartite entanglement that is robust against disposal of particles. Physical Review A,63:020303.
    (DUr, et al.,2000)Dur, W., Vidal, G. and Cirac, J.I.2000. Three qubits can be entangled in two inequivalent ways. Arxiv preprint quant-ph/0005115,
    (Deutsch, et al.,1996) Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S. and Sanpera, A.1996. Quantum privacy amplification and the security of quantum cryptography over noisy channels. Physical Review Letters,77:2818-2821.
    (Deutsch, et al.,1992) Deutsch, D. and Jozsa, R.1992. Rapid solution of problems by quantum computation. Proceedings of the Royal Society of London. Series A:Mathematical and Physical Sciences,439:553-558.
    (Duan,et al.,2001) Duan, L.M., Lukin, M., Cirac, I. and Zoller, P.2001. Long-distance quantum communication with atomic ensembles and linear optics. Nature,414:413-418.
    (Einstein, et al.,1935) Einstein, A., Podolsky, B. and Rosen, N.1935. Can quantum-mechanical description of physical reality be considered complete? Physical review,47:777.
    (Ekert,1991)Ekert, A.K.1991. Quantum cryptography based on Bell's theorem. Physical Review Letters,67:661-663.
    (Fannes, et al.,1992) Fannes, M., Nachtergaele, B. and Werner, R.F.1992. Finitely correlated states on quantum spin chains. Communications in mathematical physics,144:443-490.
    (Fulconis, et al.,2007) Fulconis, J., Alibart, O., O'Brien, J.L., Wadsworth, W.J. and Rarity, J.G. 2007. Nonclassical interference and entanglement generation using a photonic crystal fiber pair photon source. Physical Review Letters,99:120501.
    (Guhne,et al.,2007) Gtihne, O., Lu, C.Y., Gao, W.B. and Pan, J.W.2007. Toolbox for entanglement detection and fidelity estimation. Physical Review A,76:030305.
    (GUhne, et al.,2005) Guhne, O., Toth, G., Hyllus, P. and Briegel, H.J.2005. Bell inequalities for graph states. Physical Review Letters,95:120405.
    (Gilchrist, et al.,2005)Gilchrist, A., Langford, N.K.. and Nielsen, M.A.2005. Distance measures to compare real and ideal quantum processes. Physical Review A,71:062310.
    (Giovannetti,et al.,2004) Giovannetti, V, Lloyd, S. and Maccone, L.2004. Quantum-enhanced measurements:beating the standard quantum limit. Science, 306:1330-1336.
    (Gisin,et al.,2002) Gisin, N., Ribordy, G., Tittel, W. and Zbinden, H.2002. Quantum cryptography. Reviews of modern physics,74:145-195.
    (Greenberger, et al.,2007) Greenberger, D.M., Home, M.A. and Zeilinger, A.2007. Going beyond Bell's theorem. Arxiv preprint arXiv:0712.0921,
    (Grice.et al.,1997) Grice, WP and Walmsley, IA..1997. Spectral information and distinguishability in type-Ⅱ down-conversion with a broadband pump. Physical Review A, 56:1627.
    (Gross, et al.,2007) Gross, D. and Eisert, J.2007. Novel schemes for measurement-based quantum computation. Physical Review Letters,98:220503.
    (Gross, et al.,2007) Gross, D., Eisert, J., Schuch, N. and Perez-Garcia, D.2007. Measurement-based quantum computation beyond the one-way model. Physical Review A, 76:052315.
    (Grover,1996) Grover, L.K. (1996). A fast quantum mechanical algorithm for database search, ACM.
    (Hadamard,1893)Hadamard, J.1893. Resolution d'une question relative aux determinants. Bull. Sci. Math,17:240-246.
    (Hein, et al.,2004) Hein, M., Eisert, J. and Briegel, H.J.2004. Multiparty entanglement in graph states. Physical Review A,69:062311.
    (Heisenberg,1927) Heisenberg, W.1927. Uber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Zeitschrift fur Physik A Hadrons and Nuclei, 43:172-198.
    (Hofmann,2005) Hofmann, H.F.2005. Complementary classical fidelities as an efficient criterion for the evaluation of experimentally realized quantum operations. Physical Review Letters,94:160504.
    (Hofmann,2005) Hofmann, H.F.2005. Quantum parallelism of the controlled-NOT operation: An experimental criterion for the evaluation of device performance. Physical Review A, 72:022329.
    (Hong, et al.,1987) Hong, CK, Ou, ZY and Mandel, L.1987. Measurement of subpicosecond time intervals between two photons by interference. Physical Review Letters,59:2044-2046.
    (Horodecki,et al.,1998) Horodecki, P., Horodecki, M. and Horodecki, R.1998. General teleportation channel, singlet fraction and quasi-distillation. Arxiv preprint quant-ph/9807091,
    (James, etal.,2001) James, D.F.V., Kwiat, P.G., Munro, W.J. and White, A.G.2001. Measurement of qubits. Physical Review A,64:052312.
    (Jin, et al.,2010) Jin, X.M., Ren, J.G., Yang, B., Yi, Z.H., Zhou, F., Xu, X.F., Wang, S.K., Yang, D., Hu, Y.F. and Jiang, S.2010. Experimental free-space quantum teleportation. Nature Photonics,4:376-381.
    (Jones,1948)Jones, R.C.1948. A new calculus for the treatment of optical systems. VII. Properties of the N-matrices. JOSA,38:671-683.
    (Keller, et al.,1997) Keller, T.E. and Rubin, M.H.1997. Theory of two-photon entanglement for spontaneous parametric down-conversion driven by a narrow pump pulse. Physical Review A,56:1534.
    (Kiesel, et al.,2005) Kiesel, N., Schmid, C, Weber, U., Toth, G, Guhne, O., Ursin, R. and Weinfurter, H.2005. Experimental analysis of a four-qubit photon cluster state. Physical Review Letters,95:210502.
    (Kiesel, et al.,2005) Kiesel, N, Schmid, C, Weber, U., Ursin, R. and Weinfurter, H.2005. Linear optics controlled-phase gate made simple. Physical Review Letters,95:210505.
    (Kim, et al.,2003) Kim, Y.H., Kulik, S.P., Chekhova, M.V., Grice, W.P. and Shih, Y.2003. Experimental entanglement concentration and universal Bell-state synthesizer. Physical Review A,67:010301.
    (Klyshko,1993) Klyshko, DN.1993. The Bell and GHZ theorems:a possible three-photon interference experiment and the question of nonlocality. Physics Letters A,172:399-403.
    (Krischek, et al.,2010)Krischek, R., Wieczorek, W., Ozawa, A., Kiesel, N., Michelberger, P. Udem, T. and Weinfurter, H.2010. Ultraviolet enhancement cavity for ultrafast nonlinear optics and high-rate multiphoton entanglement experiments. Nature Photonics,4:170-173.
    (Kuklewicz,etal.,2004) Kuklewicz, C.E., Fiorentino, M., Messin, G., Wong, F.N.C. and Shapiro, J.H.2004. High-flux source of polarization-entangled photons from a periodically poled KTiOPO_{4} parametric down-converter. Physical Review A,69:013807.
    (Kwiat,1997) Kwiat, P.G.1997. Hyper-entangled states. Journal of Modern Optics, 44:2173-2184.
    (Kwiat,et al.,2001) Kwiat, P.G., Barraza-Lopez, S., Stefanov, A. and Gisin, N.2001. Experimental entanglement distillation and'hidden'non-locality. Nature,409:1014-1017.
    (Kwiat, et al.,1995) Kwiat, P.G., Mattle, K., Weinfurter, H., Zeilinger, A., Sergienko, A.V. and Shih, Y.1995. New high-intensity source of polarization-entangled photon pairs. Physical Review Letters,75:4337-4341.
    (Lo, et al.,2005) Lo, H.K., Ma, X. and Chen, K.2005. Decoy state quantum key distribution. Physical Review Letters,94:230504.
    (Lu, et al.,2009) Lu, C.Y., Gao, W.B., Guhne, O., Zhou, X.Q., Chen, Z.B. and Pan, J.W.2009. Demonstrating anyonic fractional statistics with a six-qubit quantum simulator. Physical Review Letters,102:30502.
    (Lu, et al.,2007) Lu, C.Y., Zhou, X.Q., Guhne, O., Gao, W.B., Zhang, J., Yuan, Z.S., Goebel, A., Yang, T. and Pan, J.W.2007. Experimental entanglement of six photons in graph states. Nature Physics,3:91-95.
    (Ma, et al.,2011) Ma, X., Zotter, S., Tetik, N., Qarry, A., Jennewein, T. and Zeilinger, A.2011. A high-speed tunable beam splitter for feed-forward photonic quantum information processing. Optics Express,19:22723-22730.
    (Mair, et al.,2001) Mair, A., Vaziri, A., Weihs, G. and Zeilinger, A.2001. Entanglement of orbital angular momentum states of photons. Arxiv preprint quant-ph/0104070,
    (Mattle, et al.,1996) Mattle, K., Weinfurter, H., Kwiat, P.G. and Zeilinger, A.1996. Dense coding in experimental quantum communication. Physical Review Letters,76:4656.
    (Mermin,1990) Mermin, N.D.1990. Extreme quantum entanglement in a superposition of macroscopically distinct states. Physical Review Letters,65:1838-1840.
    (Nagata, et al.,2007) Nagata, T., Okamoto, R., O'brien, J.L., Sasaki, K. and Takeuchi, S.2007. Beating the standard quantum limit with four-entangled photons. Science,316:726-729.
    (Nielsen,2004) Nielsen, M.A.2004. Optical quantum computation using cluster states. Physical Review Letters,93:40503.
    (Nielsen, et al.,2002) Nielsen, M.A., Chuang, I. and Grover, L.K.2002. Quantum computation and quantum information. American Journal of Physics,70:558.
    (Nielsen, et al,1998) Nielsen, M.A., Knill, E. and Laflamme, R.1998. Complete quantum teleportation using nuclear magnetic resonance. Arxiv preprint quant-ph/9811020,
    (O'Brien, et al.,2003) O'Brien, J.L., Pryde, G.J., White, A.G., Ralph, T.C. and Branning, D. 2003. Demonstration of an all-optical quantum control led-NOT gate. Nature,426:264-267.
    (Ou,1997)Ou, ZY.1997. Fundamental quantum limit in precision phase measurement. Physical Review A,55:2598.
    (Pan, et al.,1998)Pan, J.W., Bouwmeester, D., Weinfurter, H. and Zeilinger, A.1998. Experimental entanglement swapping:Entangling photons that never interacted. Physical Review Letters,80:3891-3894.
    (Pan, et al.,2003)Pan, J.W., Gasparoni, S., Ursin, R., Weihs, G. and Zeilinger, A.2003. Experimental entanglement purification of arbitrary unknown states. Nature,423:417-422.
    (Pan, et al.,2001)Pan, J.W., Simon, C., Brukner, C. and Zeilinger, A.2001. Entanglement purification for quantum communication. Nature,410:1067-1070.
    (Park, et al.,2007) Park, H.S., Cho, J., Lee, J.Y., Lee, D.H. and Choi, S.K.2007. Two-photon four-qubit cluster state generation based on a polarization-entangled photon pair. Optics Express,15:17960-17966.
    (Pearle,1970) Pearle, P.M.1970. Hidden-variable example based upon data rejection. Physical Review D,2:1418.
    (Pelton, et al.,2004) Pelton, M., Marsden, P., Ljunggren, D., Tengner, M., Karlsson, A., Fragemann, A., Canalias, C. and Laurell, F.2004. Bright, single-spatial-mode source of frequency non-degenerate, polarization-entangled photon pairs using periodically poled KTP. Optics Express,12:3573-3580.
    (Peng, et al.,2007) Peng, C.Z., Zhang, J., Yang, D., Gao, W.B., Ma, H.X., Yin, H., Zeng, H.P., Yang, T., Wang, X.B. and Pan, J.W.2007. Experimental long-distance decoy-state quantum key distribution based on polarization encoding. Physical Review Letters,98:10505.
    (Perez-Garcia,et al.,2007) Perez-Garcia, D., Verstraete, F., Wolf, M.M. and Cirac, J.I.2007. Matrix product state representations. Quantum Information & Computation,7:401-430.
    (Prevedel, et al.,2007)Prevedel, R., Walther, P., Tiefenbacher, F., Bohi, P., Kaltenbaek, R., Jennewein, T. and Zeilinger, A.2007. High-speed linear optics quantum computing using active feed-forward. Nature,445:65-69.
    (RALPH, et al.,2002) RALPH, TC, LANGFORD, NK, BELL, TB and WHITE, AG.2002. Linear optical controlled-NOT gate in the coincidence basis. Physical review. A, 65:062324.062321-062324.062325.
    (Rarity, et al.,2005) Rarity, J., Fulconis, J., Duligall, J., Wadsworth, W. and Russell, P.2005. Photonic crystal fiber source of correlated photon pairs. Optics Express,13:534-544.
    (Raussendorf,et al.,2001) Raussendorf, R. and Briegel, H.J.2001. A one-way quantum computer. Physical,Review Letters,86:5188-5191.
    (Riebe, et al.,2004) Riebe, M., Haffner, H., Roos, CF, Hansel, W., Benhelm, J., Lancaster, GPT, Korber, TW, Becher, C., Schmidt-Kaler, F. and James, DFV.2004. Deterministic quantum teleportation with atoms. Nature,429:734-737.
    (Rivest, et al.,1978) Rivest, R.L., Shamir, A. and Adleman, L.1978. A method for obtaining digital signatures and public-key cryptosystems. Communications of the ACM,21:120-126.
    (Rosenberg, et al.,2007) Rosenberg, D., Harrington, J.W., Rice, P.R., Hiskett, P.A., Peterson, C.G., Hughes, R.J., Lita, A.E., Nam, S.W. and Nordholt, J.E.2007. Long-distance decoy-state quantum key distribution in optical fiber. Physical Review Letters,98:10503.
    (Scarani, et al.,2005) Scarani, V., Acin, A., Schenck, E. and Aspelmeyer, M.2005. Nonlocality of cluster states of qubits. Physical Review A,71:042325.
    (Schlingemann, et al.,2001) Schlingemann, D. and Werner, R.F.2001. Quantum error-correcting codes associated with graphs. Physical Review A,65:012308.
    (Schmitt-Manderbach, et al.,2007) Schmitt-Manderbach, T., Weier, H., Furst, M., Ursin, R., Tiefenbacher, F., Scheidl, T., Perdigues, J., Sodnik, Z., Kurtsiefer, C. and Rarity, J.G.2007. Experimental demonstration of free-space decoy-state quantum key distribution over 144 km. Physical Review Letters,98:10504.
    (Schrodinger,1935) Schrodinger, E. (1935). Discussion of probability relations between separated systems, Cambridge Univ Press.
    (Schrodinger,1935) Schrodinger, E.1935. The Present Status of Quantum Mechanics. Die Naturwissenschaften,23:
    (Shor,1994) Shor, P.W. (1994). Algorithms for quantum computation:discrete logarithms and factoring, IEEE.
    (Shor, et al.,2000) Shor, P.W. and Preskill, J.2000. Simple proof of security of the BB84 quantum key distribution protocol. Physical Review Letters,85:441-444.
    (Tame,et al.,2007) Tame, MS, Prevedel, R., Paternostro, M., Bohi, P., Kim, MS and Zeilinger, A.2007. Experimental realization of Deutsch's algorithm in a one-way quantum computer. Physical Review Letters,98:140501.
    (Tokunaga, et al.,2008) Tokunaga, Y., Kuwashiro, S., Yamamoto, T., Koashi, M. and Imoto, N.2008. Generation of high-fidelity four-photon cluster state and quantum-domain demonstration of one-way quantum computing. Physical Review Letters,100:210501.
    (Vallone.et al.,2007) Vallone, G., Pomarico, E., Mataloni, P., De Martini, F. and Berardi, V. 2007. Realization and characterization of a two-photon four-qubit linear cluster state. Physical Review Letters,98:180502.
    (Varnava, et al.,2008) Varnava, M., Browne, D.E. and Rudolph, T.2008. How good must single photon sources and detectors be for efficient linear optical quantum computation? Physical Review Letters,100:60502.
    (Walther, et al.,2005) Walther, P., Aspelmeyer, M., Resch, K.J. and Zeilinger, A.2005. Experimental violation of a cluster state Bell inequality. Physical Review Letters,95:20403.
    (Walther, et al.,2005) Walther, P., Resch, K.J., Rudolph, T., Schenck, E., Weinfurter, H., Vedral, V., Aspelmeyer, M. and Zeilinger, A.2005. Experimental one-way quantum computing. Nature, 434:169-176.
    (Wang,2005)Wang, X.B.2005. Beating the photon-number-splitting attack in practical quantum cryptography. Physical Review Letters,94:230503.
    (Wei, et al.,2003)Wei, T.C., Nemoto, K., Goldbart, P.M., Kwiat, P.G., Munro, W.J. and Verstraete, F.2003. Maximal entanglement versus entropy for mixed quantum states. Physical Review A,67:022110.
    (Werner,1989) Werner, R.F.1989. Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. Physical Review A,40:4277-4281.
    (Werner, et al.,2001) Werner, RF and Wolf, MM.2001. All-multipartite Bell-correlation inequalities for two dichotomic observables per site. Physical Review A,64:32112.
    (White, et al.,1999) White, A.G., James, D.F.V., Eberhard, P.H. and Kwiat, P.G.1999. Nonmaximally entangled states:Production, characterization, and utilization. Physical Review Letters,83:3103-3107.
    (Wootters, et al.,1982)Wootters, W.K. and Zurek, W.H.1982. A single quantum cannot be cloned. Nature,299:802-803.
    (Zhao, et al.,2008) Zhao, B., Chen, Y.A., Bao, X.H., Strassel, T., Chuu, C.S., Jin, X.M., Schmiedmayer, J., Yuan, Z.S., Chen, S. and Pan, J.W.2008. A millisecond quantum memory for scalable quantum networks. Nature Physics,5:95-99.
    (Zhao, et al.,2003) Zhao, Z., Yang, T., Chen, Y.A., Zhang, A.N., Zukowski, M. and Pan, J.W. 2003. Experimental violation of local realism by four-photon Greenberger-Home-Zeilinger entanglement. Physical Review Letters,91:180401.
    (Zukowski,1993) Zukowski, M.1993. Bell theorem involving all settings of measuring apparatus. Physics Letters A,177:290-296.
    (Zukowski, et al.,1993) Zukowski, M., Zeilinger, A., Home, MA and Ekert, AK.1993. "Event-ready-detectors"Bell experiment via entanglement swapping. Physical Review Letters, 71:4287-4290.
    (张永德,2006)张永德 量子信息物理原理,科学出版社.(2006).

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