Preparation of Entangled Four-photon Polarization State and Its Application in Teleportation via Cross-Phase Modulation

ZHAO Chun-ran; YE Liu

doi:10.3788/gzxb20124104.0478

[1] DUR W, VIDAL G, CIRAC J I. Three qubits can be entangled in two inequivalent ways［J］. Physical Review A, 2000, 62(6): 062314.

[2] HFFNER H, HNSEL W, ROOS C F, et al. Scalable multiparticle entanglement of trapped ions［J］. Nature (London), 2005, 438(7068): 643-646.

[3] EIBL M, GAERTNER S, BOURENNANE M, et al. Experimental observation of four-photon entanglement from parametric down-conversion［J］. Physical Review Letters, 2003, 90(20): 200403.

[4] ZHAO Zhi, CHEN Yu-ao, ZHANG An-ning, et al. Experimental demonstration of five-photon entanglement and open-destination teleportation［J］. Nature, 2004, 430(6995): 54-58.

[5] HEIN M, EISERT J, BRIEGEL H J. Multiparty entanglement in graph states［J］. Physical Review A, 2004, 69(6): 062311.

[6] WALTHER P, RESCH K J, RUDOLPH T, et al. Experimental one-way quantum computing［J］. Nature, 2005, 434(7030): 169-176.

[7] TOTH G. Detection of multipartite entanglement in the vicinity of symmetric Dicke states［J］. Journal of the Optical Society of America B: Optical Physics, 2007, 24(2): 275-282.

[8] KIESEL N, SCHMID C, TOTH G, et al. Experimental observation of four-photon entangled dicke state with high fidelity［J］. Physical Review Letters, 2007, 98(6): 063604.

[9] TASHIMA T, ZDEMIR S K, YAMAMOTO T, et al. Elementary optical gate for expanding an entanglement web［J］. Physical Review A, 2008, 77(3): 030302.

[10] WIECZOREK W, KIESEL N, SCHMID C, et al. Multiqubit entanglement engineering via projective measurements［J］. Physical Review A, 2009, 79(2): 022311.

[11] DI Tie-gang, MUTHUKRISHNAN A, SCULLY M O, et al. Quantum teleportation of an arbitrary superposition of atomic Dicke states［J］. Physical Review A, 2005, 71(6): 062308.

[12] ZHU Meng-Zheng, YIN Xin-guo, YUAN Guang-yu. Quantum teleportation of an entangled 2-photon polarization state with preparing determinately two Bell states based on cross-Kerr nonlinearity［J］. Optics Communications, 2011, 284(13): 3483-3487.

[13] JIN Guang-sheng, LIN Yuan, WU Biao. Generating multiphoton Greenberger-Horne-Zeilinger states with weak cross-Kerr nonlinearity［J］. Physical Review A, 2007, 75(5): 054302.

[14] BARRETT S D, KOK P, NEMOTO K, et al. Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities［J］. Physical Review A, 2005, 71(6): 060302.

[15] NEMOTO K, MUNRO W J. Nearly deterministic linear optical controlled-NOT gate［J］. Physical Review Letters, 2004, 93(25): 250502.

[16] MUNRO W J, NEMOTO K, SPILLER T P. Weak nonlinearities: a new route to optical quantum computation［J］. New Journal of Physics, 2005, 7(1): 137-1 - 137-12.

[17] ZHAO Chun-ran, YE Liu. Efficient scheme for the preparation of symmetric Dicke states via cross-Kerr nonlinearity［J］. Physics Letters A, 2011, 375(3): 401-405.

[18] STOCKTON J K, GEREMIA J M, DOHERTY A C, et al. Characterizing the entanglement of symmetric many-particle spin-1/2 systems［J］. Physical Review A, 2003, 67(2): 022112.

[19] NIELSEN M A, CHUANG I L. Quantum computation and quantum information［M］. Cambridge: Cambridge University Press, 2000.

[20] STOCKTON J K, Van HANDEL R, MABUCHI H. Deterministic dicke-state preparation with continuous measurement and control［J］. Physical Review A, 2004, 70(2): 022106.

[21] LI Yuan-hua, LIU Jun-chang, NIE Yi-you. Quantum Iinformation splitting by using a genuinely entangled six-qubit state and bell-state measurements［J］. Acta Photonica Sinica, 2011, 40(2): 307-310.

[22] CAI Xin-hua, QIAO Nao-sheng, PENG Guang-han. Entanglement concentration of single-photon entangled states［J］. Acta Photonica Sinica, 2010, 39(1): 153-155.

[23] PREVEDEL R, CRONENBERG G, TAME M S, et al. Experimental realization of dicke states of up to six qubits for multiparty quantum networking［J］. Physical Review Letters, 2009, 103(2): 020503.

[24] SHIMAMURA J, ODEMIR S K, MORIKOSHI F, et al. Entangled states that cannot reproduce original classical games in their quantum version［J］. Physics Letters A, 2004, 328(1): 20-25.

[25] GORBACHEV V N, TRUBILKO A I, RODICHKINA A A. Teleportation through W-class states［J］. Optics and Spectroscop, 2003, 94(5): 706-710.

[26] GORBACHEV V N, TRUBILKO A I, RODICHKINA A A, et al. Can the states of the W-class be suitable for teleportation ［J］. Physics Letters A, 2003, 314(4): 267-271.

[27] MURAO M, JONATHAN D, PLENIO M B, et al. Quantum telecloning and multiparticle entanglement［J］. Physical Review A, 1999, 59(1): 156-161.

[28] JOO J, PARK Y J, LEE J, et al. Quantum secure communication via a W state［J］. Journal of Korean Physical Society, 2005, 46(4): 763-768.

[29] DUR W. Multipartite entanglement that is robust against disposal of particles［J］. Physical Review A, 2001, 63(2): 020303.

[30] GUHNE O, BODOKY F, BLAAUBOER M. Multiparticle entanglement under the influence of decoherence［J］. Physical Review A, 2008, 78(6): 060301.

[31] MUNRO W J, NEMOTO K, SPILLER T P, et al. Efficient optical quantum information processing［J］. Journal of Optics B: Quantum and Semiclassical Optics, 2005, 7(7): S135-S140.

[32] RALPH T C, LANGFORD N K, BELL T B, et al. Linear optical controlled-NOT gate in the coincidence basis［J］. Physical Review A, 2002, 65(6): 062324.

[33] HOFMANN H F, TAKEUCHI S. Quantum phase gate for photonic qubits using only beam splitters and postselection［J］. Physical Review A, 2002, 66(2): 024308.

[34] O′BRIEN J L, PRYDE G J, WHITE A G, et al. Demonstration of an all-optical quantum controlled-NOT gate［J］. Nature, 2003, 426(6964): 264-267.

[35] PITTMAN T B, FITCH M J, JACOBS B C, et al. Experimental controlled-NOT logic gate for single photons in the coincidence basis［J］. Physical Review A, 2003, 68(3): 032316.