×
Sheng, Yu-Bo; Qu, Chang-Cheng; Ou-Yang, Yang; Feng, Zhao-Feng; Zhou, Lan

Practical entanglement concentration for entangled coherent states. (English) Zbl 1298.81024

Int. J. Theor. Phys. 53, No. 6, 2033-2040 (2014).
Summary: Entangled coherent state (ECS) is quite important in current quantum communication and quantum computation. In this paper, we discuss two practical entanglement concentration protocols (ECPs) to recover the maximally ECSs from the partially ECSs. In the first ECP, the parties do not need to know the initial coefficients of the partially ECSs. In the second ECP, they should know the initial coefficients. Both protocols are based on the linear optics which make them feasible in current experiment. Especially, in the second ECP, they only require one pair of initial partially ECSs, which makes this ECP optimal. Both ECPs may be useful in current quantum information processing.

Cited in 5 Documents

MSC:

81P40 Quantum coherence, entanglement, quantum correlations
81R30 Coherent states

Keywords:

quantum communication; entangled coherent state; entanglement concentration
Cite Review PDF
Full Text: DOI

References:

[1] Bennett, C. H.; Brassard, G.; Crepeau, C.; Jozsa, R.; Peres, A.; Wootters, W. K., No article title, Phys. Rev. Lett., 70, 1895-1899 (1993) · Zbl 1051.81505 · doi:10.1103/PhysRevLett.70.1895
[2] Ekert, A. K., No article title, Phys. Rev. Lett., 67, 661-663 (1991) · Zbl 0990.94509 · doi:10.1103/PhysRevLett.67.661
[3] Wang, C.; Wang, W. Y.; Ai, Q.; Long, G. L., No article title, Commun. Theor. Phys., 53, 67-70 (2010) · Zbl 1220.81070 · doi:10.1088/0253-6102/53/1/15
[4] Hillery, M.; Bužek, V.; Berthiaume, A., No article title, Phys. Rev. A, 59, 1829-1834 (1999) · Zbl 1368.81066 · doi:10.1103/PhysRevA.59.1829
[5] Karlsson, A.; Koashi, M.; Imoto, N., No article title, Phys. Rev. A, 59, 162-168 (1999) · doi:10.1103/PhysRevA.59.162
[6] Xiao, L.; Long, G.-L.; Deng, F.-G.; Pan, J.-W., No article title, Phys. Rev. A, 69 (2004) · doi:10.1103/PhysRevA.69.052307
[7] Song, S. Y.; Wang, C., No article title, Chin. Sci. Bull., 57, 4694-4700 (2012) · doi:10.1007/s11434-012-5600-6
[8] Dugić, M.; Arsenijević, M.; Dugić, J. J., No article title, Sci. China, Ser. G, Phys. Mech. Astron., 56, 732-736 (2013) · doi:10.1007/s11433-012-4912-5
[9] Man, Z. X.; Su, F.; Jie, Y. J., No article title, Chin. Sci. Bull., 58, 2423-2429 (2013) · doi:10.1007/s11434-013-5898-8
[10] Cao, Y.; Liu, H.; Long, G. L., No article title, Chin. Sci. Bull., 58, 48-52 (2013) · doi:10.1007/s11434-012-5604-2
[11] Ye, M. Y.; Lin, X. M.; Bai, Y. K.; Wang, Z. D., No article title, Sci. China, Ser. G, Phys. Mech. Astron., 55, 666-670 (2012) · doi:10.1007/s11433-012-4675-z
[12] Knill, E.; Laflamme, R.; Milburn, G. J., No article title, Nature, 409, 46-52 (2001) · doi:10.1038/35051009
[13] Nielsen, M. A., No article title, Phys. Rev. Lett., 93 (2004) · doi:10.1103/PhysRevLett.93.040503
[14] Long, G. L.; Xiao, L., No article title, Phys. Rev. A, 69 (2004) · doi:10.1103/PhysRevA.69.052303
[15] Feng, G.; Xu, G.; Long, G., No article title, Phys. Rev. Lett., 110 (2013) · doi:10.1103/PhysRevLett.110.190501
[16] Ren, B. C.; Wei, H. R.; Deng, F. G., No article title, Laser Phys. Lett., 10 (2013) · doi:10.1088/1612-2011/10/9/095202
[17] Wei, H. R.; Deng, F. G., No article title, Phys. Rev. A, 87 (2013) · doi:10.1103/PhysRevA.87.022305
[18] Wei, H. R.; Deng, F. G., No article title, Phys. Rev. A, 88 (2013) · doi:10.1103/PhysRevA.88.042323
[19] Wei, H. R.; Deng, F. G., No article title, Opt. Express, 21, 17671-17685 (2013) · doi:10.1364/OE.21.017671
[20] Bennett, C. H.; Bernstein, H. J.; Popescu, S.; Schumacher, B., No article title, Phys. Rev. A, 53, 2046-2052 (1996) · doi:10.1103/PhysRevA.53.2046
[21] Bose, S.; Vedral, V.; Knight, P. L., No article title, Phys. Rev. A, 60, 194-197 (1999) · doi:10.1103/PhysRevA.60.194
[22] Shi, B. S.; Jiang, Y. K.; Guo, G. C., No article title, Phys. Rev. A, 62 (2000) · doi:10.1103/PhysRevA.62.054301
[23] Zhao, Z.; Pan, J. W.; Zhan, M. S., No article title, Phys. Rev. A, 64 (2001) · doi:10.1103/PhysRevA.64.014301
[24] Yamamoto, T.; Koashi, M.; Imoto, N., No article title, Phys. Rev. A, 64 (2001) · doi:10.1103/PhysRevA.64.012304
[25] Sheng, Y. B.; Deng, F. G.; Zhou, H. Y., No article title, Phys. Rev. A, 77 (2008) · doi:10.1103/PhysRevA.77.062325
[26] Sheng, Y. B.; Zhou, L.; Zhao, S. M.; Zheng, B. Y., No article title, Phys. Rev. A, 85 (2012) · doi:10.1103/PhysRevA.85.012307
[27] Deng, F. G., No article title, Phys. Rev. A, 85 (2012) · doi:10.1103/PhysRevA.85.022311
[28] Xiong, W.; Ye, L., No article title, J. Opt. Soc. Am. B, 28, 2030-2037 (2011) · doi:10.1364/JOSAB.28.002030
[29] Sheng, Y. B.; Liu, J.; Zhao, S. Y.; Zhou, L., No article title, Chin. Sci. Bull., 57, 4694-4700 (2013) · doi:10.1007/s11434-012-5600-6
[30] Sheng, Y. B.; Zhou, L.; Zhao, S. M., No article title, Phys. Rev. A, 85 (2012) · doi:10.1103/PhysRevA.85.042302
[31] Zhou, L.; Sheng, Y. B.; Cheng, W. W.; Gong, L. Y.; Zhao, S. M., No article title, J. Opt. Soc. Am. B, 30, 71-78 (2013) · doi:10.1364/JOSAB.30.000071
[32] Sheng, Y. B.; Deng, F. G.; Zhou, H. Y., No article title, Phys. Lett. A, 373, 1823-1825 (2009) · Zbl 1229.81035 · doi:10.1016/j.physleta.2009.03.051
[33] Zhou, L., No article title, Quantum Inf. Process., 12, 2087-2101 (2013) · Zbl 1267.81085 · doi:10.1007/s11128-012-0511-7
[34] Wang, C.; Zhang, Y.; Jin, G. S., No article title, Phys. Rev. A, 84 (2011) · doi:10.1103/PhysRevA.84.032307
[35] Wang, C., No article title, Phys. Rev. A, 86 (2012) · doi:10.1103/PhysRevA.86.012323
[36] Sheng, Y. B.; Zhou, L., No article title, J. Opt. Soc. Am. B, 30, 678-686 (2013) · doi:10.1364/JOSAB.30.000678
[37] Sheng, Y. B.; Zhou, L.; Wang, L.; Zhao, S. M., No article title, Quantum Inf. Process., 12, 1885-1895 (2013) · Zbl 1271.81029 · doi:10.1007/s11128-012-0502-8
[38] Sheng, Y. B.; Deng, F. G.; Zhou, H. Y., No article title, Quantum Inf. Comput., 10, 272-281 (2010) · Zbl 1234.81045
[39] He, L. Y.; Cao, C.; Wang, C., No article title, Opt. Commun., 298, 260-266 (2013) · doi:10.1016/j.optcom.2013.02.031
[40] Yang, M.; Zhao, Y.; Song, W.; Cao, Z. L., No article title, Phys. Rev. A, 71 (2005) · Zbl 1227.81060 · doi:10.1103/PhysRevA.71.044302
[41] Cao, C.; He, L. Y.; Wang, C.; Zhang, R., No article title, Opt. Express, 21, 4093-4105 (2013) · doi:10.1364/OE.21.004093
[42] Peng, Z. H.; Zou, J.; Liu, X. J.; Xiao, Y. J.; Kuang, L. M., No article title, Phys. Rev. A, 86 (2012) · doi:10.1103/PhysRevA.86.034305
[43] Zhou, L.; Sheng, Y. B.; Cheng, W. W.; Yan, G. L.; Zhao, S. M., No article title, Quantum Inf. Process., 12, 1307-1320 (2013) · Zbl 1264.81064 · doi:10.1007/s11128-012-0472-x
[44] Wang, H. F.; Zhang, S.; Yeon, K. H., No article title, J. Opt. Soc. Am. B, 27, 2159-2164 (2010) · doi:10.1364/JOSAB.27.002159
[45] Wang, H. F.; Sun, L. L.; Zhang, S.; Yeon, K. H., No article title, Quantum Inf. Process., 11, 431-441 (2012) · Zbl 1239.81029 · doi:10.1007/s11128-011-0255-9
[46] Gu, B., No article title, J. Opt. Soc. Am. B, 7, 1685-1689 (2012) · doi:10.1364/JOSAB.29.001685
[47] Sheng, Y. B.; Zhou, L., No article title, Entropy, 15, 1776-1820 (2013) · Zbl 1297.81039 · doi:10.3390/e15051776
[48] Ren, B. C.; Du, F. F.; Deng, F. G., No article title, Phys. Rev. A, 88 (2013) · doi:10.1103/PhysRevA.88.012302
[49] Wang, T. J.; Long, G. L., No article title, J. Opt. Soc. Am. B, 30, 1069-1076 (2013) · doi:10.1364/JOSAB.30.001069
[50] Gu, B.; Quan, D. H.; Xiao, S. R., No article title, Int. J. Theor. Phys., 51, 2966-2973 (2013) · Zbl 1261.81040 · doi:10.1007/s10773-012-1178-7
[51] Ren, B. C.; Deng, F. G., No article title, Laser Phys. Lett., 10 (2013) · doi:10.1088/1612-2011/10/11/115201
[52] Liu, D.; Cong, Y.; Ma, W., No article title, Phys. Scr., 86 (2012) · Zbl 1263.81041 · doi:10.1088/0031-8949/86/04/045006
[53] Sanders, B. C., No article title, J. Phys. A, 45 (2012) · Zbl 1248.81084 · doi:10.1088/1751-8113/45/24/244002
[54] Sanders, B. C., No article title, Phys. Rev. A, 45, 6811-6815 (1992) · doi:10.1103/PhysRevA.45.6811
[55] Enk, S. J.; Hirota, O., No article title, Phys. Rev. A, 64 (2001) · doi:10.1103/PhysRevA.64.022313
[56] Wang, X., No article title, Phys. Rev. A, 64 (2001) · doi:10.1103/PhysRevA.64.022302
[57] An, N. B., No article title, Phys. Rev. A, 68 (2003) · doi:10.1103/PhysRevA.68.022321
[58] Prakash, H.; Chandra, N.; Prakash, R.; Shivani, No article title, Phys. Rev. A, 75 (2007) · doi:10.1103/PhysRevA.75.044305
[59] Jeong, H.; Kim, M. S., No article title, Quantum Inf. Comput., 2, 208-221 (2002) · Zbl 1187.81036
[60] Jeong, H.; Kim, M. S., No article title, Phys. Rev. A, 65 (2002) · doi:10.1103/PhysRevA.65.042305
[61] Sangouard, N.; Simon, C.; Gisin, N.; Laurat, J.; Brouri, R. T.; Grangier, P., No article title, J. Opt. Soc. Am. B, 27, 137-145 (2010) · doi:10.1364/JOSAB.27.00A137
[62] Vasconcelos, H. M.; Ralph, T. C., No article title, Phys. Rev. A, 70 (2004) · doi:10.1103/PhysRevA.70.022317
[63] An, N. B., No article title, Phys. Rev. A, 69 (2004) · doi:10.1103/PhysRevA.69.022315
[64] An, N. B., No article title, Opt. Commun., 283, 4113-4117 (2010) · doi:10.1016/j.optcom.2010.06.016
[65] Tipsmark, A.; Dong, R.; Laghaout, A.; Marek, P.; Ježke, M.; Andersen, U. L., No article title, Phys. Rev. A, 84 (2011) · doi:10.1103/PhysRevA.84.050301
[66] Prakash, H.; Mishra, M. K., No article title, J. Opt. Soc. Am. B, 29, 2915-2923 (2012) · doi:10.1364/JOSAB.29.002915
[67] Lin, Q.; He, B.; Bergou, J. A.; Ren, Y. H., No article title, Phys. Rev. A, 80 (2009) · doi:10.1103/PhysRevA.80.042311
[68] He, B.; Ren, Y. H.; Bergou, J. A., No article title, Phys. Rev. A, 79 (2009) · doi:10.1103/PhysRevA.79.052323
[69] Sheng, Y. B.; Zhou, L.; Long, G. L., No article title, Phys. Rev. A, 88 (2013) · doi:10.1103/PhysRevA.88.022302
[70] Wang, X.; Sanders, B. C., No article title, Phys. Rev. A, 65 (2001) · doi:10.1103/PhysRevA.65.012303
[71] Jeong, H.; Kim, M. S.; Ralph, T. C.; Ham, B. S., No article title, Phys. Rev. A, 70 (2004) · doi:10.1103/PhysRevA.70.061801
[72] Jeong, H.; Lund, A. P.; Ralph, T. C., No article title, Phys. Rev. A, 72 (2005)
[73] Ourjoumtsev, A.; Brouri, R. T.; Laurat, J.; Granqier, P., No article title, Science, 312, 83-86 (2006) · doi:10.1126/science.1122858
[74] Ourjoumtsev, A.; Jeong, H.; Brouri, R. T.; Grangier, P., No article title, Nature, 448, 784-786 (2007) · doi:10.1038/nature06054
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.