Abstract
We present a complete deterministic scheme for the multi-electron Greenberger–Horne–Zeilinger (GHZ) state analyzer, resorting to an interface between the polarization of a probe photon and the spin of an electron in a quantum dot embedded in a double-sided optical microcavity. All the multi-spin GHZ states can be completely discriminated by using single-photon detectors and linear optical elements. Our scheme has some features. First, it is a complete GHZ-state analyzer for multi-electron spin systems. Second, the initial entangled states remain after being identified and they can be used for a successive task. Third, the electron qubits are static and the photons play a role of a medium for information transfer, which has a good application in quantum repeater in which the electron qubits are used to store the information and the photon qubits are used to transfer the information between others.
Similar content being viewed by others
References
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Ekert, A., Jozsa, R.: Rev. Mod. Phys. 68, 733 (1996)
Deutsch, D., Josza, R.: Proc. R. Soc. Lond. Ser. A 439, 553 (1992)
Long, G.L., Xiao, L.: J. Chem. Phys. 119, 8473 (2003)
Long, G.L., Xiao, L.: Phys. Rev. A 69, 052303 (2004)
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Nature (London) 390, 575 (1997)
Bose, S., Vedral, V., Knight, P.L.: Phys. Rev. A 57, 822 (1998)
Zukowski, M., Zeilinger, A., Horne, M.A., Ekert, A.: Phys. Rev. Lett. 71, 4287 (1993)
Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)
Liu, X.S., Long, G.L., Tong, D.M., Feng, L.: Phys. Rev. A 65, 022304 (2002)
Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)
Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)
Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Rev. Mod. Phys. 74, 145 (2002)
Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)
Deng, F.G., Long, G.L.: Phys. Rev. A 68, 042315 (2003)
Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 78, 022321 (2008)
Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Phys. Rev. A 69, 052307 (2004)
Yan, F.L., Gao, T.: Phys. Rev. A 72, 012304 (2005)
Zhang, Z.J., Li, Y., Man, Z.X.: Phys. Rev. A 71, 044301 (2005)
Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Phys. Rev. A 72, 044302 (2005)
Gu, B., Mu, L.L., Ding, L.G., Zhang, C.Y., Li, C.Q.: Opt. Commun. 283, 3099 (2010)
Gu, B., Li, C.Q., Xu, F., Chen, Y.L.: Chin. Phys. B 18, 4690 (2009)
Liu, D., Zong, Z.C., Ma, W.: Int. J. Theor. Phys. (2013). doi:10.1007/s10773-013-1500-z
Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Phys. Rev. Lett. 92, 177903 (2004)
Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Rev. A 72, 044301 (2005)
Deng, F.G., et al.: Eur. Phys. J. D 39, 459 (2006)
Li, X.H., et al.: J. Phys. B 39, 1975 (2006)
Man, Z.X., Xia, Y.J., An, N.B.: Eur. Phys. J. D 42, 333 (2007)
Wang, Z.Y., Yuan, H., Shi, S.H., Zhang, Z.J.: Eur. Phys. J. D 41, 371 (2007)
Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4394 (1998)
Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Phys. Rev. A 72, 022338 (2005)
Long, L.R., Li, H.W., Zhou, P., Fan, C., Yin, C.L.: Sci. China, Ser. G, Phys. Mech. Astron. 54, 484 (2011)
Long, G.L., Liu, X.S.: arXiv:quant-ph/0012056 V1 (the first version announced on 13 December 2000 in arXiv:quant-ph/0012056 and it claims clearly that this protocol can be used to transmit secret message directly. Its simplified version is published in Phys. Rev. A 65, 032302 (2002))
Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)
Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)
Wang, C., et al.: Phys. Rev. A 71, 044305 (2005)
Gao, G., Fang, M., Yang, R.M.: Int. J. Theor. Phys. 50, 882 (2011)
Gu, B., Huang, Y.G., Fang, X., Chen, Y.L.: Commun. Theor. Phys. 56, 659 (2011)
Gu, B., Huang, Y.G., Fang, X., Zhang, C.Y.: Chin. Phys. B 20, 100309 (2011)
Gu, B., Zhang, C.Y., Cheng, G.S., Huang, Y.G.: Sci. China, Phys. Mech. Astron. 54, 942 (2011)
Liu, D., Chen, J.L., Jiang, W.: Int. J. Theor. Phys. 51, 2923 (2012)
Sun, Z.W., Du, R.G., Long, D.Y.: Int. J. Theor. Phys. 51, 1946 (2012)
Shi, J., Gong, Y.X., Xu, P., Zhu, S.N., Zhan, Y.B.: Commun. Theor. Phys. 56, 831 (2011)
Bennett, C.H., et al.: Phys. Rev. Lett. 76, 722 (1996)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)
Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 032307 (2010)
Sheng, Y.B., Deng, F.G.: Phys. Rev. A 82, 044305 (2010)
Li, X.H.: Phys. Rev. A 82, 044304 (2010)
Deng, F.G.: Phys. Rev. A 83, 062316 (2011)
Wang, C., Zhang, Y., Jin, G.S.: Quantum Inf. Comput. 11, 0988 (2011)
Wang, C., Zhang, Y., Jin, G.S.: Phys. Rev. A 84, 032307 (2011)
Deng, F.G.: Phys. Rev. A 84, 052312 (2011)
Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 062325 (2008)
Deng, F.G.: Phys. Rev. A 85, 022311 (2012)
Sheng, Y.B., Zhou, L., Zhao, S.M., Zheng, B.Y.: Phys. Rev. A 85, 012307 (2012)
Sheng, Y.B., Zhou, L., Zhao, S.M.: Phys. Rev. A 85, 044305 (2012)
Gu, B.: J. Opt. Soc. Am. B 29, 1685 (2012)
Liu, D., Cong, Y., Ma, W.: Phys. Scr. 86, 045006 (2012)
Zhou, L., Sheng, Y.B., Cheng, W.W., Gong, L.Y., Zhao, S.M.: Quantum Inf. Process. 12, 1307 (2013)
Sheng, Y.B., Zhou, L.: J. Opt. Soc. Am. B 30, 678 (2013)
Zhou, L., Sheng, Y.B., Cheng, W.W., Gong, L.Y., Zhao, S.M.: J. Opt. Soc. Am. B 30, 71 (2013)
Zhou, L., Sheng, Y.B., Zhao, S.M.: Chin. Phys. B 22, 020307 (2013)
Sheng, Y.B., Zhou, L., Wang, L., Zhao, S.M.: Quantum Inf. Process. 12, 1885 (2013)
Wang, T.J., Song, S.Y., Long, G.L.: Phys. Rev. A 85, 062311 (2012)
Greenberger, D.M., Horne, M.A., Shimony, A., Zeilinger, A.: Am. J. Phys. 58, 1131 (1990)
Pan, J.W., Zeilinger, A.: Phys. Rev. A 57, 2208 (1998)
Qian, J., Feng, X.L., Gong, S.Q.: Phys. Rev. A 72, 052308 (2005)
Song, S.Y., Cao, Y., Sheng, Y.B., Long, G.L.: Quantum Inf. Process. 12, 381 (2013)
Qian, J., Qian, Y., Feng, X.L., Yang, T., Gong, S.Q.: Phys. Rev. A 75, 032309 (2007)
Lin, X.M., Chen, Z.H., Lin, G.W., Chen, X.D., Ni, B.B.: Opt. Commun. 282, 3371 (2009)
Loss, D., DiVincenzo, D.P.: Phys. Rev. A 57, 120 (1998)
Imamoglu, A., et al.: Phys. Rev. Lett. 83, 4204 (1999)
Piermarocchi, C., Chen, P., Sham, L.J., Steel, D.G.: Phys. Rev. Lett. 89, 167402 (2002)
Calarco, T., Datta, A., Fedichev, P., Pazy, E., Zoller, P.: Phys. Rev. A 68, 012310 (2003)
Clark, S.M., Fu Kai-Mei, C., Ladd, T.D., Yamamoto, Y.: Phys. Rev. Lett. 99, 040501 (2007)
Lin, Z.R., Guo, G.P., Tu, T., Zhu, F.Y., Guo, G.C.: Phys. Rev. Lett. 101, 230501 (2008)
Hu, C.Y., Young, A., O’Brien, J.L., Rarity, J.G.: Phys. Rev. B 78, 085307 (2008)
Hu, C.Y., Munro, W.J., O’Brien, J.L., Rarity, J.G.: Phys. Rev. B 80, 205326 (2009)
Hu, C.Y., Munro, W.J., Rarity, J.G.: Phys. Rev. B 78, 125318 (2008)
Hu, C.Y., Rarity, J.G.: Phys. Rev. B 83, 115303 (2011)
Yu, T., Zhu, A.D., Zhang, S., Yeon, K.H., Yu, S.C.: Phys. Scr. 84, 025001 (2011)
Wei, H.R., Deng, F.G.: Phys. Rev. A 87, 022305 (2013)
Ren, B.C., Wei, H.R., Deng, F.G.: Laser Phys. Lett. (2013). arXiv:1303.0056
Ren, B.C., Wei, H.R., Hua, M., Li, T., Deng, F.G.: Opt. Express 20, 24664 (2012)
Wang, T.J., Lu, Y., Long, G.L.: Phys. Rev. A 86, 042337 (2012)
Ren, B.C., Wei, H.R., Hua, M., Li, T., Deng, F.G.: Eur. Phys. J. D 67, 30 (2013)
Petta, J.R., et al.: Science 309, 2180 (2005)
Greilich, A., et al.: Science 313, 341 (2006)
Elzerman, J.M., et al.: Nature 430, 431 (2004)
Kroutvar, M., et al.: Nature (London) 432, 81 (2004)
Acknowledgements
This work is supported by the National Natural Science Foundation of China under Grant No. 11174039, NECT-11-0031, and the Fundamental Research Funds for the Central Universities.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wei, HR., Ren, BC., Zhang, M. et al. Complete Deterministic Analyzer for Multi-Electron Greenberger–Horne–Zeilinger States Assisted by Double-Side Optical Microcavities. Int J Theor Phys 52, 4045–4054 (2013). https://doi.org/10.1007/s10773-013-1718-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-013-1718-9