Abstract
An improved purification of the triplet Greenberger-Horne-Zeilinger (GHZ) state is demonstrated for the electron-spin-entangled state in the quantum-dot (QD) and micro-cavity coupled systems. In order to distill the maximally entangled GHZ state efficiently, we designate a deterministic entanglement purification protocol (EPP) by using a pair of the triplet-electron-spin-entangled systems. It is based on the elegant parity-check operations performed in the cavity-spin-coupling system with the assistance of an ancillary single photon. With the current and feasible technology, the maximally entangled GHZ states can be achieved as much as flexible for the long-distance quantum communications since only single-photon detection and single-electron detection are required in practice.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Guo, Y., Lee, M.H., Zeng, G.: Quantum Inf. Process. 12(4), 1659 (2013)
Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S., Sanpera, A.: Phys. Rev. Lett. 77, 2818 (1996)
Pan, J.W., Simon, C., Zellinger, A.: Nature (London) 410, 1067 (2001)
Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)
Li, X.H.: Phys. Rev. A 82, 044304 (2010)
Deng, F.G.: Phys. Rev. A 83, 062316 (2011)
Deng, F.G.: Phys. Rev. A 84, 052312 (2011)
Feng, X.L., Kwek, L.C., Oh, C.H.: Phys. Rev. A 71, 064301 (2005)
Beenakker, C.W.J., Divincenzo, D.P., Emary, C., Kindermann, M.: Phys. Rev. Lett. 93, 020501 (2004)
Waks, E., Vuckovic, J.: Phys. Rev. Lett. 96, 153601 (2006)
Bonato, C., Haupt, F., Oemrawsingh, S.S.R., Gudat, J., Ding, D., van Exter, M.P., Bouwmeester, D.: Phys. Rev. Lett. 104, 160503 (2010)
Hu, C.Y., Rarity, J.G.: Phys. Rev. B 83, 115303 (2011)
Wang, C., Zhang, Y., Jin, G.S.: Phys. Rev. A 84, 032307 (2011)
Young, A.B., Oulton, R., Hu, C.Y., et al.: Phys. Rev. A 84, 011803(R) (2011)
Bonato, C., Haupt, F., Oemrawsingh, S.S.R., Gudat, J., Ding, D., van Exter, M.P., Bouwmeester, D.: Phys. Rev. Lett. 104, 160503 (2010)
Wang, C., Zhang, Y., Jin, G.-S.: Phys. Rev. A 84, 032307 (2011)
Xu, X., Yao, W., Sun, B., Steel, D.G., Bracker, A.S., Gammon, D., Sham, L.J.: Nature (London) 459, 1105 (2009)
Gallardo, E., Martinez, L.J., Nowak, A.K., Sarkar, D., Medlen, H.P., Calleja, J.M., Tejedor, C., Prieto, I., Granados, D., Taboada, A.G., Garcia, J.M., Postigo, P.A.: Phys. Rev. B 81, 193301 (2010)
Reithmaier, J.P., Sek, G., Hofmann, C., Kuhn, S., Reitzenstein, S., Keldysh, L.V., Kulakovskii, V.D., Reinecke, T.L., Forchel, A.: Nature (London) 432, 197 (2004)
Birkedal, D., Leosson, K., Hvam, J.M.: Phys. Rev. Lett. 87, 227401 (2001)
Berezovsky, J., Mikkelsen, M.H., Stoltz, N.G., Coldren, L.A., Awschalom, D.D.: Science 320, 349 (2008)
Faraon, A., Majumdar, A., Kim, H., Petroff, P., Vuckovic, J.: Phys. Rev. Lett. 104, 047402 (2010)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (61272495, 61379153), the New Century Excellent Talents in University, China (NCET-11-0510), and partly by China Postdoctoral Science Foundation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, Y.J., Fu, J., Guo, Y. et al. Deterministic Entanglement Purification of the Greenberger-Horne-Zeilinger States in Quantum-Dot and Micro-cavity Coupled System. Int J Theor Phys 53, 2304–2311 (2014). https://doi.org/10.1007/s10773-014-2030-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2030-z