Abstract
A scheme for the preparation of four-ion entangled cluster states has been proposed. Two two-level ions are confined in a linear trap and are simultaneously driven with a laser beam. In the Lamb-Dicke regime, we can get the effective Hamiltonian in the interaction picture.The effective Hamiltonian may be used to describe a realistic physical system. The scheme is insensitive to both the initial vibrational state and heating.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wooters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)
Shan, C.J., Liu, J.B., Liu, T.K., Huang, Y.X., Li, H.: Int. J. Theor. Phys. 48, 1516 (2009)
Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 1895 (1998)
Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)
Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)
Deng, F.G., Li, X.H., Li, C.Y., Zhou, H.Y., Wang, Y.: Phys. Rev. A 72, 044301 (2005)
Zheng, S.B., Guo, G.C.: Phys. Rev. Lett. 85, 2392 (2000)
Shan, C.J., Xia, Y.J.: Acta Phys. Sin. 55, 1585 (2006)
Wang, X.G.: Phys. Rev. A 64, 012313 (2001)
Yu, T., Eberly, J.H.: Phys. Rev. Lett. 97, 140403 (2006)
Wang, X.W., Yang, G.J.: Phys. Rev. A 78, 024301 (2008)
Briegel, H.J., Raussendorf, R.: Phys. Rev. Lett. 86, 910 (2001)
Nielsen, M.A.: Phys. Rev. Lett. 93, 040503 (2004)
Wang, X.W., Yang, G.J.: Opt. Commun. 281, 5282 (2008)
Cho, J., Lee, H.W.: Phys. Rev. Lett. 95, 160501 (2005)
Zheng, S.B.: Phys. Rev. A 70, 045804 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xu, J. Preparation of the Cluster States in a Linear Trap Systems. Int J Theor Phys 57, 3369–3372 (2018). https://doi.org/10.1007/s10773-018-3849-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-018-3849-5