Skip to main content
SpringerLink
Log in

Atomic teleportation via cavity QED and position measurements: Efficiency analysis

  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract.

We have recently presented a novel protocol to teleport an unknown atomic state via cavity QED and position measurements. Here, after a brief review of our scheme, we provide a quantitative study of its efficiency. This is accomplished by an explicit description of the measurement process that allows us to derive the fidelity with respect to the atomic internal state to be teleported.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000)

  • C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993)

    Google Scholar 

  • D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, A. Zeilinger, Nature (London) 390, 575 (1997); D. Boschi, S. Branca, F. De Martini, L. Hardy, S. Popescu, Phys. Rev. Lett. 80, 1121 (1998)

    Google Scholar 

  • M.A. Nielsen, E. Knill, R. Laflamme, Nature (London) 396, 52 (1998)

    Google Scholar 

  • Q. Zhang, A. Goebel, C. Wagenknecht, Y.-A. Chen, B. Zhao, T. Yang, A. Mair, J. Schmiedmayer, Nat. Phys. 2, 678 (2006)

  • J.F. Sherson, H. Krauter, R.K. Olsson, B. Julsgaard, K. Hammerer, I. Cirac, E.S. Polzik, Nature (London) 443, 557 (2006)

    Google Scholar 

  • J.M. Raimond, M. Brune, S. Haroche, Rev. Mod. Phys. 73, 565 (2001)

    Google Scholar 

  • L. Davidovich, N. Zagury, M. Brune, J.M. Raimond, S. Haroche, Phys. Rev. A 50, R895 (1994); J.I. Cirac, A.S. Parkins, Phys. Rev. A 50, R4441 (1994); S.B. Zheng, G.C. Guo, Phys. Lett. A 232, 171 (1997); S.B. Zheng, Opt. Commun. 167, 111 (1999); S. Bose, P.L. Knight, M.B. Plenio, V. Vedral, Phys. Rev. Lett. 83, 5158 (1999); S. Bandyopadhyay, Phys. Rev. A 62, 012308 (2000)

  • L. Vaidman, Phys. Rev. A 49, 1473 (1994)

    Google Scholar 

  • N.G. de Almeida, R. Napolitano, M.H.Y. Moussa, Phys. Rev. A 62, 010101 (2000)

    Google Scholar 

  • S.-B. Zheng, Phys. Rev. A 69, 064302 (2004)

    Google Scholar 

  • L. Ye, G.-C. Guo, Phys. Rev. A 70, 054303 (2004); R.W. Chhajlany, A. Wójcik, Phys. Rev. A 73, 016302 (2006); L. Ye, G.-C. Guo, Phys. Rev. A 73, 016303 (2004)

    Google Scholar 

  • W.B. Cardoso, A.T. Avelar, B. Baseia, N.G. de Almeida, Phys. Rev. A 72, 045802 (2005)

    Google Scholar 

  • M. Tumminello, F. Ciccarello, Phys. Rev. A (2007) [arXiv:0706.0173v1] (to appear)

  • A. Vaglica, Phys. Rev. A 58, 3856 (1998); I. Cusumano, A. Vaglica, G. Vetri, Phys. Rev. A 66, 043408 (2002)

  • M. Tumminello, A. Vaglica, G. Vetri, Europhys. Lett. 65, 785 (2004)

    Google Scholar 

  • T. Sleator, T. Pfau, V. Balykin, O. Carnal, J. Mlynek, Phys. Rev. Lett. 68, 1996 (1992); C. Tanguy, S. Reynaud, C. Cohen-Tannoudji, J. Phys. B 17, 4623 (1984); M. Freyberger, A.M. Herkommer, Phys. Rev. Lett. 72, 1952 (1994); A. Vaglica, Phys. Rev. A 54, 3195 (1996)

    Google Scholar 

  • R.R. Schlicher, Opt. Comm. 70, 97 (1989)

    Google Scholar 

  • M. Wilkens, Z. Bialynicka-Birula, P. Meystre, Phys. Rev. A 45, 477 (1992)

    Google Scholar 

  • For the benefit of the reader, in this paper we restrict to the nodal approximation of the Hamiltonian since the mathematics in the antinodal case is a bit more involved TC, epjd. Nonetheless, we point out that both the teleportation scheme TC and the efficiency analysis presented in this work hold in the antinodal case as well

  • M. Tumminello, A. Vaglica, G. Vetri, Europhys. Lett. 66, 792 (2004)

    Google Scholar 

  • M. Tumminello, A. Vaglica, G. Vetri, Eur. Phys. J. D 36, 235 (2005)

    Google Scholar 

  • A. Vaglica, Phys. Rev. A 52, 2319 (1995)

    Google Scholar 

  • Similarly to the seminal proposal by Bennett et al. bennett, in such cases teleportation is completed after that a 180 degree rotation around the z-axis in the internal Hilbert space of atom 1 is performed

  • The considered range for each xi is such that for ετ<10 the probability to find each atom in the interval [-3σx,3σx] is still significant

  • S. Kuhr et al., Appl. Phys. Lett. 90, 164101 (2007)

  • Actually, this is an overestimated value since a look at Fig. 1 shows how even at shorter strengths of ετ, such as ετ=5, there is not so a narrow range of position-measurement outcomes that ensure successful teleportation

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica e Tecnologie Relative, Università di Palermo, Viale delle Scienze, Edificio 18, 90128, Palermo, Italy

    M. Tumminello & F. Ciccarello

  2. Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM), 73040, Lecce, Italy

    F. Ciccarello

  3. NEST-INFM (CNR) & Dipartimento di Scienze Fisiche ed Astronomiche, Università degli Studi di Palermo, via Archirafi 36, 90123, Palermo, Italy

    F. Ciccarello

Authors
  1. M. Tumminello
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Ciccarello
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Tumminello.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tumminello, M., Ciccarello, F. Atomic teleportation via cavity QED and position measurements: Efficiency analysis. Eur. Phys. J. Spec. Top. 160, 411–419 (2008). https://doi.org/10.1140/epjst/e2008-00744-5

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2008-00744-5

Keywords

Search

Navigation