Skip to main content
Log in

Controlled teleportation via photonic Faraday rotations in low-Q cavities

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

This paper presents feasible experimental schemes to realize controlled teleportation protocols via photonic Faraday rotations in low-Q cavities. The schemes deal with controlled teleportation of superposition states and two-particle entanglement of atomic states. The information is encoded in lambda configured three-level atoms trapped inside coupled cavities by optical fibers. Also, we estimate the success probability and the current feasibility of the schemes.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen Channels. Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Boschi, D., Branca, S., De Martini, F., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen Channels. Phys. Rev. Lett. 80, 1121 (1998)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Bouwmeester D., Pan J.-W., Mattle K., Eibl M., Weinfurter H., Zeilinger A.: Experimental quantum teleportation. Nature 390, 575 (1997)

    Article  ADS  MATH  Google Scholar 

  4. Furusawa A., Srensen J.L., Braunstein S.L., Fuchs C.A., Kimble H.J., Polzik E.S.: Unconditional quantum teleportation. Science 282, 706 (1998)

    Article  ADS  Google Scholar 

  5. Lombardi, E., Sciarrino, F., Popescu, S., De Martini, F.: Teleportation of a Vacuum–One-Photon Qubit. Phys. Rev. Lett. 88, 070402 (2002)

    Article  ADS  Google Scholar 

  6. de Riedmatten H., Marcikic I., Tittel W., Zbinden H., Collins D., Gisin N.: Long distance quantum teleportation in a quantum relay configuration. Phys. Rev. Lett. 92, 047904 (2004)

    Article  ADS  MATH  Google Scholar 

  7. Huang Y.-F., Ren X.-F., Zhang Y.-S., Duan L.-M., Guo G.-C.: Experimental teleportation of a quantum controlled-NOT gate. Phys. Rev. Lett. 93, 240501 (2004)

    Article  ADS  Google Scholar 

  8. Barrett M.D., Chiaverini J., Schaetz T., Britton J., Itano W.M., Jost J.D., Knill E., Langer C., Leibfried D., Ozeri R., Wineland D.J.: Deterministic quantum teleportation of atomic qubits. Nature 429, 737 (2004)

    Article  ADS  MATH  Google Scholar 

  9. Riebe M., Haffner H., Roos C.F., Hansel W., Benhelm J., Lancaster G.P.T., Korber T.W., Becher C., Schmidt-Kaler F., James D.F.V., Blatt R.: Deterministic quantum teleportation with atoms. Nature 429, 734 (2004)

    Article  ADS  Google Scholar 

  10. Davidovich L., Zagury N., Brune M., Raimond J.M., Haroche S.: Teleportation of an atomic state between two cavities using nonlocal microwave fields. Phys. Rev. A 50, R895 (1994)

    Article  ADS  Google Scholar 

  11. Cirac J.I., Parkins A.S.: Schemes for atomic-state teleportation. Phys. Rev. A 50, R4441 (1994)

    Article  ADS  Google Scholar 

  12. de Almeida N.G., Napolitano R., Moussa M.H.Y.: Accuracy of a teleported cavity-field state. Phys. Rev. A 62, 010101 (2000)

    Article  Google Scholar 

  13. Pires G., de Almeida N.G., Avelar A.T., Baseia B.: Teleporting entanglements of cavity-field states. Phys. Rev. A 70, 025803 (2004)

    Article  ADS  Google Scholar 

  14. dSouza A.D., Cardoso W.B., Avelar A.T., Baseia B.: A note on approximate teleportation of an unknown atomic state in the two-photon Jaynes Cummings model. Physica A 388, 1331 (2009)

    Article  ADS  MATH  Google Scholar 

  15. Bose S., Knight P.L., Plenio M.B., Vedral V.: Proposal for teleportation of an atomic state via cavity decay. Phys. Rev. Lett. 83, 5158 (1999)

    Article  ADS  Google Scholar 

  16. Yu B., Zhou Z.-W., Zhang Y., Xiang G.-Y., Guo G.-C.: Robust high-fidelity teleportation of an atomic state through the detection of cavity decay. Phys. Rev. A 70, 014302 (2004)

    Article  ADS  Google Scholar 

  17. Cho J., Lee H.-W.: Quantum teleportation with atoms trapped in cavities. Phys. Rev. A 70, 34305 (2004)

    Article  ADS  Google Scholar 

  18. Chimczak G., Tanaś R.: Improving fidelity in atomic state teleportation via cavity decay. Phys. Rev. A 75, 22317 (2007)

    Article  ADS  Google Scholar 

  19. Chen J.-J., An J.-H., Feng M., Liu G.: Teleportation of an arbitrary multipartite state via photonic Faraday rotation. J. Phys. B: At. Mol. Opt. Phys. 43, 095505 (2010)

    Article  ADS  Google Scholar 

  20. Chen J.-J., An J.-H.: Quantum teleportation via photonic Faraday rotation. Int. J. Quantum Inf. 8, 787 (2010)

    Article  MATH  Google Scholar 

  21. Zhang C.-B., Dong D.-Y., Chen Z.-H.: J. Opt. B: Control of non-controllable quantum systems: a quantum control algorithm based on Grover iteration. Quantum Semiclass. Opt. 7, S313 (2005)

    Article  Google Scholar 

  22. Pires G., Avelar A.T., Baseia B., de Almeida N.G.: Teleporting a state inside a single bimodal high-Q cavity. Phys. Rev. A 71, 060301 (2005)

    Article  ADS  Google Scholar 

  23. de Queirós I.P., Souza S., Cardoso W.B., de Almeida N.G.: Accuracy of a teleported trapped field state inside a single bimodal cavity. Phys. Rev. A 76, 034101 (2007)

    Article  ADS  Google Scholar 

  24. Zheng S.B.: Scheme for approximate conditional teleportation of an unknown atomic state without the Bell-state measurement. Phys. Rev. A 69, 064302 (2004)

    Article  ADS  Google Scholar 

  25. Cardoso W.B., Avelar A.T., Baseia B., de Almeida N.G.: Teleportation of entangled states without Bell-state measurement. Phys. Rev. A 72, 045802 (2005)

    Article  ADS  Google Scholar 

  26. Cardoso W.B.: Teleportation of GHZ-states in QED-cavities without the explicit Bell-state measurement. Int. J. Theor. Phys. 47, 977 (2008)

    Article  MATH  Google Scholar 

  27. dSouza A.D., Cardoso W.B., Avelar A.T., Baseia B.: Teleportation of entangled states without Bell-state measurement via a two-photon process. Opt. Commun. 284, 1086 (2011)

    Article  ADS  Google Scholar 

  28. Cardoso W.B., Avelar A.T., Baseia B.: Comment on ‘Faithful teleportation of an unknown atomic state and a cavity field entangled state without Bell-state measurement’. J. Phys. B 40, 1089 (2007)

    Article  ADS  Google Scholar 

  29. Walborn S.P., Ether D.S., de Matos Filho R.L., Zagury N.: Quantum teleportation of the angular spectrum of a single-photon field. Phys. Rev. A 76, 033801 (2007)

    Article  ADS  Google Scholar 

  30. Popescu S.: Bell’s inequalities versus teleportation: what is nonlocality?. Phys. Rev. Lett. 72, 797 (1994)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. Zheng S.B.: Teleportation of quantum states through mixed entangled pairs. Chin. Phys. Lett. 23, 2356 (2006)

    Article  ADS  Google Scholar 

  32. Bandyopadhyay S., Sanders B.C.: Quantum teleportation of composite systems via mixed entangled states. Phys. Rev. A 74, 32310 (2006)

    Article  ADS  Google Scholar 

  33. Vaidman L.: Teleportation of quantum states. Phys. Rev. A 49, 1473 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  34. Moussa M.H.Y.: Teleportation with identity interchange of quantum states. Phys. Rev. A 55, R3287 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  35. de Almeida N.G., Maia L.P., Villas-Bôas C.J., Moussa M.H.Y.: One-cavity scheme for atomic-state teleportation through GHZ states. Phys. Lett. A 241, 213 (1998)

    Article  ADS  Google Scholar 

  36. Agrawal P., Pati A.: Perfect teleportation and superdense coding with W states. Phys. Rev. A 74, 62320 (2006)

    Article  ADS  Google Scholar 

  37. Becerra-Castro E.M., Cardoso W.B., Avelar A.T., Baseia B.: Generation of W atomic states assisted by cavities. J. Phys. B 41, 215505 (2008)

    Article  ADS  Google Scholar 

  38. Becerra-Castro E.M., Cardoso W.B., Avelar A.T., Baseia B.: Generation of a 4-qubit cluster of entangled coherent states in bimodal QED cavities. J. Phys. B 41, 085505 (2008)

    Article  ADS  Google Scholar 

  39. Chhajlany R.W., Wjcik A.: Comment on “scheme for teleportation of an unknown atomic state without the Bell-state measurement”. Phys. Rev. A 73, 016302 (2006)

    Article  ADS  Google Scholar 

  40. Karlsson A., Bourennane M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  41. Yang C.-P., Chu S.-I., Han S.: Efficient many-party controlled teleportation of multiqubit quantum information via entanglement. Phys. Rev. A 70, 022329 (2004)

    Article  ADS  Google Scholar 

  42. Pirandola S., Mancini S., Vitali D.: Conditioning two-party quantum teleportation within a three-party quantum channel. Phys. Rev. A 71, 42326 (2004)

    Article  Google Scholar 

  43. Zhang Z.-J., Man Z.-X.: Many-agent controlled teleportation of multi-qubit quantum information. Phys. Lett. A 341, 55 (2005)

    Article  ADS  MATH  Google Scholar 

  44. Deng F.-G., Li C.-Y., Li Y.-S., Zhou H.-Y., Wang Y.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72, 22338 (2005)

    Article  ADS  Google Scholar 

  45. Man Z.-X., Xia Y.-J., An N.B.: Economical and feasible controlled teleportation of an arbitrary unknown N-qubit entangled state. J. Phys. B: At. Mol. Opt. Phys. 40, 1767 (2007)

    Article  ADS  Google Scholar 

  46. Hillery M., Buzek V., Berthiaume A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  47. Tittel W., Zbinden H., Gisin N.: Experimental demonstration of quantum secret sharing. Phys. Rev. A 63, 42301 (2001)

    Article  ADS  Google Scholar 

  48. Schmid C., Trojek P., Bourennane M., Kurtsiefer C., Zukowski M., Weinfurter H.: Experimental single qubit quantum secret sharing. Phys. Rev. Lett. 95, 230505 (2005)

    Article  ADS  Google Scholar 

  49. Chen Y.-A., Zhang A.-N., Zhao Z., Zhou X.-Q., Lu C.-Y., Peng C.-Z., Yang T., Pan J.-W.: Experimental quantum secret sharing and third-man quantum cryptography. Phys. Rev. Lett. 95, 200502 (2005)

    Article  ADS  Google Scholar 

  50. Gaertner S., Kurtsiefer C., Bourennane M., Weinfurter H.: Experimental demonstration of four-party quantum secret sharing. Phys. Rev. Lett. 98, 20503 (2007)

    Article  ADS  Google Scholar 

  51. Karlsson A., Koashi M., Imoto N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162 (1999)

    Article  ADS  Google Scholar 

  52. Cleve R., Gottesman D., Lo H.: How to share a quantum secret. Phys. Rev. Lett. 83, 648 (1999)

    Article  ADS  Google Scholar 

  53. Bandyopadhyay S.: Teleportation and secret sharing with pure entangled states. Phys. Rev. A 62, 12308 (2000)

    Article  ADS  Google Scholar 

  54. Scarani V., Gisin N.: Quantum key distribution between N partners: optimal eavesdropping and Bell’s inequalities. Phys. Rev. A 65, 12311 (2001)

    Article  Google Scholar 

  55. Hsu L.-Y.: Quantum secret-sharing protocol based on Grover’s algorithm. Phys. Rev. A 68, 22306 (2003)

    Article  ADS  Google Scholar 

  56. Xiao L., Long G.L., Deng F.-G., Pan J.-W.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 52307 (2004)

    Article  ADS  Google Scholar 

  57. Deng F.-G., Li X.-H., Zhou H.-Y., Zhang Z.-j.: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys. Rev. A 72, 44302 (2005)

    Article  ADS  Google Scholar 

  58. Singh S.K.: Generalized quantum secret sharing. Phys. Rev. A 71, 12328 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  59. Ogawa T., Sasaki A., Iwamoto M., Yamamoto H.: Quantum secret sharing schemes and reversibility of quantum operations. Phys. Rev. A 72, 32318 (2005)

    Article  ADS  Google Scholar 

  60. Lee H., Lim J., Yang H.-J.: Quantum direct communication with authentication. Phys. Rev. A 73, 42305 (2006)

    Article  ADS  Google Scholar 

  61. Cheung C.-Y.: Controlled quantum secret sharing. Phys. Scr. 74, 459 (2006)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  62. Filip R.: Quantum partial teleportation as optimal cloning at a distance. Phys. Rev. A 69, 52301 (2004)

    Article  ADS  Google Scholar 

  63. Bruβ D.: Entanglement splitting of pure bipartite quantum states. Phys. Rev. A 60, 4344 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  64. Zhang J., Xie C., Peng K.: Continuous-variable quantum state transfer with partially disembodied transport. Phys. Rev. Lett. 95, 170501 (2005)

    Article  ADS  Google Scholar 

  65. Mišta L. Jr, Filip R.: Optimal partial deterministic quantum teleportation of qubits. Phys. Rev. A 71, 22319 (2005)

    Article  ADS  Google Scholar 

  66. Zhao Z., Zhang A.-N., Zhou X.-Q., Chen Y.-A., Lu C.-Yang, Karlsson A., Pan J.-W.: Experimental realization of optimal asymmetric cloning and telecloning via partial teleportation. Phys. Rev. Lett. 95, 30502 (2005)

    Article  ADS  Google Scholar 

  67. Cardoso W.B., de Almeida N.G.: Controlled partial teleportation of entangled states. Phys. Scr. 80, 045001 (2009)

    Article  ADS  MATH  Google Scholar 

  68. Cardoso W.B., de Almeida N.G.: Teleportation of entangled states through divorce of entangled pair mediated by a weak coherent field in a high-Q cavity. Chin. Phys. Lett. 25, 2488 (2008)

    Article  ADS  Google Scholar 

  69. An J.-H., Feng M., Oh C.H.: Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities. Phys. Rev. A 79, 032303 (2009)

    Article  ADS  Google Scholar 

  70. Julsgaard B., Kozhekin A., Polzik E.S.: Experimental long-lived entanglement of two macroscopic objects. Nature 413, 400 (2001)

    Article  ADS  Google Scholar 

  71. Walls D.F., Milburn G.J.: Quantum Optics. Springer, Berlin (1994)

    Book  MATH  Google Scholar 

  72. Carmichael H.J.: Statistical Methods in Quantum Optics 2: Non-Classical Fields. Springer, Berlin (2008)

    Book  MATH  Google Scholar 

  73. Olmschenk S., Matsukevich D.N., Maunz P., Hayes D., Duan L.-M., Monroe C.: Quantum teleportation between distant matter qubits. Science 323, 486 (2009)

    Article  ADS  Google Scholar 

  74. D’Auria V., Lee N., Amri T., Fabre C., Laurat J.: Quantum decoherence of single-photon counters. Phys. Rev. Lett. 107, 050504 (2011)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to W. B. Cardoso.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bastos, W.P., Cardoso, W.B., Avelar, A.T. et al. Controlled teleportation via photonic Faraday rotations in low-Q cavities. Quantum Inf Process 11, 1867–1881 (2012). https://doi.org/10.1007/s11128-011-0339-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11128-011-0339-6

Keywords

Navigation