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Bidirectional Controlled Teleportation by Using 5-Qubit States: A Generalized View

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Abstract

Recently bidirectional controlled perfect teleportation using 5-qubit states are reported in Int. J. Theor. Phys. (2013), doi:10.1007/s10773-013-1484-8 and ibid (2012), doi:10.1007/s10773-012-1208-5. In this paper we have shown that there exists a class of 5-qubit quantum states that can be used for bidirectional controlled teleportation. Two out of the three reported cases are the special cases of the proposed class of 5-qubit quantum states and one of them is not strictly a case of controlled bidirectional quantum teleportation. Further, we have shown that one can in principle, construct infinitely many 5-qubit quantum states for this purpose. We have also shown that the idea can be extended to bidirectional controlled probabilistic teleportation. Some potential applications of the proposed scheme and its modified versions are also discussed in relation with the implementation of quantum remote control and quantum cryptography.

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References

  1. Bennett, C.H., et al.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Hillery, M., Buzek, V., Bertaiume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  3. Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4394 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  4. Pathak, A., Banerjee, A.: Int. J. Quantum Inf. 9, 389 (2011)

    Article  MATH  Google Scholar 

  5. Wang, X.W., et al.: Opt. Commun. 283, 1196 (2010)

    Article  ADS  Google Scholar 

  6. Shukla, C., Pathak, A.: 1301.0498v1 [quant-ph]

  7. Pati, A.K.: Phys. Rev. A 63, 014302 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  8. Huelga, S.F., et al.: Phys. Rev. A 63, 042303 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  9. Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Phys. Rev. A 65, 042316 (2002)

    Article  ADS  Google Scholar 

  10. Zha, X.-W., Zou, Z.-C., Qi, J.-X., Song, H.-Y.: Int. J. Theor. Phys. (2012). doi:10.1007/s10773-012-1208-5

    Google Scholar 

  11. Zha, X.-W., -Song, H.Y., Ma, G.-L.: (2010). 1006.0052 [quant-ph]

  12. Li, Y.-h., Nie, L.-p.: Int. J. Theor. Phys. (2013). doi:10.1007/s10773-013-1484-8

    Google Scholar 

  13. Srinatha, N., Omkar, S., Srikanth, R., Banerjee, S., Pathak, A.: Quantum Inf. Process. (2013). doi:10.1007/s11128-012-0487-3

    Google Scholar 

  14. Lucamarini, M., Mancini, S.: Phys. Rev. Lett. 94, 140501 (2005)

    Article  ADS  Google Scholar 

  15. Zhang, Q.N., Li, C.C., Li, Y.H., Nie, Y.Y.: Int. J. Theor. Phys. 52, 22 (2013)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgement

AP thanks Department of Science and Technology (DST), India for support provided through the DST project No. SR/S2/LOP-0012/2010 and he also acknowledges the supports received from the projects CZ.1.05/2.1.00/03.0058 and CZ.1.07/2.3.00/20.0017 of the Ministry of Education, Youth and Sports of the Czech Republic.

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Authors and Affiliations

  1. Department of Physics and Materials Science Engineering, Jaypee Institute of Information Technology, A-10, Sector-62, Noida, UP, 201307, India

    Chitra Shukla & Anirban Pathak

  2. Department of Physics and Center for Astroparticle Physics and Space Science, Bose Institute, Block EN, Sector V, Kolkata, 700091, India

    Anindita Banerjee

  3. RCPTM, Joint Laboratory of Optics of Palacky University and Institute of Physics of Academy of Science of the Czech Republic, Faculty of Science, Palacky University, 17. listopadu 12, 77146, Olomouc, Czech Republic

    Anirban Pathak

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  1. Chitra Shukla
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  2. Anindita Banerjee
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  3. Anirban Pathak
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Correspondence to Anindita Banerjee.

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Shukla, C., Banerjee, A. & Pathak, A. Bidirectional Controlled Teleportation by Using 5-Qubit States: A Generalized View. Int J Theor Phys 52, 3790–3796 (2013). https://doi.org/10.1007/s10773-013-1684-2

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  • DOI: https://doi.org/10.1007/s10773-013-1684-2

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