Abstract
We study a scheme for quantum teleportation of a single-mode squeezed coherent state using entangled two-mode squeezed vacuum. We establish the analytic expression of displacement gain dependent fidelity in terms of the squeezing coherent parameter \(r\) and quantum channel parameter \(p\). The dependence of the optimum displacement gain for teleporting a squeezed coherent state upon the EPR entanglement is discussed. It shows that the fidelity of teleportation can be improved by tuning the displacement gain. We find that the fidelity increases with the increase of EPR parameter, while it decreases with the increase of the squeezing coherent parameter of the signal. We get infinite squeezing as a resource is required for an ideal and perfect teleportation of unknown input states. We show that the nonclassical properties of an unknown state to be teleported can be preserved in the teleportation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anno, F.D., Siena, S.D., Albano, L., Illuminati, F.: Continuous-variable quantum teleportation with non-Gaussian resources. Phys. Rev. A 76, 022301-1–022301-11 (2007)
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)
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, 1121–1125 (1998)
Bouwmeester, D., Pan, Jian-Wei, Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575–579 (1997)
Braunstein, S.L., Kimble, H.J.: Teleportation of continuous quantum variables. Phys. Rev. Lett. 80, 869–872 (1998)
Braunstein, S.L., Pati, A.K.: Quantum Information with Continuous Variables edn. Kluwer Academic, Dordrecht (2003)
Cerf, N.J., Ipe, A., Rottenberg, X.: Cloning of continuous quantum variables. Phys. Rev. Lett. 85, 1754–1757 (2000)
Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777–780 (1935)
Feng, M.-F., Zhang, Yi, Jiang, N.-Q., Zheng, Y.-Z.: Efficient two-mode squeezing and quantum-state teleportation of macroscopic atomic ensembles. Phys. Rev. A 79, 012327-1–012327-10 (2009)
Furusawa, A., Sorensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282, 706–709 (1998)
Giri, D.K. and Singh, R.P.: Quantum teleportation with two-mode squeezed light. In: Proceedings 99th Indian Science Congress, , pp. 116-117. KIIT University, Bhubaneswar (2012)
Horodecki, M., Horodecki, P., Horodecki, R.: General teleportation channel, singlet fraction, and quasi distillation. Phys. Rev. A 60, 1888–1898 (1999)
Ide, Toshiki, Hofmann, Holger F., Furusawa, Akira, Kobayashi, Takayoshi: Gain tuning and fidelity in continuous-variable quantum teleportation. Phys. Rev. A 65, 062303-1–062303-7 (2002)
Irfan, Md, Qamar, S., Qamar, S.: Scheme for the teleportation of bipartite entangled state of the two cavity modes. Opt. Commun. 284, 675–680 (2011)
Jing-Tao, Zhang, Guang-Qiang, He, Li-Jie, Ren, Gui-Hua, Zeng: The dependence of fidelity on the squeezing parameter in teleportation of the squeezed coherent states. Chin. Phys. B 20, 050311-1–050311-4 (2011)
Jozsa, R.: Fidelity for mixed quantum states. J. Mod. Opt. 41, 2315–2323 (1994)
Lloyd, S., Braunstein, S.L.: Quantum computation over continuous variables. Phys Rev. Lett. 82, 1784–1787 (1999)
Van Loock, P., Braunstein, S.L.: Multipartite entanglement for continuous variables: A quantum teleportation network. Phys. Rev. Lett. 84, 3482–3485 (2000)
Mari, A., Vitali, D.: Optimal fidelity of teleportation of coherent states and entanglement. Phys. Rev. A 78, 062340-1–062340-9 (2008)
Milburn, G.J., Braunstein, S.L.: Quantum teleportation with squeezed vacuum states. Phys. Rev. A 60, 937–942 (1999)
Nha, H., Carmichael, H.J.: Distinguishing two single-mode Gaussian states by homodyne detection: An information-theoretic approach. Phys. Rev. A 71, 032336-1–032336-7 (2005)
Olivares, S., Paris, M.G.A., Andersen, U.L.: Cloning of Gaussian states by linear optics. Phys. Rev. A 73, 062330-1–062330-8 (2006)
Ou, Z.Y., Pereira, S.F., Kimble, H.J., Peng, K.C.: Realization of the Einstein–Podolsky–Rosen paradox for continuous variables. Phys. Rev. Lett. 68, 3663–3666 (1992)
Owari, M., Plenio, M.B., Polzik, E.S., Serafini, A., Wolf, M.M.: Squeezing the limit: Quantum benchmarks for the teleportation and storage of squeezed states. New J. Phys. 10, 113014-1–113014-20 (2008)
Ralph, T.C., Lam, P.K.: Teleportation with bright squeezed light. Phys. Rev. Lett. 81, 5668–5671 (1998)
Ralph, T.C.: Continuous variable quantum cryptography. Phys. Rev. A 61, 010303(R)-1–010303(R)-4 (1999)
Scutaru, H.: Fidelity for displaced squeezed thermal states and the oscillator semigroup. J. Phys. A Math. Gen. 31, 3659–3663 (1998)
Simon, R., Sudarshan, E.C.G., Mukunda, N.: Gaussian Wigner distributions in quantum mechanics and optics. Phys. Rev. A 36, 3868–3880 (1987)
Simon, R., Mukunda, N., Dutta, B.: Quantum noise matrix for multimode systems: U(n)-invariance, squeezing and normal forms. Phys. Rev. A 49, 1567–1583 (1994)
Takei, N., Aoki, T., Koike, S., Yoshino, K., Wakui, K., Yonezawa, H., Hiraoka, T., Mizuno, J., Takeoka, M., Ban, M., Furusawa, A.: Experimental demonstration of quantum teleportation of a squeezed state. Phys. Rev. A 72, 042304-1–042304-7 (2005)
Tan, Sze M.: Confirming entanglement in continuous variable quantum teleportation. Phys. Rev. A 60, 2752–2758 (1999)
Uhlmann, A.: The “transition probability” in the state space of a *-algebra. Reports on Mathematical Physics 9, 273–279 (1975)
Vaidman, L.: Teleportation of quantum states. Phys. Rev. A 49, 1473–1476 (1994)
Wagner Jr, R., Clemens, James P.: Fidelity of quantum teleportation based on spatially and temporally resolved spontaneous emission. J. Opt. Soc. Am. B 27, A73–A80 (2010)
Yukawa, M., Benichi, H., Furusawa, A.: High-fidelity continuous-variable quantum teleportation toward multistep quantum operations. Phys. Rev. A 77, 022314-1–022314-5 (2008)
Acknowledgments
We acknowledge to colleagues of ‘Theoretical Physics Division’ at PRL especially Mr. Shashi Prabhakar for their continuous support during the summer research project work. One of the authors (DKG) is supported by IAS-INSA-NASI, ‘Summer Research Fellowships’, India. We would like to thank the referees for his comments and valuable suggestions.
Author information
Authors and Affiliations
Corresponding author
Additional information
Sindri College is a Constituent Unit of Vinoba Bhave University, Hazaribag.
Rights and permissions
About this article
Cite this article
Giri, D.K., Singh, R.P. & Bandyopadhyay, A. Displacement gain dependent fidelity in quantum teleportation using entangled two-mode squeezed light. Opt Quant Electron 46, 1127–1137 (2014). https://doi.org/10.1007/s11082-013-9843-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11082-013-9843-5