Abstract
In this paper, we study the quantum teleportation protocol in fluctuating electromagnetic field. The noisy model of quantum teleportation is constructed and the master equation that governs the evolution is solved. We analyze the effect of temperature and noisy parameter on fidelity and quantum coherence, which give us more freedom in controlling the quantum teleportation. We find that the fidelity has some relations with quantum coherence. Fidelity decay rate is dependent on the atom spontaneous emission rate and temperature. When teleporting a non-maximally coherent state, for different ranges of noisy parameter, fidelity has different variations with temperature, and evolves to different values, higher temperature leading to higher fidelity at last; when teleporting a maximally coherent state, fidelity decays to a fixed value with increasing noisy parameter and temperature.
Similar content being viewed by others
References
Bennett, C.H., Brassard, G., Crépeau, 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)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Sangouard, N., Simon, C., De Riedmatten, H., Gisin, N.: Quantum repeaters based on atomic ensembles and linear optics. Rev. Mod. Phys. 83, 33 (2011)
Yin, J., et al.: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185 (2012)
Landry, O., van Houwelingen, J.A.W., Beveratos, A., Zbinden, H., Gisin, N.: Quantum teleportation over the Swisscom telecommunication network. JOSA B 24, 398 (2007)
Kimble, H.J.: The quantum internet. Nature 453, 1023 (2008)
Gottesman, D., Chuang, I.: Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations. Nature 402, 390 (1999)
Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46 (2001)
Riebe, M., et al.: Deterministic quantum teleportation with atoms. Nature 429, 734 (2004)
Barrett, M.D., et al.: Deterministic quantum teleportation of atomic qubits. Nature 429, 737 (2004)
Olmschenk, S., Matsukevich, D.N., Maunz, P., Hayes, D., Duan, L.M., Monroe, C.: Quantum teleportation between distant matter qubits. Science 323, 486 (2009)
Pfaff, W., et al.: Unconditional quantum teleportation between distant solid-state quantum bits. Science 345, 532 (2014)
Wang, X.L., et al.: Quantum teleportation of multiple degrees of freedom of a single photon. Nature 518, 516 (2015)
Valivarthi, R., et al.: Quantum teleportation across a metropolitan fibre network. Nat. Photonics 10, 676 (2016)
Pirandola, S., Eisert, J., Weedbrook, C., Furusawa, A., Braunstein, S.L.: Advances in quantum teleportation. Nat. Photonics 9, 641 (2015)
Benatti, F., Floreanini, R.: Controlling entanglement generation in external quantum fields. J. Opt. B: Quantum Semiclass. Opt. 7, S429 (2005)
Yang, Y.Q., Hu, J.W., Yu, H.W.: Entanglement dynamics for uniformly accelerated two-level atoms coupled with electromagnetic vacuum fluctuations. Phys. Rev. A 94, 032337 (2016)
Huang, Z.M., Situ, H.Z.: Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field. Ann. Phys. 377, 484 (2017)
Liu, X.B., Tian, Z.H., Wang, J.C., Jing, J.L.: Inhibiting decoherence of two-level atom in thermal bath by presence of boundaries. Quantum Inf. Process. 15, 3677 (2016)
Xiao, X., Yao, Y., Zhong, W.J., Li, Y.L., Xie, Y.M.: Enhancing teleportation of quantum Fisher information by partial measurements. Hys. Rev. A 93, 012307 (2016)
Qiu, L., Tang, G., Yang, X.Q., Wang, A.M.: Enhancing teleportation fidelity by means of weak measurements or reversal. Ann. Phys. 350, 137 (2014)
Jin, Y.: The effects of vacuum fluctuations on teleportation of quantum Fisher information. Sci. Rep. 7, 40193 (2017)
Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63, 015302 (2000)
Wang, D.: Remote preparation of an arbitrary two-particle pure state via nonmaximally entangled states and positive operator-valued measurement. Int. J. Quant. Infor. 8, 1265 (2010)
Wang, D., Ye, L.: Multiparty-controlled joint remote state preparation. Quantum Inf. Process. 12, 3223 (2013)
Gong, L.H., et al.: A continuous variable quantum deterministic key distribution based on two-mode squeezed states. Phys. Scr. 89, 035101 (2014)
Wang, D., Hu, Y.D., Wang, Z.Q., Ye, L.: Efficient and faithful remote preparation of arbitrary three- and four-particle -class entangled states. Quantum Inf. Process. 14, 2135 (2015)
Wang, D., Huang, A.J., Sun, W.Y., Shi, J.D., Ye, L.: Practical single-photon-assisted remote state preparation with non-maximally entanglement. Quantum Inf. Process. 15, 3367 (2016)
Zhou, N.R., et al.: New quantum dialogue protocol based on continuous-variable two-mode squeezed vacuum states. Quantum Inf. Process. 16, 4 (2017)
Xiang, G.Y., Li, J., Yu, B., Guo, G.C.: Remote preparation of mixed states via noisy entanglement. Phys. Rev. A 72, 012315 (2005)
Liang, H.Q., Liu, J.M., Feng, S.S., Chen, J.G., Xu, X.Y.: Effects of noises on joint remote state preparation via a GHZ-class channel. Quantum Inf. Process. 14, 3857 (2015)
Wang, M.M., Qu, Z.G.: Effect of quantum noise on deterministic joint remote state preparation of a qubit state via a GHZ channel. Quantum Inf. Process. 15, 4805 (2016)
Li, J.F., Liu, J.M., Xu, X.Y.: Deterministic joint remote preparation of an arbitrary two-qubit state in noisy environments. Quantum Inf. Process. 14, 3465 (2015)
Jozsa, R.: Fidelity for mixed quantum states. J. Mod. Opt. 41, 2315 (1994)
Streltsov, A., Adesso, G., Plenio, M.B.: Quantum coherence as a resource. arXiv:1609.02439 (2016)
Situ, H.Z., Hu, X.Y.: Dynamics of relative entropy of coherence under Markovian channels. Quantum Inf. Process. 15, 4649 (2016)
Huang, Z.M.: Dynamics of quantum correlation and coherence in de Sitter universe. Quantum Inf. Process. 16, 207 (2017)
Huang, Z.M., Situ, H.Z., Zhao, L.H.: Payoffs and coherence of a quantum two-player game under noisy environment. Eur. Phys. J. Plus 132, 152 (2017)
Huang, Z.M., Situ, H.Z.: Non-Markovian dynamics of quantum coherence of two-level system driven by classical field. Quantum Inf. Process. 16, 222 (2017)
Baumgratz, T., Cramer, M., Plenio, M.B.: Quantifying coherence. Phys. Rev. Lett. 113, 140401 (2014)
Huang, Z.M., Situ, H.Z.: Optimal protection of quantum coherence in noisy environment. Int. J. Theor. Phys. 56, 503 (2017)
Huang, Z.M., Situ, H.Z.: Quantum coherence behaviors of fermionic system in non-inertial frame. Quantum Inf. Process. 17, 95 (2018)
Gorini, V., Kossakowski, A., Surdarshan, E.C.G.: Completely positive dynamical semigroups of N-level systems. J. Math. Phys. 17, 821 (1976)
Lindblad, G.: On the generators of quantum dynamical semigroups. Commun. Math. Phys. 48, 119 (1976)
Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)
Acknowledgements
This work is supported by the National Natural Science Foundation of China (61871205), and the Innovation Project of Department of Education of Guangdong Province (2017KTSCX180) and the Jiangmen Science and Technology Plan Project for Basic and Theoretical Research (2018JC01010).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Huang, Z. Quantum Teleportation in Thermal Fluctuating Electromagnetic Field. Int J Theor Phys 58, 383–390 (2019). https://doi.org/10.1007/s10773-018-3939-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-018-3939-4