Abstract
We analyze the properties of immune noise model and propose a noise model that achieves high fidelity and in secure channel. We focuse on four different types of channel properties which include bit-flipping noise, phase-flip or phase-damping noise, depolarization noise, and amplitude-damping noise. Finally, we analyze Alice’s qubit efficiency and all quantum bit efficiency in noise, and further design a high-fidelity immunity noise model based on density matrix. This research article is one of the cores of constructing a unified framework for high-fidelity secure communication channels. we also using decoherence-free subspaces (DFS) immune combined noise characteristics, a generalized entangled states to convert IDs that are initially shared by both the parties into logical quantum states for noise immunity, randomly mixed message sequence and transmitted.
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Cao, Z.L., Yang, M., Guo, G.C.: The scheme for realizing probabilistic teleportation of atomic states and purifying the quantum channel on cavity QED. Phys. Lett. A 308(5), 349–354 (2003)
Bennett, C.H., Wiesner, S.J.: Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69(20), 2881–2884 (1992)
Ye, L., Guo, G.C.: Scheme for implementing quantum dense coding in cavity QED. Phys. Rev. A 71(3), 034304 (2005)
Saha, D, Panigrahi, P.K.: N-qubit quantum teleportation, information splitting and superdense coding through the composite GHZCBell channel [J]. Quantum Inf. Process. 11(2), 615–628 (2012)
Nie, Y.Y., Li, Y.H., Liu, J.C., Sang, M.H.: Quantum information splitting of an arbitrary three-qubit state by using two four-qubit cluster states. Quantum Inf. Process. 10(3), 297–305 (2011)
Nie, Y.Y., Li, Y.H., Liu, J.C., Sang, M.H.: Quantum information splitting of an arbitrary three-qubit state by using a genuinely entangled five-qubit state and a Bell-state. Quantum Inf. Process. 11(2), 563–569 (2012)
Hou, K., Liu, G.H., Zhang, X.X., Sheng, S.Q.: An efficient scheme for five-party quantum state sharing of an arbitrary m-qubit steta using multiqubit cluster states. Quantum Inf. Process. 10(4), 463–473 (2011). 11(2),615–628(2012)
Man, Z.X., Xia, Y.J., An, N.B.: Quantum state sharing of an arbitrary multi-qubit state using non-maximally entangled GHZ states. Eur. Phys. J. D 42(2), 333–340 (2007)
Zheng, S.B.: Splitting quantum information via W states. Phys. Rev. A 74, 054303 (2006)
Murao, M., Jonathan, D., Plenio, M.B., et al.: Quantum telecloning and multiparticle entanglement[J]. Phys. Rev. A 59(1), 156 (1999)
Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret[J]. Phys. Rev. Lett. 83(3), 648 (1999)
Wang, X.W., Zhang D.Y., Tang, S.Q., et al.: Multiparty hierarchical quantum-information splitting [J]. J. Phys. B Atomic Mol. Phys. 44(3), 035505 (2011)
Wang, X.W., Zhang, D.Y., Tang, S.Q., et al.: Hierarchical quantum information splitting with six-photon cluster states[J]. Int. J. Theor. Phys. 49(11), 2691–2697 (2010)
Wang, XW, Xia, LX, Wang, Z., et al.: Hierarchical quantum-information splitting[J]. Optics Commun. 283(6), 1196–1199 (2010)
Luo, MX, Deng, Y.: Quantum splitting an arbitrary three-qubit state with -state[J]. Quantum Inf. Process. 12(2), 773–784 (2013)
You-Bang, Z., Qun-Yong, Z., Yu-Wu, W.: Schemes for splitting quantum information with four-particle genuine entangled states[J]. Commun. Theor. Phys. 53 (5), 847 (2010)
Xiu, XM, Li, QY, Dong, L, et al.: Distributing a multi-photon polarization-entangled state with unitary fidelity via arbitrary collective noise channels[J]. Quantum Inf. Process. 14(1), 361–372 (2015)
Nie, Y., Li, Y., Wang, Z.: Semi-quantum information splitting using GHZ-type states. Quantum Inf. Process. 12(1), 437–448 (2012)
Zhang, W, Liu, YM, Yin, XF, et al.: Splitting four ensembles of two-qubit quantum information via three Einstein-Podolsky-Rosen pairs[J]. The European Phys. J. D 55(1), 189–195 (2009)
Dong, L, Xiu, XM, Ren, YP, et al.: Teleportation of a two-qubit arbitrary unknown state using a four-qubit genuine entangled state with the combination of bell-state measurements[J]. J. Exp. Theor. Phys. 116(1), 15–19 (2013)
Xiang, Y., Mo, Z.W.: Quantum secret sharing protocol based on four-dimensional three-particle entangled states[J]. Mod. Phys. Lett. B, 1550267 (2016)
Matsumoto, R.: Strongly secure quantum ramp secret sharing constructed from algebraic curves over finite fields (full version arXiv:1410.5126) [J] (2015)
Nguyen, B.A.: Quantum dialogue [J]. Phys. Lett. A 328(1), 6–10 (2004)
Xin, J., Shou, Z.: Secure quantum dialogue based on single-photon [J]. Chinese Phys. 15(7), 1418–1420 (2006)
Xin, J., Jing, X.R., Zhang, Y.Q., Shou, Z.: Quantum dialogue by using single photons [J]. Alta Sinise Quantum Optical 14(3), 273–276 (2008)
Shi, G.F., Xi, X.Q., Hu, M.L., et al.: Quantum dialogue by using single photons [J]. Optics Commun. 283(9), 1984–1986 (2010)
Shi, G.F., Tian, X.L.: Quantum secure dialogue based on single photons and controlled-not operations [J]. J. Mod. Opt. 57(20), 2027–2030 (2010)
Yang, Y.G., Wen, Q.Y.: Quasi-secure quantum dialogue using single photons [J]. Sci. China, Ser. G 50(5), 558–562 (2007)
Gao, G., Wang, L.P.: A protocol for bidirectional quantum secure communication based on genuine four-particle entangled states [J]. Commun. Theor. Phys. 54(3), 447–451 (2010)
Gao, G., Fang, M., Wang, Y., et al.: A ping-pong quantum dialogue scheme using genuine four-particle entangled states [J]. Int. J. Theor. Phys. 50(10), 3089–3095 (2011)
Shen, D.S., Ma, W.P., et al.: Quantum dialogue with authentication based on Bell states [J]. Int. J. Theor. Phys. 52(6), 1825–1835 (2013)
Ye, T.Y., Jiang, L.Z.: Quantum dialogue without information leakage based on the en-tanglement swapping between any two Bell states and the shared secret Bell state [J]. Phys. Scripter 89(1), 015103 (2014)
Bell, B.A., Markham, D., Herrera-Mart, D.A., et al.: Experimental demonstration of graph-state quantum secret sharing[J]. Nature Commun., 5 (2014)
Lin, TH, Lin, CY, Hwang, T.: Man-in-the-middle attack on quantum dialogue with au-thentication based on Bell states [J]. Int. J. Theor. Phys. 52(9), 3199–3203 (2013)
Bauchi, L., Baumstein, S.L., S.P.: Quantum fidelity for arbitrary Gaussian states [J]. Phys. Rev. Lett. 115(26), 260501 (2015)
Acknowledgements
This work is supported by National Natural Science Foundation of China (61802033), Science and Technology projects in Sichuan Province (2016FZ0002, 2015JY0178, 2015KZ002, 2015JY0030, 2016ZC2575).
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Li, Df., Wang, Rj., Yang, Ym. et al. Authentication of Quantum Secure Communication Under Noise. Int J Theor Phys 58, 1079–1087 (2019). https://doi.org/10.1007/s10773-018-03999-0
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DOI: https://doi.org/10.1007/s10773-018-03999-0