Abstract
This paper takes advantage of the quantum mechanics to present two efficient circular controlled quantum communication schemes. The proposed protocols utilize ten qubits for transmitting the information qubits to five partners circularly, under the permission of a controller. The first protocol is a circular controlled quantum teleportation, which teleports unknown quantum states. The second protocol is a circular controlled quantum broadcast scheme which sends quantum states to two dispersed recipients, circularly. In this paper, the effects of quantum noises on these protocols are analyzed, and the fidelity of the quantum states is calculated too. We will see that, in the circular controlled quantum teleportation protocol, the impact of the noise on input qubits is less than its impact on channel qubits.
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References
Long, G., Liu, X.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65(3), 032302 (2002)
Zarmehi, F., Houshmand, M.: Controlled bidirectional quantum secure direct communication network using classical xor operation and quantum entanglement. IEEE Commun. Lett. 20(10), 2071 (2016)
Qi, R., Sun, Z., Lin, Z., Niu, P., Hao, W., Song, L., Huang, Q., Gao, J., Yin, L., Long, G.L.: Implementation and security analysis of practical quantum secure direct communication. Light Sci. Appl. 8(1), 1 (2019)
Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing, arXiv preprint arXiv:2003.06557 (2020)
Vazirani, U., Vidick, T.: Fully device-independent quantum key distribution. Phys. Rev. Lett. 113, 140501 (2014)
Vlachou, C., Krawec, W., Mateus, P., Paunković, N., Souto, A.: Quantum key distribution with quantum walks. Quantum Inf. Process. 17(11), 288 (2018)
Razavi, M.: Multiple-access quantum key distribution networks. Commun. IEEE Trans. 60(10), 3071 (2012)
Cacciapuoti, A.S., Caleffi, M., Van Meter, R., Hanzo, L.: When entanglement meets classical communications: quantum teleportation for the quantum Internet. IEEE Trans. Commun. 68(6), 3808–3833 (2020)
Wang, Y., Shang, Y., Xue, P.: Generalized teleportation by quantum walks. Quantum Inf. Process. 16(9), 221 (2017)
Sadeghi-Zadeh, M.S., Houshmand, M., Aghababa, H., Kochakzadeh, M.H., Zarmehi, F.: Bidirectional quantum teleportation of an arbitrary number of qubits over noisy channel. Quantum Inf. Process. 18(11), 353 (2019)
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(13), 1895 (1993)
Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76, 722 (1996)
Chen, J., Li, D., Liu, M., Yang, Y.: Bidirectional quantum teleportation by using a four-qubit GHZ state and two bell states. IEEE Access 8, 28925 (2020)
Zhou, R.G., Xu, R., Lan, H.: Bidirectional quantum teleportation by using six-qubit cluster state. IEEE Access 7, 44269 (2019)
Guo, W., Hou, X.: An efficient controlled quantum secure direct communication protocol via GHZ-like states, In: 2019 IEEE 5th International Conference on Computer and Communications (ICCC), pp. 821–825 (2019)
Huo, G.W., Zhang, T.Y., Zha, X.W., Zhang, M.Z.: Controlled asymmetric bidirectional hybrid of remote state preparation and quantum teleportation. Int. J. Theor. Phys. 59(2), 331 (2020)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390(6660), 575 (1997)
Ren, J.G., Xu, P., Yong, H.L., Zhang, L., Liao, S.K., Yin, J., Liu, W.Y., Cai, W.Q., Yang, M., Li, L., et al.: Ground-to-satellite quantum teleportation. Nature 549(7670), 70 (2017)
Sheng, Y.B.: Certifying quantum teleportation experimentally. Quantum Eng. 1(3), e22 (2019)
Hu, X.M., Zhang, C., Liu, B.H., Huang, Y.F., Li, C.F., Guo, G.C.: Experimental multi-level quantum teleportation, arXiv preprint arXiv:1904.12249 (2019)
Chou, K.S., Blumoff, J.Z., Wang, C.S., Reinhold, P.C., Axline, C.J., Gao, Y.Y., Frunzio, L., Devoret, M., Jiang, L., Schoelkopf, R.: Deterministic teleportation of a quantum gate between two logical qubits. Nature 561(7723), 368 (2018)
Jian, W., Quan, Z., Chao-Jing, T.: Quantum broadcast communication. Chin. Phys. 16(7), 1868 (2007)
Yan, C., Chun-Xiang, X., Shi-Bin, Z., Li-Li, Y.: Quantum broadcast communication and authentication protocol with a quantum one-time pad. Chin. Phys. B 23(1), 010305 (2013)
Yu, Y., Zha, X.W., Li, W.: Quantum broadcast scheme and multi-output quantum teleportation via four-qubit cluster state. Quantum Inf. Process. 16(2), 41 (2017)
Oh, S., Lee, S., Lee, Hw.: Fidelity of quantum teleportation through noisy channels. Phys. Rev. A 66(2), 022316 (2002)
Lidar, D.A., Chuang, I.L., Whaley, K.B.: Decoherence-free subspaces for quantum computation. Phys. Rev. Lett. 81(12), 2594 (1998)
Lindblad, G.: On the generators of quantum dynamical semigroups. Commun. Math. Phys. 48(2), 119 (1976)
Makhlin, Y.: Quantum-state engineering with Josephson-junction devices. Rev. Mod. Phys. 73, 357 (2001)
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Zarmehi, F., Kochakzadeh, M.H., Abbasi-Moghadam, D. et al. Efficient circular controlled quantum teleportation and broadcast schemes in the presence of quantum noises. Quantum Inf Process 20, 175 (2021). https://doi.org/10.1007/s11128-021-03088-y
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DOI: https://doi.org/10.1007/s11128-021-03088-y