Abstract
Fusing the ideas of hierarchical quantum state sharing and quantum operation sharing, a novel protocol for quantum communication having substantial applications in the future quantum network is designed and analyzed. Concretely, we put forward a five-party quantum rotation operation sharing scheme with the aid of shared five-qubit cluster state and local operation as well as classical communication. The five features in the presented scheme are exposed, and comparing our scenario with existing schemes, we find that some of these important features are not available in existing protocols. Furthermore, we confirm our scheme security via a detailed analysis and reveal the experimental feasibility of the scheme with the current technologies.
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References
Bennett, C.H., Brassard, G., Crepeau, C., et al.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)
Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A. 63(1), 014302 (2000)
Bennett, C.H., DiVincenzo, D.P., Shor, P.W., et al.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)
Xu, G., Chen, X.B., Dou, Z., et al.: Novel criteria for deterministic remote state preparation via the entangled six-qubit state. Entropy 18, 267 (2016)
Chen, X.B., Sun, Y.R., Xu, G., et al.: Controlled bidirectional remote preparation of three-qubit state. Quantum Inf. Process. 16, 244 (2017)
Hillery, M., Bužek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59(3), 1829–1834 (1999)
Hayashi, M., Iwama, K., Nishimura, H., et al.: Quantum network coding. In: Proceedings of the 24th Annual Conference on Theoretical Aspects of Computer Science, pp. 610–621. Springer, Berlin (2007)
Leung, D., Oppenheim, J., Winter, A.: Quantum network communication-the butterfly and beyond. IEEE Trans. Inf. Theory 56, 3478–3490 (2010)
Li, J., Chen, X.B., Sun, X.M., et al.: Quantum network coding for multi-unicast problem based on 2D and 3D cluster states. Sci. China Inf. Sci. 59, 042301 (2016)
Chen, X.B., Wang, Y.L., Xu, G., et al.: Quantum network communication with a novel discrete-time quantum walk. IEEE Access 7, 13634–13642 (2019)
Boström, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89(18), 187902 (2002)
Cao, W.F., Yang, Y.G., Wen, Q.Y.: Quantum secure direct communication with cluster states. Sci. China Phys. Mech. Astron. 53(7), 1271–1275 (2010)
Xu, G., Xiao, K., Li, Z.P., et al.: Controlled secure direct communication protocol via the three-qubit partially entangled set of states. CMC Comput. Mater. Contin. 58(3), 809–827 (2019)
Fortes, R., Rigolin, G.: Fighting noise with noise in realistic quantum teleportation. Phys. Rev. A 92, 012338 (2015)
Peng, J.Y., Mo, Z.W.: Several teleportation schemes of an arbitrary unknown multi-particle state via different quantum channels. Chin. Phys. B 5, 160–167 (2013)
Bennett, C.H., Wiesner, S.J.: Communication via one-and two-particle operators on Einstein–Podolsky–Rosen states. Phys. Rev. Lett. 69(20), 2881 (1992)
Peng, J.Y., Luo, M.X., Mo, Z.W.: Quantum tasks with non-maximally quantum channels via positive operator-valued measurement. Int. J. Theor. Phys. 52(1), 253–265 (2013)
Chen, X.B., Wen, Q.Y., Sun, Z.X., et al.: Deterministic and exact entanglement teleportation via the W state. Chin. Phys. B 19(1), 41–45 (2010)
Peng, J.Y., Bai, M.Q., Mo, Z.W.: Bidirectional quantum states sharing. Int. J. Theor. Phys. 55(5), 2481–2489 (2016)
Wang, X.W., Yang, G.J., Su, Y.H., et al.: Simple schemes for quantum information processing with W-type entanglement. Quantum Inf. Process. 8(5), 431–442 (2009)
Peng, J.Y., Mo, Z.W.: Quantum sharing an unknown multi-particle state via POVM. Int. J. Theor. Phys. 52(2), 620–633 (2013)
Zhao, Z., Chen, Y.A., Zhang, A.N., et al.: Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature 430(6995), 54–58 (2004)
Chen, X.B., Tang, X., Xu, G., et al.: Cryptanalysis of secret sharing with a single d-level quantum system. Quantum Inf. Process 17, 225 (2018)
Tavakoli, A., Herbauts, I., Zukowski, M., et al.: Secret sharing with a single \(d\)-level quantum system. Phys. Rev. A 92(R), 030302 (2015)
Wang, X.W., Xia, L.X., Wang, Z.Y., et al.: Hierarchical quantum-information splitting. Opt. Commun. 283(6), 1196–1199 (2010)
Wang, X.W., Zhang, D.Y., Tang, S.Q., et al.: Multiparty hierarchical quantum-information splitting. J. Phys. B At. Mol. Opt. Phys. 44(3), 035505 (2011)
Peng, J.Y., Bai, M.Q., Mo, Z.W.: Hierarchical and probabilistic quantum state sharing via non-maximally entangled \(|\chi \rangle \) state. Chin. Phys. B 23(1), 010304 (2014)
Yang, Y.G., Wen, Q.Y.: Circular threshold quantum secret sharing. Chin. Phys. B 17(2), 419–423 (2008)
Peng, J.Y., Mo, Z.W.: Hierarchical and probabilistic quantum state sharing via non-maximally entangled four-qubit cluster state. Int. J. Quantum Inf. 11(01), 1350004 (2013)
Bouwmeester, D., Pan, J.W., Mattle, K., et al.: Experimental quantum teleportation. Nature 390(6660), 575–579 (1997)
Ma, X.S., Herbst, T., Scheidl, T., et al.: Quantum teleportation over 143 kilometres using active feed-forward. Nature 489(7415), 269–273 (2012)
Wiesner, S.: Conjugate coding. ACM Sigact News 15(1), 78–88 (1983)
Ben-Or, M., Crépeau, C., Gottesman, D., et al.: Secure multiparty quantum computation with (only) a strict honest majority. In: IEEE Symposium on Foundations of Computer Science, pp 249–260 (2006)
Hoban, M.J., Campbell, E.T., Loukopoulos, K., et al.: Non-adaptive measurement-based quantum computation and multi-party Bell inequalities. New J. Phys. 13(2), 023014 (2011)
Huelga, S.F., Vaccaro, J.A., Chefles, A., et al.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63(4), 042303 (2001)
Zheng, Y.Z., Ye, P., Guo, G.C.: Probabilistic implementation of non-local CNOT operation and entanglement purification. Chin. Phys. Lett. 21(1), 9–11 (2004)
Yao, C.M.: Quantum remote control of unitary operations on a qubit of pure entangled states. Chin. Phys. Lett. 23(3), 545–547 (2006)
Ye, M.Y., Zhang, Y.S., Guo, G.C.: Efficient implementation of controlled rotations by using entanglement. Phys. Rev. A 73(3), 032337 (2006)
Fan, Q.B., Liu, D.D.: Controlled remote implementation of partially unknown quantum operation. Sci. China Ser. G Phys. Mech. Astron. 51(11), 1661–1667 (2008)
Wang, A.M.: Combined and controlled remote implementations of partially unknown quantum operations of multiqubits using Greenberger–Horne–Zeilinger states. Phys. Rev. A 75(6), 062323 (2007)
Zhao, N.B., Wang, A.M.: Local implementation of nonlocal operations with block forms. Phys. Rev. A 78(1), 014305 (2008)
Zhang, Z.J., Cheung, C.Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B 44(16), 165508 (2011)
Ye, B.L., Liu, Y.M., Liu, X.S., et al.: Remotely sharing a single-qubit operation with a five-qubit Genuine state. Chin. Phys. Lett. 30(2), 020301 (2013)
Peng, J.Y.: Tripartite operation sharing with five-qubit Brown state. Quantum Inf. Process. 15(6), 2465–2473 (2016)
Liu, D.C., Liu, Y.M., Xie, C.M., et al.: Shared quantum control via sharing operation on remote single qubit. Quantum Inf. Process. 12(11), 3527–3542 (2013)
Xie, C., Liu, Y., Xing, H., et al.: Probabilistic three-party sharing of operation on a remote qubit. Entropy 17(2), 841–851 (2015)
Ji, Q., Liu, Y., Xie, C., et al.: Tripartite quantum operation sharing with two asymmetric three-qubit W states in five entanglement structures. Quantum Inf. Process. 13(8), 1659–1676 (2014)
Xing, H., Liu, Y., Xie, C., et al.: Four-party deterministic operation sharing with six-qubit cluster state. Quantum Inf. Process. 13(7), 1553–1562 (2014)
Duan, Y.J., Zha, X.W.: Remotely sharing a sing-qubit operation via a six-qubit entangled state. Int. J. Theor. Phys. 54(3), 877–883 (2015)
Peng, J.Y.: Tripartite operation sharing with six-particle maximally entangled state. Quantum Inf. Process. 14(11), 4255–4262 (2015)
Ji, Q.B., Liu, Y.M., Yin, X.F., et al.: Quantum operation sharing with symmetric and asymmetric W states. Quantum Inf. Process. 12(7), 2453–2464 (2013)
Wang, S.F., Liu, Y.M., Chen, J.L., et al.: Deterministic single-qubit operation sharing with five-qubit cluster state. Quantum Inf. Process. 12(7), 2497–2507 (2013)
Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86(5), 910 (2001)
Raussendorf, R., Briegel, H.J.: A one-way quantum computer. Phys. Rev. Lett. 86(22), 5188 (2001)
Nielsen, M.A.: Optical quantum computation using cluster states. Phys. Rev. Lett. 93(4), 040503 (2004)
Zou, X.B., Mathis, W.: Generating a four-photon polarization-entangled cluster state. Phys. Rev. A 71(3), 032308 (2005)
Browne, D.E., Rudolph, T.: Resource-efficient linear optical quantum computation. Phys. Rev. Lett. 95, 010501 (2005)
Yang, W.X., Zhan, Z.M., Li, J.H.: Efficient scheme for multipartite entanglement and quantum information processing with trapped ions. Phys. Rev. A 72(6), 062108 (2005)
Zheng, S.B.: Generation of cluster states in ion-trap systems. Phys. Rev. A 73(6), 065802 (2006)
Dong, P., Xue, Z.Y., Yang, M., et al.: Generation of cluster states. Phys. Rev. A 73(3), 033818 (2006)
Zhou, Y.L., Jia, Y.L., Yi, H.D., et al.: Generation of cluster states in cavity QED. Chin. Phys. Lett. 24(12), 3304 (2007)
Shao, X.Q., Zhang, S.: One-step generation of cluster states assisted by a strong driving classical field in cavity quantum electrodynamics. Chin. Phys. Lett. 25(9), 3132 (2008)
Zhang, X.L., Feng, M., Gao, K.L.: Cluster-state preparation and multipartite entanglement analyzer with fermions. Phys. Rev. A 73(1), 014301 (2006)
Borhani, M., Loss, D.: Cluster states from Heisenberg interactions. Phys. Rev. A 71, 034308 (2005)
Cho, J., Lee, H.W.: Generation of atomic cluster states through the cavity input-output process. Phys. Rev. Lett. 95(16), 160501 (2005)
Diao, D.S., Zhang, Y.S., Zhou, X.F., et al.: Efficient Construction of High-Dimensional Cluster State. Chin. Phys. Lett. 25(10), 3555–3557 (2008)
Jeong, H., Bae, S., Choi, S.: Quantum teleportation between a single-rail single-photon qubit and a coherent-state qubit using hybrid entanglement under decoherence effects. Quantum Inf. Process. 15(2), 913–927 (2016)
Wang, M.Y., Yan, F.L.: Quantum teleportation of a generic two-photon state with weak cross-Kerr nonlinearities. Quantum Inf. Process. 15(8), 3383–3392 (2016)
Zhang, K.J., Zhang, L., Song, T.T., et al.: A potential application in quantum networks—deterministic quantum operation sharing schemes with Bell states. Sci. China Phys. Mech. Astron. 59, 660302 (2016)
Zhou, L., Sheng, Y.B.: Complete logic Bell-state analysis assisted with photonic Faraday rotation. Phys. Rev. A 92(4), 042314 (2015)
Zhou, L., Sheng, Y.B.: Feasible logic Bell-state analysis with linear optics. Sci. Rep. 6, 20901 (2016)
Yang, C.P., Guo, G.C.: Disentanglement-free state of two pairs of two-level atoms. Phys. Rev. A 59(6), 4217–4222 (1999)
Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein–Podolsky–Rosen pair block. Phys. Rev. A 68(4), 042317 (2003)
Kim, M.S., Agarwal, G.S.: Reconstruction of an entangled states in cavity QED. Phys. Rev. A 59(4), 3044–3048 (1999)
Ikram, M., Zhu, S.Y., Zubairy, M.S.: Quantum teleportation of an entangled state. Phys. Rev. A 62(2), 022307 (2000)
Riebe, M., Häffner, H., Roos, C.F., et al.: Deterministic quantum teleportation with atoms. Nature 429(6993), 734–737 (2004)
Acknowledgements
This work is supported by Natural Science Foundation of China (Grant No. 11071178, 11671284), Sichuan Provincial Natural Science Foundation of China (Grant No. 2017JY0197).
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Peng, JY., Bai, Mq. & Mo, ZW. Multicharacters remote rotation sharing with five-particle cluster state. Quantum Inf Process 18, 339 (2019). https://doi.org/10.1007/s11128-019-2457-5
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DOI: https://doi.org/10.1007/s11128-019-2457-5