Abstract
In this paper, we propose a scheme of quantum operation teleportation (QOT) utilizing local operations and five-qubit entangled state to achieve mutual authentication and key agreement for two clients in different realms. On the one hand, the scheme not only has the characteristics of the arbitrariness of the relevant operation, the certainty of sharing success and the constancy of entangled resources, but also realizes the mutual authentication among the four parties, ensuring the reliability and security of the task. On the other hand, considering the complexity of the operation, we complete the current QOT task as a whole, so the operation difficulty is low and relatively simple. In summary, our analysis is completely feasible under the existing technical conditions and this proposed scheme has practical significance.
Similar content being viewed by others
References
Saha, D., Panigrahi, P.K.: N-qubit quantum teleportation, information splitting and superdense coding through the composite GHZ-bell channel. Quantum Inf. Process. 11, 615–628 (2012)
Hou, K., Bao, D.Q., Zhu, C.J., Yang, Y.P.: Controlled teleportation of an arbitrary two-qubit entanglement in noises environment. Quantum Inf. Process. 18, 104 (2019)
Zhang, Z.J., Li, Y., Man, Z.X.: Multiparty quantum secret sharing. Phys. Rev. A. 71, 044301 (2005)
Chen, X., Jiang, M., Chen, X.P., Li, H.: Quantum state sharing of an arbitrary three-qubit state by using three sets of W-class states. Quantum Inf. Process. 12, 2405–2416 (2013)
Xiu, X.M., Dong, L., Gao, Y.J., Chi, F.: Quantum key distribution protocols with six-photon states against collective noise. Opt. Commun. 282, 4171–4174 (2009)
Tsai, C.W., Yang, C.W.: Cryptanalysis and improvement of the semi-quantum key distribution robust against combined collective noise. Int. J. Theor. Phys. 58, 2244–2250 (2019)
Wang, Z.Y., Wang, D., Han, L.F.: Optimal remote preparation of a four-qubit entangled cluster-type state via two non-maximally entangled GHZ-type states. Int. J. Theor. Phys. 55, 4371–4383 (2016)
Wei, J.H., et al.: Deterministic joint remote preparation of arbitrary multi-qubit states via three-qubit entangled states. Quantum Inf. Process. 18, 237 (2019)
Yadav, P., Srikanth, R., Pathak, A.: Two-step orthogonal-state-based protocol of quantum secure direct communication with the help of order-rearrangement technique. Quantum Inf. Process. 13, 2731–2743 (2014)
He, Y.F., Ma, W.P.: Multiparty quantum secure direct communication immune to collective noise. Quantum Inf. Process. 18, 4 (2019)
Huelga, S.F., Vaccaro, J.A., Chefles, A.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A. 63, 042303 (2001)
Zhang, Z.J., Cheung, C.Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B. 44, 165508 (2011)
Peng, J.: Tripartite operation sharing with a six-particle maximally entangled state. Quantum Inf. Process. 14, 4255–4262 (2015)
Zhou, S.Q., Bai, M.Q., Zhang, C.Y.: Analysis and construction of four-party deterministic operation sharing with a generalized seven-qubit Brown state. Mod. Phys. Lett. B. 31, 1750190 (2017)
Wang, A.M.: Remote implementations of partially unknown quantum operations of multiqubits. Phys. Rev. A. 74, 032317 (2007)
Zhao, N.B., Wang, A.M.: Hybrid protocol of remote implementations of quantum operations. Phys. Rev. A. 76, 062317 (2007)
Xing, H., Liu, D.C., Xing, P.F., Xie, C.M., Liu, X.S., Zhang, Z.J.: Deterministic tripartite sharing of eight restricted sets of single-qubit operations with two bell states or a GHZ state. Int. J. Quantum Inf. 12, 1450012 (2014)
Ji, Q.B., Liu, Y.M., Yin, X.F., Liu, X.S., Zhang, Z.J.: Quantum operation sharing with symmetric and asymmetric W states. Quantum Inf. Process. 12, 2453–2464 (2013)
Ji, Q.B., Liu, Y.M., Xie, C.M., Yin, X.F., Zhang, Z.J.: Tripartite quantum operation sharing with two asymmetric three-qubit W states in five entanglement structures. Quantum Inf. Process. 13, 1659–1676 (2014)
Xing, H.: Four-party deterministic operation sharing with six-qubit cluster state. Quantum Inf. Process. 13, 1553–1562 (2014)
Duan, Y.J., Zha, X.W.: Remotely sharing a single-qubit operation via a six-qubit entangled state. Int. J. Theor. Phys. 54, 877–883 (2015)
Ji, Q.B., Liu, Y.M., Liu, X.S., Yin, X.F., Zhang, Z.J.: Single-Qubit operation sharing with bell and W product states. Commun. Theor. Phys. 60, 165–170 (2013)
Brown, I.D.K., Stepney, S., Sudbery, A., Braunstein, S.L.: Searching for highly entangled multi-qubit states. J. Phys. A. 38, 1119–1131 (2005)
Yuan, H., Zhang, W.B., Yin, X.F.: T simplistic quantum operation sharing with a five-qubit genuinely entangled state. Quantum Inf. Process. 19, 122 (2020)
Ye, B.L., Liu, Y.M., Liu, X.S., Zhang, Z.J.: Remotely sharing a single-qubit operation with a five-qubit genuine state. Chin. Phys. Lett. 30, 020301 (2013)
Peng, J.: Tripartite operation sharing with five-qubit Brown state. Quantum Inf. Process. 15, 2465–2473 (2016)
Deng, F.G., Zhou, H.Y., Long, G.L.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A. 337, 329–334 (2005)
Zhang, Z.J., et al.: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys. Rev. A. 72, 044302 (2005)
Xiao, L., Long, G.L., et al.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A. 69, 052307 (2004)
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A. 65, 032302 (2002)
Zhou, P., Li, X.H., et al.: Multiparty quantum secret sharing with pure entangled states and decoy photons. Chin. Phys. Lett. 22, 1049 (2005)
Li, C.Y., Li, X.H., et al.: Efficient quantum cryptography network without entanglement and quantum memory. Chin. Phys. Lett. 23, 2896 (2006)
Single-Qubit Operation Sharing with Bell and W Product States[J]. Communications in Theoretical Physics, 60(2), 165–170 (2013)
Ji, Q., Liu, Y., Yin, X., Liu, X., Zhang, Z.: Quantum operation sharing with symmetric and asymmetric W states[J]. Quantum Inf. Process. 12(7), 2453–2464 (2013)
Yuan H , Zhang W B, Yin X F. Simplistic quantum operation sharing with a five-qubit genuinely entangled state. Quantum Inf Process 19, 122 (2020)
Acknowledgements
This work was supported by the Liaoning Provincial Natural Science Foundation of China (Grant No. 2019-MS-286), and Basic Scientific Research Project of Liaoning Provincial Department of Education (Grant No. LJC202007). Construction of professional practice conditions and practice bases about electronic information engineering (industrial Internet of things) under the background of new engineering (School-Enterprise Cooperation) Major under the New Engineering Background (Grant No. 202002133020).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ma, X., Hur, J., Li, Z. et al. Quantum Mutual Authentication Key Agreement Scheme Using Five-Qubit Entanglement towards Different Realm Architecture. Int J Theor Phys 60, 1933–1948 (2021). https://doi.org/10.1007/s10773-021-04812-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-021-04812-1