Abstract
Quantum Key Distribution (QKD) effectively solve the problem that optical network is vulnerable to wireless network attacks by using the principle of quantum mechanics. This paper uses the QKD as a service (QaaS, i.e., multiple users can obtain the required key rate from the same QKD network infrastructure without deploying a dedicated QKD network.) framework to integrate QKD into the optical network, and proposes A QKD-integrated four-layer optical network architecture. Two key virtualization steps, Key Pool (KP) and Virtual Key Pool (VKP), are also introduced at the key distribution layer, which can provide users with better key service while ensuring the security of key distribution. In a general way, the trusted relay schemes used in QKD networks achieve the purpose of extending security by consuming additional keys. However, key relay failures often occur in QKD systems, which greatly waste quantum key resources. Therefore, in this paper, we add the quantum key recycling (QKR) mechanism and introduce the hierarchical mechanism of reusing keys, which improves the use efficiency of keys in optical networks, saves key resources and improves the encryption capability of the system. In addition, the security and efficiency analysis show that our protocol can achieve ideal results under the existing quantum technology.
Similar content being viewed by others
Data Availability
The raw/processed data required to reproduce these findings cannot be shared at this time as the data also forms part of an ongoing study.
Abbreviations
- (QLs):
-
Quantum links
- AES :
-
Advanced encryption standard
- DCN:
-
Data communication node
- KaaS :
-
Key as a service
- KP:
-
Key pool
- KS:
-
Key server
- PCh:
-
Public channel
- QCh:
-
Quantum channel
- QCN:
-
Quantum communication node
- QKD:
-
Quantum Key Distribution
- QLP:
-
QKD secured lightpath
- SKR:
-
Secret key rate
- TDCh:
-
Traditional data channel
- TRN:
-
Trusted repeater node
- VKP:
-
Virtual key pool
References
Bennett C H, Brassard G. Quantum cryptography: public-key distribution and coin tossing[C] Proc of IEEE International Conference on Computers, System and Signal Processing. Piscataway, NJ: IEEE Press, 1984. 175–179
Huawang, Q., Yuewei, D.: Verifiable (t, n) threshold quantum secret sharing using d-dimensional Bell state [J]. Inf. Process. Lett. 116(5), 351–355 (2016)
Mishra, S., Shukla, C., Pathak, A., et al.: An integrated hierarchical dynamic quantum secret sharing protocol [J]. Int. J. Theor. Phys. 54(9), 1–12 (2015)
Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A. 59(3), 1829–1834 (1999)
Li, X.H.: Quantum secure direct communication. Acta Phys. Sin. 64(16), 160307 (2015)
Deng, F.G., Ren, B.C., Li, X.H.: Quantum hyperentanglement and its applications in quantum information processing. Sci. Bull. 62(1), 46–48 (2017)
Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical Bob. Phys Rev Lett 99(14), 140501 (2007)
Li, L.Z., Qiu, D.W., Mateus, P.: Quantum secret sharing with classical bobs. J. Phys. A Math. Theor. 46(4), 045304 (2013)
Bennett, C.H., Brassard, G., Breidbart, S., Quantum Cryptography, I.I.: How to re-use a one-time pad safely even if P=NP. Natural Computing 13, 453–458 (2014). (Original manuscript 1982)
S. Fehr and L. Salvail. Quantum authentication and encryption with key recycling. In Eurocrypt, 2017. https://arxiv.org/abs/1610.05614v1
B. Skori´c and M. de Vries. Quantum Key Recycling with eight-state encoding. (The Quantum One Time Pad is more interesting than we thought). International Journal of Quantum Information, 2017. https://eprint.iacr.org/2016/1122.
Li, X., Zhao, Y., Nag, A., Yu, X., Zhang, J.: Key-Recycling Strategies in Quantum-Key-Distribution Networks. Appl. Sci. 10, 3734 (2020)
Portmann, C.: Key Recycling in Authentication. IEEE T. Inform. Theory 60, 4383–4396 (2014)
Fehr, S.; Salvail, L. Quantum authentication; encryption with key recycling. In Proceedings of the Annual International Conference on the Theory, Applications of Cryptographic Techniques, Paris, France, 30 April–4 May 2017; pp. 311–338
J. Y. Cho, T. Szyrkowiec, and H. Griesser, “Quantum key distribution as a service,” in Proceedings of QCrypt 2017, Cambridge, UK, 2017
Mao, Y., Wang, B.-X., Zhao, C., Wang, G., Wang, R., Wang, H., Zhou, F., Nie, J., Chen, Q., Zhao, Y., Zhang, Q., Zhang, J., Chen, T.-Y., Pan, J.-W.: Integrating quantum key distribution with classical communications in backbone fiber network. Opt. Express 26(5), 6010–6020 (2018)
Cao, Y., Zhao, Y., Wang, J., Yu, X., Ma, Z., Zhang, J.: SDQaaS: Software defined networking for quantum key distribution as a service. Opt. Express 27(5), 6892–6909 (2019)
A. Aguado, V. Lopez, J. Martinez-Mateo, M. Peev, D. Lopez, and V. Martin, “GMPLS network control plane enabling quantum encryption in end-to-end services,” in Proceedings of ONDM 2017, Budapest, Hungary, 2017
Cao, Y., Zhao, Y., Yu, X., Wu, Y.: Resource assignment strategy in optical networks integrated with quantum key distribution. J. Opt. Commun. Netw. 9(11), 995–1004 (2017)
Kauffman, L.H., Lomonaco, S.J.: Comparing quantum entanglement and topological entanglement. New. J. Phys. 4(1), 73 (2002)
C.Wang, Z. Li, and H. Zhu, Flexible for Multiple Equations about GHZ States and a Prototype Case, International Journal of Theoretical Physics, 2021
Portmann, C.: Key recycling in authentication. IEEE Transactions Information Theory 60(7), 4383–4396 (2014)
Y. Cao, Y Zhao, J Wang, KaaS: Key as a service over quantum key distribution integrated optical networks, IEEE Communications Magazine (Volume: 57, Issue: 5, May 2019)
Aguado, A., et al.: Secure NFV Orchestration over an SDN-Controlled Optical Network with Time-Shared Quantum Key Distribution Resources. J. Lightwave Technol. 35(8), 1357–1362 (2017)
Cao, Y., Zhao, Y., Yu, X., Wu, Y.: “Resource assignment strategy in optical networks integrated with quantum key distribution”,IEEE/OSA. J. Opt. Commun. Netw. 9(11), 995–1004 (2017)
ON Akande, OC Abikoye, AA Kayode, OT Aro & OR Ogundokun, A Dynamic Round Triple Data Encryption Standard Cryptographic Technique for Data Security, International Conference on Computational Science and Its Applications, ICCSA 2020: Computational Science and Its Applications – ICCSA 2020 pp 487–499
Vuppala, A., Roshan, R.S., Nawaz, S., Ravindra, J.V.R.: An Efficient Optimization and Secured Triple Data Encryption Standard Using Enhanced Key Scheduling Algorithm. Procedia Computer Science 171, 1054–1063 (2020)
Peev, M., et al.: The SECOQC Quantum Key Distribution Network in Vienna. New J. Phys. 11(7), 075001 (2009)
Y Cao, Y Zhao, J Wang, KaaS: Key as a service over quantum key distribution integrated optical networks, IEEE Communications Magazine (Volume: 57, Issue: 5, May 2019)
Tian-Yu Ye1, Chong-Qiang Ye, Measure-Resend Semi-Quantum Private Comparison Without Entanglement, International Journal of Theoretical Physics 57: 3819–3834 (2018)
Sun, Yuhua; Yan, Lili; Chang, Yan; Zhang, Shibin; Shao, Tingting; Zhang, Yan (2018). Two semi-quantum secure direct communication protocols based on Bell states. Modern Physics Letters A, Vol. 34 (2019) 1950004 (10 pages)
Tsai, C.L., Hwang, T.: Semi-quantum key distribution robust against combined collective noise. International Journal of Theoretical Physics 57, 3410–3418 (2018)
Zhou, N.R., Zhu, K.N.: XF Zou, Multi-Party Semi-Quantum Key Distribution Protocol With Four-Particle Cluster States. Ann. Phys. 531(8), 1800520 (2019)
Li, Jian, Li, Hengji, Wang, Na., Li, Chaoyang, Hou, Yanyan, Chen, Xiubo, Yang, Yuguang: A Quantum Key Distribution Protocol Based on the EPR Pairs and its Simulation. Mobile Networks and Applications 26, 620–628 (2021)
Zhang, J., Itzler, M.A., Zbinden, H., Pan, J.-W.: Advances in InGaAs/InP single-photon detector systems for quantum communication. Light Sci. Appl. 4(5), e286 (2015)
Y Cao, Y Zhao, Q Wang, J Zhang, et al. The evolution of quantum key distribution networks: On the road to the qinternet, IEEE Communications Surveys & Tutorials, 24 2
Sibson, P., Kennard, J.E., Stanisic, S., Erven, C., O’Brien, J.L., Thompson, M.G.: Integrated silicon photonics for high-speed quantum key distribution. Optica 4, 172 (2017)
P. T.K., R. T., M. D.G., and al, “A photonic integrated quantum secure communication system.” Nature (2021)
Cao, Y., Zhao, Y., Colman-Meixner, C., Yu, X., Zhang, J.: Key on demand (KoD) for software-defined optical networks secured by quantum key distribution (QKD). Opt. Express 25(22), 26453–26467 (2017)
Acknowledgements
This work was supported by the National Natural Science Foundation of China: Research on Precision PCR Instrument Model and Its Application in Genetic Engineering (Grant No. 62172330).
Author information
Authors and Affiliations
Contributions
Hongfeng Zhu: Creativity and Revised the manuscrip Liuyi Chen: Design and Writing Yuguang Xu: Conception, Prepared Figures and Revised the manuscript All authors reviewed the manuscript
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Xu, Y., Chen, L. & Zhu, H. Quantum Key Distribution Scheme with Key Recycling in Integrated Optical Network. Int J Theor Phys 62, 103 (2023). https://doi.org/10.1007/s10773-023-05376-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10773-023-05376-y