Abstract
Continuous-variable quantum communication protocols have gained much attention for their ability to transmit more information with lower cost. To break through the bottleneck of quantum network coding schemes, continuous-variable quantum network coding (CVQNC) schemes were proposed. In spite of network throughput improvement, CVQNC also brings on security problems such as pollution attacks, in which case errors are accumulated and spread to all downstream nodes. In this paper, we propose a continuous-variable quantum network coding scheme with quantum homomorphic signature to resist pollution attacks. The scheme utilizes pre-shared quantum entanglement and classical communication to implement perfect crossing transmission of two quantum states. By combining two quantum signatures of classical messages generated by source nodes, the scheme will generate a homomorphic signature, which is used to verify the identities of different data sources in a quantum network. Security analysis shows the proposed scheme is secure against forgery and repudiation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Ahlswede, R., Cai, N., Li, S.R., Yeung, R.W.: Network information flow. IEEE Trans. Inf. Theory 46(4), 1204–1216 (2000)
Hayashi, M., Iwama, K., Nishimura, H., Raymond, R., Yamashita, S.: Quantum network coding. In: Thomas, W., Weil, P. (eds.) STACS 2007. LNCS, vol. 4393, pp. 610–621. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-70918-3_52
Hayashi, M.: Prior entanglement between senders enables perfect quantum network coding with modification. Phys. Rev. A 76(4), 1–5 (2007)
Leung, D., Oppenheim, J., Winter, A.: Quantum network communication-the butterfly and beyond. IEEE Trans. Inf. Theory 56, 3478–3490 (2010)
Satoh, T., Gall, F.L., Imai, H.: Quantum network coding for quantum repeaters. Phys. Rev. A 86(3), 1–8 (2012)
Shang, T., Li, K., Liu, J.W.: Continuous-variable quantum network coding for coherent states. Quantum Inf. Process. 16(4), 107 (2017)
Shang, T., Zhao, X.J., Wang, C., Liu, J.W.: Quantum homomorphic signature. Quantum Inf. Process. 14(1), 393–410 (2015)
Luo, Q.B., Yang, G.W., She, K., Li, X.Y., Fang, J.B.: Quantum homomorphic signature based on Bell-state measurement. Quantum Inf. Process. 15(12), 5051–5061 (2016)
Li, K., Shang, T., Liu, J.W.: Continuous-variable quantum homomorphic signature. Quantum Inf. Process. 16(10), 246 (2017)
Zukowski, M., et al.: Event-ready-detectors Bell experiment via entanglement swapping. Phys. Rev. Lett. 71(26), 4287 (1993)
Acknowledgment
This project was supported by the National Natural Science Foundation of China (No. 61571024) for valuable helps.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Shang, T., Li, K., Chen, R., Liu, J. (2019). Continuous-Variable Quantum Network Coding Against Pollution Attacks. In: Feld, S., Linnhoff-Popien, C. (eds) Quantum Technology and Optimization Problems. QTOP 2019. Lecture Notes in Computer Science(), vol 11413. Springer, Cham. https://doi.org/10.1007/978-3-030-14082-3_17
Download citation
DOI: https://doi.org/10.1007/978-3-030-14082-3_17
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-14081-6
Online ISBN: 978-3-030-14082-3
eBook Packages: Computer ScienceComputer Science (R0)