A (k, n)-threshold dynamic quantum secure multiparty multiplication protocol

作者：Li, Fulin^*; Hu, Hang; Zhu, Shixin

来源：Quantum Information Processing, 2022, 21(12): 394.

DOI：10.1007/s11128-022-03743-y

• Quantum secure multiparty multiplication
• Dynamic
• Mutually unbiased bases
• Shamir's threshold scheme
• Security

As one of the primitive operations of quantum cryptography, quantum secure multiparty multiplication plays an important role in practical applications. In this paper, we propose a (k, n)-threshold dynamic quantum secure multiparty multiplication protocol. (i) Based on Shamir's threshold scheme, the threshold (k, n) can be implemented; (ii) In the multiparty multiplication phase, the cheating behavior of participants can be detected by the one-to-one correspondence of hash values; (iii) Any m participants can dynamically join or exit during the execution of the protocol. Moreover, the method of this paper can also achieve dynamic quantum secure multiparty summation. Further, the security analysis shows that our protocol is resistant to intercept-resend attack, entangle-measure attack, Trojan horse attack, and participant attack.