摘要： 基于中国剩余定理和Bell态,构造了一种可验证的秘密共享方案。在分发阶段,分发者Alice通过量子信道将秘密份额分发给参与者。在恢复阶段,Alice产生一个2 bit的Bell态,参与者与Alice对该Bell态进行一系列酉变换以重构秘密信息。分析结果表明,该方案能抵抗截获-重发攻击、纠缠-测量攻击、参与者攻击和特洛伊木马攻击。

关键词: 秘密共享, 中国剩余定理, Bell态, 验证信息, 量子信息, Hash函数

Abstract: This paper constructs a class of verifiable secret sharing scheme based on Chinese Remainder Theorem and Bell states.In the distribution phase,Alice distributes the shares to the participants through the quantum secure channel.In the recovery phase,Alice generates a two-bit Bell state in Hilbert space,and then the participants and Alice perform some unitary operations on the Bell state to reconstruct the secret.Analysis results show the scheme can resist intercepted retransmission attack,entangled measunement attack,participants attack,and trojan horse attack.

Key words: secret sharing, Chinese Remainder Theorem, Bell state, verification information, quantum information, Hash function

中图分类号: 

• TP309