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Hybrid threshold adaptable quantum secret sharing scheme with reverse Huffman-Fibonacci-tree coding

机译:具有逆霍夫曼-斐波纳契树编码的混合阈值自适应量子秘密共享方案

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摘要

With prevalent attacks in communication, sharing a secret between communicating parties is an ongoing challenge. Moreover, it is important to integrate quantum solutions with classical secret sharing schemes with low computational cost for the real world use. This paper proposes a novel hybrid threshold adaptable quantum secret sharing scheme, using an m-bonacci orbital angular momentum (OAM) pump, Lagrange interpolation polynomials, and reverse Huffman-Fibonacci-tree coding. To be exact, we employ entangled states prepared by m-bonacci sequences to detect eavesdropping. Meanwhile, we encode m-bonacci sequences in Lagrange interpolation polynomials to generate the shares of a secret with reverse Huffman-Fibonacci-tree coding. The advantages of the proposed scheme is that it can detect eavesdropping without joint quantum operations, and permits secret sharing for an arbitrary but no less than threshold-value number of classical participants with much lower bandwidth. Also, in comparison with existing quantum secret sharing schemes, it still works when there are dynamic changes, such as the unavailability of some quantum channel, the arrival of new participants and the departure of participants. Finally, we provide security analysis of the new hybrid quantum secret sharing scheme and discuss its useful features for modern applications.
机译:在通信中普遍存在攻击时,在通信双方之间共享秘密是一个持续的挑战。此外,重要的是将量子解决方案与具有低计算成本的经典秘密共享方案集成在一起,以供实际使用。本文提出了一种新的混合阈值自适应量子秘密共享方案,使用m-bonacci轨道角动量(OAM)泵,Lagrange插值多项式和反向Huffman-Fibonacci树编码。确切地说,我们使用由m-bonacci序列准备的纠缠状态来检测窃听。同时,我们在Lagrange插值多项式中对m-bonacci序列进行编码,以使用反向Huffman-Fibonacci树编码来生成秘密份额。所提出的方案的优点在于,它可以在没有联合量子运算的情况下检测到窃听,并允许秘密共享给带宽低得多的经典参与者的任意但不少于阈值的数目。而且,与现有的量子秘密共享方案相比,当存在动态变化(例如某些量子通道不可用,新参与者的到来和参与者的离开)时,它仍然可以工作。最后,我们提供了对新的混合量子秘密共享方案的安全性分析,并讨论了其在现代应用中的有用功能。

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