title: Hybrid threshold adaptable quantum secret sharing scheme with reverse Huffman-Fibonacci-tree coding.
abstract: 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.
authors: School of Computer and Information Science, Southwest University, Chongqing 400715, China.
authors: Hong
authors: H
authors: Lai
authors: School of Information Technology, Deakin University, Geelong, VIC, 3220, Australia.
authors: Jun
authors: J
authors: Zhang
authors: School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China.
authors: Ming-Xing
authors: MX
authors: Luo
authors: School of Information Technology, Deakin University, Geelong, VIC, 3220, Australia.
authors: Lei
authors: L
authors: Pan
authors: School of EE&CS, Queensland University of Technology, Brisbane, Australia.|Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland.
authors: Josef
authors: J
authors: Pieprzyk
authors: School of Computer and Information Science, Southwest University, Chongqing 400715, China.
authors: Fuyuan
authors: F
authors: Xiao
authors: Department of Computing, Macquarie University, Sydney, NSW 2109, Australia.|Faculty of Information Technology, Macau University of Science and Technology, Avenida Wai Long, Taipa, 999078, Macau.
authors: Mehmet A
authors: MA
authors: Orgun