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

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…

• NN
  National Natural Science Foundation of China

  Awards: 61401371, 61303039, XDJK2015C107, No. 61303039, SWU115008
• NC
  Narodowym Centrum Nauki

  Award: UMO-2014
• SU
  Southwest University

  Award: SWU116007
• FR
  Fundamental Research Funds for the Central Universities

  Awards: No. XDJK2016C043, SWU115008, XDJK2016C043, XDJK2015C107