Large-capacity three-party quantum digital secret sharing using three particular matrices coding

Hong Lai*, Ming Xing Luo, Josef Pieprzyk, Li Tao, Zhi Ming Liu, Mehmet A. Orgun

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In this paper, we develop a large-capacity quantum digital secret sharing (QDSS) scheme, combined the Fibonacci- and Lucas-valued orbital angular momentum (OAM) entanglement with the recursive Fibonacci and Lucas matrices. To be exact, Alice prepares pairs of photons in the Fibonacci- and Lucas-valued OAM entangled states, and then allocates them to two participants, say, Bob and Charlie, to establish the secret key. Moreover, the available Fibonacci and Lucas values from the matching entangled states are used as the seed for generating the Fibonacci and Lucas matrices. This is achieved because the entries of the Fibonacci and Lucas matrices are recursive. The secret key can only be obtained jointly by Bob and Charlie, who can further recover the secret. Its security is based on the facts that nonorthogonal states are indistinguishable, and Bob or Charlie detects a Fibonacci number, there is still a twofold uncertainty for Charlie' (Bob') detected value.

Original languageEnglish
Pages (from-to)501-508
Number of pages8
JournalCommunications in Theoretical Physics
Volume66
Issue number5
DOIs
Publication statusPublished - 1 Nov 2016

Keywords

  • Fibonacci- and Lucas-valued orbital angular momentum (OAM) states
  • longer destances
  • lower error rates
  • the first kind of Chebyshev Maps

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