Quantum direct secret sharing with efficient eavesdropping-check and authentication based on distributed fountain codes

Hong Lai*, Jinghua Xiao, Mehmet A. Orgun, Liyin Xue, Josef Pieprzyk

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We propose to use a simple and effective way to achieve secure quantum direct secret sharing. The proposed scheme uses the properties of fountain codes to allow a realization of the physical conditions necessary for the implementation of no-cloning principle for eavesdropping-check and authentication. In our scheme, to achieve a variety of security purposes, nonorthogonal state particles are inserted in the transmitted sequence carrying the secret shares to disorder it. However, the positions of the inserted nonorthogonal state particles are not announced directly, but are obtained by sending degrees and positions of a sequence that are pre-shared between Alice and each Bob. Moreover, they can confirm that whether there exists an eavesdropper without exchanging classical messages. Most importantly, without knowing the positions of the inserted nonorthogonal state particles and the sequence constituted by the first particles from every EPR pair, the proposed scheme is shown to be secure.

Original languageEnglish
Pages (from-to)895-907
Number of pages13
JournalQuantum Information Processing
Volume13
Issue number4
DOIs
Publication statusPublished - Apr 2014

Keywords

  • Authentication
  • EPR pairs
  • Fountain codes
  • Nonorthogonal state particles
  • The efficiency of eavesdropping-check

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