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

Authors:
Hong Lai;Jinghua Xiao;Mehmet A. Orgun;Liyin Xue;Josef Pieprzyk
Affiliations:
School of Science, Beijing University of Posts and Telecommunications, Beijing , China 100876 and Department of Computing, Macquarie University, Sydney, Australia 2109;School of Science, Beijing University of Posts and Telecommunications, Beijing , China 100876;Department of Computing, Macquarie University, Sydney, Australia 2109;Corporate Analytics, The Australian Taxation Office, Sydney, Australia 2000;Department of Computing, Macquarie University, Sydney, Australia 2109
Venue:
Quantum Information Processing
Year:
2014

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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.