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

• Published in: Quantum information processing 2014-04, Vol.13 (4), p.895-907
• Main Authors: Lai, Hong, Xiao, Jinghua, Orgun, Mehmet A., Xue, Liyin, Pieprzyk, Josef
• Format: Article
• Language: English
• Subjects: Applied sciences; Classical and quantum physics: mechanics and fields; Coding, codes; Computer science; control theory; systems; Cryptography; Data Structures and Information Theory; Exact sciences and technology; Information, signal and communications theory; Mathematical Physics; Memory and file management (including protection and security); Memory organisation. Data processing; Physics; Physics and Astronomy; Quantum Computing; Quantum cryptography; Quantum information; Quantum Information Technology; Quantum Physics; Signal and communications theory; Software; Spintronics; Telecommunications and information theory
• ISSN: 1570-0755; 1573-1332
• DOI: 10.1007/s11128-013-0699-1

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.