[an error occurred while processing this directive] Communications in Theoretical Physics 2016, 66(05) 501-508 PACS:   03.67.Dd;03.67.Ac;03.67.Hk   ISSN: 0253-6102  CN: 11-2592/O3

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

Large-Capacity Three-Party Quantum Digital Secret Sharing Using Three Particular Matrices Coding

Hong Lai1, Ming-Xing Luo2, Josef Pieprzyk3,4, Li Tao1, Zhi-Ming Liu1, Mehmet A. Orgun5,6

1. School of Computer and Information Science, Southwest University, Chongqing 400715, China;
2. Information Security and National Computing Grid Laboratory, School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China;
3. School of Electrical Engineering and Computer Science, Queensland University of Technology, Brisbane, Australia and QLD 4000, Australia;
4. Institute of Computer Science, Polish Academy of Sciences, Warsaw, 01-248, Poland;
5. Department of Computing, Macquarie University, Sydney, NSW 2109, Australia;
6. Faculty of Information Technology, Macau University of Science and Technology, Avenida Wai Long, Taipa 519020, Macau

(Received 2016-07-04 Revised 2016-09-12)

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.

 
PACS: 03.67.Dd;03.67.Ac;03.67.Hk
 
Keywords Fibonacci-and Lucas-valued orbital angular momentum (OAM) states   the first kind of Chebyshev maps   lower error rates   longer destances  
 
 

 
 
 

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