TY - JOUR
T1 - Large-capacity three-party quantum digital secret sharing using three particular matrices coding
AU - Lai, Hong
AU - Luo, Ming Xing
AU - Pieprzyk, Josef
AU - Tao, Li
AU - Liu, Zhi Ming
AU - Orgun, Mehmet A.
PY - 2016/11/1
Y1 - 2016/11/1
N2 - 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.
AB - 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.
KW - Fibonacci- and Lucas-valued orbital angular momentum (OAM) states
KW - longer destances
KW - lower error rates
KW - the first kind of Chebyshev Maps
UR - http://www.scopus.com/inward/record.url?scp=84994584930&partnerID=8YFLogxK
U2 - 10.1088/0253-6102/66/5/501
DO - 10.1088/0253-6102/66/5/501
M3 - Article
AN - SCOPUS:84994584930
SN - 0253-6102
VL - 66
SP - 501
EP - 508
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 5
ER -