Dual compressible hybrid quantum secret sharing schemes based on extended unitary operations
Lai, Hong, Orgun, Mehmet A., Xue, Liyin, Xiao, Jinghua, & Pieprzyk, Josef (2014) Dual compressible hybrid quantum secret sharing schemes based on extended unitary operations. In Frey, Michael R., Lomonaco, Samuel J., Myers, John M., Donkor, Eric, Pirich, Andrew R., & Brandt, Howard E. (Eds.) Proceedings of SPIE, Bellingham, WA, Baltimore, MD, The United States of America, pp. 1-13.
A crucial issue with hybrid quantum secret sharing schemes is the amount of data that is allocated to the participants. The smaller the amount of allocated data, the better the performance of a scheme. Moreover, quantum data is very hard and expensive to deal with, therefore, it is desirable to use as little quantum data as possible. To achieve this goal, we first construct extended unitary operations by the tensor product of n, n ≥ 2, basic unitary operations, and then by using those extended operations, we design two quantum secret sharing schemes. The resulting dual compressible hybrid quantum secret sharing schemes, in which classical data play a complementary role to quantum data, range from threshold to access structure. Compared with the existing hybrid quantum secret sharing schemes, our proposed schemes not only reduce the number of quantum participants, but also the number of particles and the size of classical shares. To be exact, the number of particles that are used to carry quantum data is reduced to 1 while the size of classical secret shares also is also reduced to l−2 m−1 based on ((m+1, n′)) threshold and to l−2 r2 (where r2 is the number of maximal unqualified sets) based on adversary structure. Consequently, our proposed schemes can greatly reduce the cost and difficulty of generating and storing EPR pairs and lower the risk of transmitting encoded particles.
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|Item Type:||Conference Paper|
|Keywords:||Dual compressible hybrid quantum secret sharing schemes, Extended unitary operations, Access structure, ((m + 1, n′)) threshold, Adversary structure|
|Divisions:||Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Copyright Owner:||Copyright 2014, Society of Photo-Optical Instrumentation Engineers|
|Deposited On:||12 Mar 2015 00:53|
|Last Modified:||12 Mar 2015 22:28|
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