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Proceedings Paper

Dual compressible hybrid quantum secret sharing schemes based on extended unitary operations
Author(s): Hong Lai; Mehmet Orgun; Liyin Xue; Jinghua Xiao; Josef Pieprzyk
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Paper Abstract

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.

Paper Details

Date Published: 28 May 2014
PDF: 13 pages
Proc. SPIE 9123, Quantum Information and Computation XII, 912309 (28 May 2014); doi: 10.1117/12.2052886
Show Author Affiliations
Hong Lai, Macquarie Univ. (Australia)
Beijing Univ. of Posts and Telecommunications (China)
Mehmet Orgun, Macquarie Univ. (Australia)
Liyin Xue, Australian Taxation Office (Australia)
Jinghua Xiao, Beijing Univ. of Posts and Telecommunications (China)
Josef Pieprzyk, Macquarie Univ. (Australia)

Published in SPIE Proceedings Vol. 9123:
Quantum Information and Computation XII
Eric Donkor; Andrew R. Pirich; Howard E. Brandt; Michael R. Frey; Samuel J. Lomonaco; John M. Myers, Editor(s)

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