Dual compressible hybrid quantum secret sharing schemes based on extended unitary operations

Hong Lai*, Mehmet Orgun, Liyin Xue, Jinghua Xiao, Josef Pieprzyk

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

3 Citations (Scopus)
25 Downloads (Pure)

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.

Original languageEnglish
Title of host publicationQuantum Information and Computation XII
EditorsEric Donkor, Andrew R. Pirich, Howard E. Brandt, Michael R. Frey, Samuel J. Lomonaco Jr., John M. Myers
Place of PublicationWashington, DC
PublisherSPIE
Pages1-13
Number of pages13
Volume9123
ISBN (Print)9781628410600
DOIs
Publication statusPublished - 2014
EventQuantum Information and Computation XII - Baltimore, MD, United States
Duration: 8 May 20149 May 2014

Other

OtherQuantum Information and Computation XII
CountryUnited States
CityBaltimore, MD
Period8/05/149/05/14

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