International Journal of Theoretical Physics

, Volume 55, Issue 9, pp 3807–3815 | Cite as

Quantum Ramp Secret Sharing Scheme and Quantum Operations

Article
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Abstract

In order to improve the efficiency of quantum secret sharing, quantum ramp secret sharing schemes were proposed (Ogawa et al., Phys. Rev. A 72, 032318 [2005]), which had a trade-off between security and coding efficiency. In quantum ramp secret sharing, partial information about the secret is allowed to leak to a set of participants, called an intermediate set, which cannot fully reconstruct the secret. This paper revisits the size of a share in the quantum ramp secret scheme based on a relation between the quantum operations and the coherent information. We also propose an optimal quantum ramp secret sharing scheme.

Keywords

Quantum secret sharing Ramp secret sharing Coherent information 
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Notes

Acknowledgments

his work was supported by Postdoctoral Science Foundation of China under grant No.2015M582686 and No.2015M580805.

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.School of Electronic & Control EngineeringChang’an UniversityXi’anChina
  2. 2.Communication and Information Engineering CollegeXi’an University of Science and TechnologyXi’anChina

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