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Quantum States for Perfectly Secure Secret Sharing
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- Authors
- Dong Pyo Chi, Jeong Woon Choi, Jeong San Kim, Tae Wan Kim, Soo Joon Lee
- Issue Date
- 2008-07
- Citation
- Physical Review A : Atomic, Molecular, and Optical Physics, v.78, no.1, pp.1-4
- ISSN
- 1050-2947
- Publisher
- American Physical Society(APS)
- Language
- English
- Type
- Journal Article
- Project Code
- 08MK1100, Development of next generation security technology, Cho Hyun Sook
- Abstract
- In this paper, we investigate what kinds of quantum states are feasible to perform perfectly secure secret sharing, and present its necessary and sufficient conditions. We also show that the states are bipartite distillable for all bipartite splits, and hence the states could be distillable into the Greenberger-Horne-Zeilinger state. We finally exhibit a class of secret-sharing states, which have an arbitrarily small amount of bipartite distillable entanglement for a certain split. © 2008 The American Physical Society.
- KSP Keywords
- Greenberger-Horne-Zeilinger state, Necessary and sufficient conditions, Quantum states, secret sharing(SS)