Quantum secret sharing schemes and reversibility of quantum operations

@article{Ogawa2005QuantumSS,
  title={Quantum secret sharing schemes and reversibility of quantum operations},
  author={Tomohiro Ogawa and A. Sasaki and Mitsugu Iwamoto and Hirosuke Yamamoto},
  journal={Physical Review A},
  year={2005},
  volume={72},
  pages={032318}
}
Quantum secret sharing schemes encrypting a quantum state into a multipartite entangled state are treated. The lower bound on the dimension of each share given by Gottesman [Phys. Rev. A 61, 042311 (2000)] is revisited based on a relation between the reversibility of quantum operations and the Holevo information. We also propose a threshold ramp quantum secret sharing scheme and evaluate its coding efficiency. 
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