Quantum secret sharing schemes and reversibility of quantum operations

Tomohiro Ogawa, Akira Sasaki, Mitsugu Iwamoto, and Hirosuke Yamamoto

PHYSICAL REVIEW A, Vol. 72, No.3, pp.032318-1--7, Sept. 2005

  • 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.
  • DOI: 10.1103/PhysRevA.72.032318