Tomohiro Ogawa, Akira Sasaki, Mitsugu Iwamoto, Hirosuke Yamamoto
Published 2005-04-30Version 1
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 \textbf{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.
Computing Stabilized Norms for Quantum Operations via the Theory of Completely Bounded Maps
Information, fidelity, and reversibility in single-qubit measurements
Physical realizations of quantum operations
