A Quantum Information Theoretical Model for Quantum Secret Sharing Schemes
Hideki Imai, Mueller-Quade, Joern, Anderson C. A. Nascimento, Pim Tuyls, Andreas J. Winter · arXiv (Cornell University) · 2003
In this paper we introduce a quantum information theoretical model for quantum secret sharing schemes. We show that quantum information theory provides a unifying framework for the study of these schemes. We prove that the information theoretical requirements for a class of quantum secret sharing schemes reduce to only one requirement (the recoverability condition) as a consequence of the no-cloning principle. We give also a shorter proof of the fact that the size of the shares in a quantum secret sharing scheme must be at least as large as the secret itself.