A Quantum Information Theoretical Model for Quantum Secret Sharing Schemes
Quantum Physics
2017-08-01 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/0311136,
title = {A Quantum Information Theoretical Model for Quantum Secret Sharing Schemes},
author = {Hideki Imai and Joern Mueller-Quade and Anderson C. A. Nascimento and Pim Tuyls and Andreas Winter},
journal= {arXiv preprint arXiv:quant-ph/0311136},
year = {2017}
}