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A Quantum Information Theoretical Model for Quantum Secret Sharing Schemes

Hideki Imai·Joern Mueller-Quade·Anderson C. A. Nascimento·Pim Tuyls·Andreas Winter
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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.

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Hideki Imai, Joern Mueller-Quade, Anderson C. A. Nascimento, Pim Tuyls, Andreas Winter. 2003-11-20. A Quantum Information Theoretical Model for Quantum Secret Sharing Schemes. https://arxiv.org/abs/quant-ph/0311136

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