A Generalized Information Theoretical Model for Quantum Secret Sharing

TL;DR

This paper extends the theoretical framework of quantum secret sharing by introducing a generalized model that encompasses more quantum access structures, enhancing the flexibility and security analysis of such schemes.

Contribution

It proposes a generalized quantum secret sharing model based on quantum access structures, broadening the scope beyond previous models.

Findings

More quantum access structures can be realized with the new model

The model's validity is demonstrated through analysis of key access structures

Security considerations are discussed with simple examples

Abstract

An information theoretical model for quantum secret sharing was introduced by A. C. A. Nascimento et al.[Quantum Inf. Comput. Vol.5,1,205,68-79(2003)], which was analyzed by quantum information theory. In this paper, we analyze this information theoretical model using the properties of the quantum access structure. By the analysis we propose a generalized model definition for the quantum secret sharing schemes. In our model, there are more quantum access structures which can be realized by our generalized quantum secret sharing schemes than those of the previous one. In addition, we also analyse two kinds of important quantum access structures to illustrate the existence and rationality of the generalized quantum secret sharing schemes and consider the security of the scheme by simple examples.