Exploring Quantum Supremacy in Access Structures of Secret Sharing by Coding Theory

TL;DR

This paper investigates quantum secret sharing schemes with unique access structures that cannot be replicated by classical secret sharing, expanding understanding of quantum advantages in cryptography.

Contribution

It introduces new quantum secret sharing schemes with access structures that are impossible to realize classically, demonstrating quantum superiority in secret sharing.

Findings

Quantum secret sharing schemes with unique access structures

Certain access structures are impossible to realize classically

Quantum schemes expand cryptographic capabilities

Abstract

We consider secret sharing schemes with a classical secret and quantum shares. One example of such schemes was recently reported whose access structure cannot be realized by any secret sharing schemes with classical shares. In this paper, we report further quantum secret sharing schemes whose access structures cannot be realized by any classical secret sharing schemes.