A verifiable framework of entanglement-free quantum secret sharing with information-theoretical security

TL;DR

This paper introduces a verifiable framework for entanglement-free quantum secret sharing schemes that enhances security, scalability, and cheat detection, advancing the development of practical quantum networks.

Contribution

It proposes a novel verifiable framework using entanglement-free states for ($t, n$)-QSS schemes, addressing security flaws and enabling effective cheating detection.

Findings

Framework achieves information-theoretical security.

Enhances scalability and flexibility of QSS schemes.

Provides mechanisms for cheat detection in entanglement-free settings.

Abstract

Quantum secret sharing (QSS) schemes without entanglement have huge advantages in scalability and are easier to realize as they only require sequential communications of a single quantum system. However, these schemes often come with drawbacks such as exact ($n, n$) structure, security flaws and absences of effective cheating detections. To address these problems, we propose a verifiable framework by utilizing entanglement-free states to construct ($t, n$)-QSS schemes. Our work is the heuristic step towards information-theoretical security in entanglement-free QSS, and it sheds light on how to establish effective verification mechanism against cheating. As a result, the proposed framework has a significant importance in constructing QSS schemes for versatile applications in quantum networks due to its intrinsic scalability, flexibility and information theoretical security.