Quantum secret sharing based on Smolin states alone

TL;DR

This paper introduces a new quantum secret sharing protocol using Smolin states alone, demonstrating its security against known attacks and proposing an experimental implementation scheme.

Contribution

It presents a novel, secure QSS protocol based solely on Smolin states and provides a feasible experimental setup for realization.

Findings

The protocol is secure against known cheating strategies.

It is feasible to implement the protocol experimentally.

Uses bound entangled Smolin states for secure secret sharing.

Abstract

It was indicated [Yu 2007 Phys. Rev. A 75 066301] that a previous proposed quantum secret sharing (QSS) protocol based on Smolin states [Augusiak 2006 Phys. Rev. A 73 012318] is insecure against an internal cheater. Here we build a different QSS protocol with Smolin states alone, and prove it to be secure against known cheating strategies. Thus we open a promising venue for building secure QSS using merely Smolin states, which is a typical kind of bound entangled states. We also propose a feasible scheme to implement the protocol experimentally.