Practical sharing of quantum secrets over untrusted channels

TL;DR

This paper introduces practical quantum secret sharing protocols that require only single-copy encodings, making them feasible with current technology and applicable to all schemes and access structures.

Contribution

The authors develop both interactive and non-interactive protocols for quantum secret sharing that do not need entanglement scaling with security parameters, enhancing practicality.

Findings

Protocols work for all quantum secret sharing schemes

Protocols are implementable with current experimental setups

Single authorized player protocols function as quantum authentication

Abstract

In this work we address the issue of sharing a quantum secret over untrusted channels between the dealer and players. Existing methods require entanglement over a number of systems which scales with the security parameter, quickly becoming impractical. We present protocols (interactive and a non-interactive) where single copy encodings are sufficient. Our protocols work for all quantum secret sharing schemes and access structures, and are implementable with current experimental set ups. For a single authorised player, our protocols act as quantum authentication protocols.