Efficient and economic five-party quantum state sharing of an arbitrary m-qubit state

TL;DR

This paper proposes a more efficient and secure five-party quantum state sharing scheme for arbitrary m-qubit states using only three-particle GHZ states and measurements, simplifying implementation and enhancing security.

Contribution

It introduces a symmetric, secure, and highly efficient quantum state sharing protocol that requires only three-particle entanglements and measurements, unlike previous methods.

Findings

Uses only three-particle GHZ states and measurements

Achieves near-maximal total efficiency

Ensures security even with multiple dishonest agents

Abstract

We present an efficient and economic scheme for five-party quantum state sharing of an arbitrary m-qubit state with $2m$ three-particle Greenberger-Horne-Zeilinger (GHZ) states and three-particle GHZ-state measurements. It is more convenient than other schemes as it only resorts to three-particle GHZ states and three-particle joint measurement, not five-particle entanglements and five-particle joint measurements. Moreover, this symmetric scheme is in principle secure even though the number of the dishonest agents is more than one. Its total efficiency approaches the maximal value.