Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing

Abstract

In this article we present a general security strategy for quantum secret sharing (QSS) protocols based on the HBB scheme presented by Hillery, Bužek and Berthiaume [Phys. Rev A \textbf{59}, 1829 (1999)]. We focus on a generalization of the HBB protocol to $n$ communication parties thus including $n$-partite GHZ states. We show that the multipartite version of the HBB scheme is insecure in certain settings and impractical when going to large $n$. To provide security for such QSS schemes in general we use the framework presented by some of the authors [M. Huber, F. Minert, A. Gabriel, B. C. Hiesmayr, Phys. Rev. Lett. \textbf{104}, 210501 (2010)] to detect certain genuine $n$ partite entanglement between the communication parties. In particular, we present a simple inequality which tests the security.

5 pages, submitted to Phys. Rev. A

References in corpus (7)

• Multiparty quantum state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs
• Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement
• Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocol
• Experimental demonstration of four-party quantum secret sharing
• A composite parameterization of unitary groups, density matrices and subspaces
• Information Flow in Secret Sharing Protocols
• Quantum states for perfectly secure secret sharing

Cited by in corpus (6)

• Measure of genuine multipartite entanglement with computable lower bounds
• Determining lower bounds on a measure of multipartite entanglement from few local observables
• Purification of genuine multipartite entanglement
• Improved lower bounds on genuine-multipartite-entanglement concurrence
• Experimentally implementable criteria revealing substructures of genuine multipartite entanglement
• Macroscopic Observables Detecting Genuine Multipartite Entanglement and Partial Inseparability in Many-Body Systems