Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing

Details Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing

2010-09-24

arxiv.org/abs/1009.4796v1

Phys. Rev. A 82, 062311 (2010)

Physics

Quantum Physics

5 pages, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.82.062311

In this article we present a general security strategy for quantum secret sharing (QSS) protocols based on the HBB scheme presented by Hillery, Bu\v{z}ek 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.

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