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- W2019251214 abstract "In this article we present a general security strategy for quantum secret sharing (QSS) protocols based on the scheme presented by Hillery, Buifmmode check{z}else v{z}fi{}ek, and Berthiaume (HBB) [Phys. Rev. A 59, 1829 (1999)]. We focus on a generalization of the HBB protocol to $n$ communication parties thus including $n$-partite Greenberger-Horne-Zeilinger 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. Mintert, A. Gabriel, B. C. Hiesmayr, Phys. Rev. Lett. 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." @default.
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- W2019251214 date "2010-12-13" @default.
- W2019251214 modified "2023-09-27" @default.
- W2019251214 title "Experimentally feasible security check for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>-qubit quantum secret sharing" @default.
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- W2019251214 doi "https://doi.org/10.1103/physreva.82.062311" @default.
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