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Entanglement Theory Quantum Correlations

Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing

arXiv

Authors: Stefan Schauer, Marcus Huber, Beatrix C. Hiesmayr

Year

2010

Paper ID

11142

Status

Preprint

Abstract Read

~2 min

Abstract Words

126

Citations

N/A

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 \[Phys. Rev A 59, 1829 (1999)\]. 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 \[M. Huber, F. Minert, A. Gabriel, B. C. Hiesmayr, Phys. Rev. Lett. 104, 210501 (2010)\] 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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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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1009.4796 [2] arXiv https://arxiv.org/abs/1009.4796 [3] Publisher https://arxiv.org/abs/1009.4796

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