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Selection of unitary operations in quantum secret sharing without entanglement

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Abstract

We propose a substitute-Bell-state attack strategy for quantum secret sharing schemes without entanglement, as well as a definition of the minimum failure probability of such attack strategy. A quantitative analysis of security degrees corresponding to different unitary operations is also provided, when the secret sharing schemes without entanglement are stricken by substitute-Bell-state attack. As a result, the relation between the selection of unitary operations and the effect of substitute-Bell-state attack is shown, which can serve as an important guidance for the selection of unitary operations in designing and implementing quantum secret sharing schemes.

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Authors and Affiliations

  1. School of Computer Science and Engineering, Southeast University, Nanjing, 210096, China

    Juan Xu, HanWu Chen, WenJie Liu & ZhiHao Liu

  2. School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    WenJie Liu

Authors
  1. Juan Xu
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  2. HanWu Chen
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  3. WenJie Liu
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  4. ZhiHao Liu
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Correspondence to HanWu Chen.

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Xu, J., Chen, H., Liu, W. et al. Selection of unitary operations in quantum secret sharing without entanglement. Sci. China Inf. Sci. 54, 1837–1842 (2011). https://doi.org/10.1007/s11432-011-4240-9

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  • DOI: https://doi.org/10.1007/s11432-011-4240-9

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