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Secret sharing of a known arbitrary quantum state with noisy environment

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Abstract

We study quantum state sharing (QSTS) with noisy environment in this paper. As an example, we present a QSTS scheme of a known state whose information is hold by the dealer and then investigate the noisy influence process of the scheme. Taking the amplitude-damping noise and the phase-damping noise as typical noisy channels, we show that the secret state can be shared among agents with some information lost. Our research connects the areas of quantum state sharing and remote state preparation.

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Acknowledgments

The project is supported by Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2014JQ2-6030), the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 15JK1316), the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), the Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology (CICAEET), the National Natural Science Foundation of China (61201118), and the PhD Start-up Foundation of Xi’an Polytechnic University (No. BS1331).

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Authors and Affiliations

  1. College of Computer Science, Xi’an Polytechnic University, Xi’an, 710048, China

    Ming-Ming Wang, Wei Wang & Jin-Guang Chen

  2. Nanjing University of Information Science & Technology (NUIST), Nanjing, 210044, China

    Ming-Ming Wang

  3. Information Technology Department, Al-Zahra College for Women, Muscat, Oman

    Ahmed Farouk

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  1. Ming-Ming Wang
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Correspondence to Ming-Ming Wang.

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Wang, MM., Wang, W., Chen, JG. et al. Secret sharing of a known arbitrary quantum state with noisy environment. Quantum Inf Process 14, 4211–4224 (2015). https://doi.org/10.1007/s11128-015-1103-0

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