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<p>In this paper, we investigate a possibility of three-dimensional extension of correlation measurement based quantum secret sharing (QSS) with a three-dimensional cyclic-entangled state, called qutrit cyclic-entangled state. The qutrit cyclic-entangled state can be post-selected by a correlation measurement setup with linear optical elements. Thus, this protocol can provide a measurement-device-independent security against a potential eavesdropper, since the measurement results reveals only a correlation among qutrits sent from the three parties, not the exact quantum states. We show that our protocol can be implemented with current state-of-the-art technologies. The security of QSS with a qutrit cyclic-entangled state is analyzed for the cases, when all players are trusted as well as there are malicious players. Possibility of higher-dimensional, qudit extension and conditions for an advantage with qudit are investigated as well.</p>

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Security analysis of qutrit quantum secret sharing with linear optical correlation measurement

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月5日

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  • Yonggi Jo,
  • Taek Jeong,
  • Nam Hun Park,
  • Zaeill Kim,
  • Dong-Gil Im,
  • Kyungdeuk Park,
  • Yong Sup Ihn

摘要

In this paper, we investigate a possibility of three-dimensional extension of correlation measurement based quantum secret sharing (QSS) with a three-dimensional cyclic-entangled state, called qutrit cyclic-entangled state. The qutrit cyclic-entangled state can be post-selected by a correlation measurement setup with linear optical elements. Thus, this protocol can provide a measurement-device-independent security against a potential eavesdropper, since the measurement results reveals only a correlation among qutrits sent from the three parties, not the exact quantum states. We show that our protocol can be implemented with current state-of-the-art technologies. The security of QSS with a qutrit cyclic-entangled state is analyzed for the cases, when all players are trusted as well as there are malicious players. Possibility of higher-dimensional, qudit extension and conditions for an advantage with qudit are investigated as well.