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arXiv:2008.06228 · Quantum Information Processing

A novel three-party quantum secret sharing scheme based on Bell state sequential measurements with application in quantum image sharing

Farhan Musanna, Sanjeev Kumar

Published Sep 22, 2020• 13 citations
arXivHTMLPDF
DOI
10.1007/s11128-020-02854-8

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Comment on “Three-party quantum secret sharing based on d-dimensional Bell state”

Gan Gao, Hongru Song

In the paper [Mod. Phys. Lett. B 33 (2019) 1950023 ], Qin et al. proposed a three-party quantum secret sharing scheme based on [Formula: see text]-dimensional Bell states. We study the security of the proposed scheme and find that it is not secure, that is, one sharer can obtain Alice’s secret messages without the help of the other sharer.

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A three-party quantum secret sharing scheme is proposed, in which the dealer uses the d-dimensional Bell state to distribute the secret, the participants perform the single-particle measurements to get their shares, and the dealer performs the Bell-basis measurements to check the eavesdropping. The main merit of our scheme is that the participants only need to measure the particles in one basis. Compared to the existing schemes in which the participants need to measure the particles in two bases, our scheme will be more practical.
Imperfect single-photon detectors can lead to security flaws such as key information leakage and malicious information injection. We propose a three-party detector-device-independent quantum secret sharing protocol based on the single-photon Bell-state measurement and two-photon Bell-state distribution. Two agents develop connections among three communication parties by implementing spatial encoding of photons and performing single-photon Bell-state measurements in both polarization and spatial mode degrees of freedom, resulting in secret sharing among the three parties. This protocol can be implemented with linear optical elements and is simple for practical applications. Furthermore, we prove the security of the protocol and demonstrate its resistance to two common eavesdropping attacks.