Breaking Rate-Distance Limitation of Measurement-Device-Independent Quantum Secret Sharing

• URL: http://arxiv.org/abs/2212.06148v3
• Date: Tue, 8 Aug 2023 00:25:20 GMT
• Title: Breaking Rate-Distance Limitation of Measurement-Device-Independent Quantum Secret Sharing
• Authors: Chen-Long Li, Yao Fu, Wen-Bo Liu, Yuan-Mei Xie, Bing-Hong Li, Min-Gang Zhou, Hua-Lei Yin, Zeng-Bing Chen
• Abstract summary: Currently most progresses on quantum secret sharing suffer from rate-distance bound, and thus the key rates are limited. Here we report a measurement-device-independent quantum secret sharing protocol with improved key rate and transmission distance. Compared with other protocols, our work improves the secret key rate by more than two orders of magnitude and has a longer transmission distance.
• Score: 6.300599548850421
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Currently most progresses on quantum secret sharing suffer from rate-distance bound, and thus the key rates are limited. In addition to the limited key rate, the technical difficulty and the corresponding cost together prevent large-scale deployment. Furthermore, the performance of most existing protocols is analyzed in the asymptotic regime without considering participant attacks. Here we report a measurement-device-independent quantum secret sharing protocol with improved key rate and transmission distance. Based on spatial multiplexing, our protocol shows it can break rate-distance bounds over network under at least ten communication parties. Compared with other protocols, our work improves the secret key rate by more than two orders of magnitude and has a longer transmission distance. We analyze the security of our protocol in the composable framework considering participant attacks and evaluate its performance in the finite-size regime. In addition, we investigate applying our protocol to digital signatures where the signature rate is improved more than $10^7$ times compared with existing protocols. We anticipate that our quantum secret sharing protocol will provide a solid future for multiparty applications on the quantum network.

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