提升设备无关会议密钥协议中的噪声鲁棒性：基于非对称奇偶-CHSH不等式
Enhancing noise robustness in device-independent conference key agreement with asymmetric parity-CHSH inequalities
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中文总结 AI 辅助
本文提出非对称奇偶-CHSH不等式，结合噪声预处理，提升设备无关会议密钥协议对探测低效、局域及全局去极化噪声的鲁棒性，解决其实现难度大的问题。
中文摘要 AI 辅助
会议密钥协议允许多个远程各方建立具有信息论安全性的共享密钥。在设备无关会议密钥协议中，只要观测到贝尔不等式的违背，就能以对所用设备的最少假设保证安全性。然而，实现极具挑战性，因为需要高探测效率以观测无漏洞的贝尔违背。本文通过引入一类新的多体贝尔不等式——非对称奇偶-克劳泽-霍恩-西米恩-霍尔特（CHSH）不等式，提升设备无关会议密钥协议的鲁棒性。我们推导了基于该不等式的协议中，某一方结果的条件冯·诺依曼熵的紧解析下界，包含噪声预处理。利用该下界，我们分析了对探测低效以及局域和全局去极化噪声的鲁棒性。结果表明，非对称奇偶-CHSH不等式与噪声预处理相结合，可显著提升对缺陷的鲁棒性。
英文摘要
Conference key agreement allows multiple remote parties to establish a shared secret key with information-theoretical security. In device-independent conference key agreement, security can be guaranteed with minimal assumptions on the devices used, provided that a violation of a Bell inequality is observed. However, implementations are extremely challenging because high detection efficiency is required to observe loophole-free Bell violations. Here, we enhance the robustness of device-independent conference key agreement by introducing a new family of multipartite Bell inequalities called the asymmetric parity-Clauser-Horne-Shimony-Holt (CHSH) inequalities. We derive a tight analytical lower bound on the conditional von Neumann entropy of the outcomes of one of the parties in a protocol based on this inequality, including noisy preprocessing. Using this bound, we analyze robustness to detection inefficiencies as well as local and global depolarizing noise. We show that the combination of the asymmetric parity-CHSH inequality and noisy preprocessing can significantly improve the robustness to imperfections.
发表机构
- Keio University（庆应义塾大学）
- Technical University of Denmark（丹麦技术大学）
- National Institute of Information and Communications Technology (NICT)（信息通信研究机构）
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