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基于局域操作与共享随机性多体非局域性检验的噪声鲁棒自检验

Noise robust self testing from genuine local operation shared randomness multipartite nonlocality Tests

Som Kanjilal

arXiv 2609.15436首次发表:更新:

AI 中文总结

本文针对LOSR下多体非局域性检验,提出设备无关自检验协议,并建立解析噪声鲁棒自检验,给出贝尔分数偏差ε下的O(√ε)范数界。

AI 中文摘要

在局域操作与共享随机性(LOSR)下,Phys. Rev. Lett. 129, 150401 (2022) 中引入的N体不等式违背,排除了所有通过局域组合涉及至多N-1个方的任意资源而获得的因果网络模型,即使这些模型补充了所有N方之间的共享随机性。在此,我们为此展示了一个设备无关的自检验协议。我们进一步建立了一个解析的噪声鲁棒自检验。对于贝尔分数偏差ε,我们推导了状态及相应测量操作的显式O(√ε)向量范数界。

英文摘要

Violation of the $N$-partite inequality introduced in Phys. Rev. Lett. 129, 150401 (2022) for genuine multipartite nonlocality under local operations and shared randomness (LOSR) rules out all causal-network models obtained by locally composing arbitrary resources involving at most $N-1$ parties, even when supplemented by shared randomness among all $N$ parties. Here, we demonstrate a device-independent self-test protocol for this. We further establish an analytic noise-robust self-test. For a Bell-score deficit $ε$, we derive explicit $O(\sqrtε)$ vector-norm bounds for the state and the corresponding measurement actions.

Comments10+4 pages, comments are welcome

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