多部分贝尔自测试中与规模无关的鲁棒性
Size-Independent Robustness in Multipartite Bell Self-Testing
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中文总结 AI 辅助
该研究解决多体纠缠自测试受系统规模限制的问题，推导n量子比特GHZ态的设备无关自测试界，实现任意大系统中固定噪声下的GHZ纠缠认证，支持可扩展设备无关验证。
中文摘要 AI 辅助
迄今为止，多体纠缠的实用鲁棒自测试因误差界随系统规模增大而严重退化，仅适用于小规模系统。本研究建立了与量子网络规模无关的多体自测试鲁棒性，推导了n量子比特格林伯格-霍恩-蔡林格（GHZ）态的全解析、设备无关自测试界，该界随观测到的违背误差线性缩放，且普遍处于理论上界的2倍常数因子范围内。此外，算子不等式框架将所猜想最优界的验证简化为高效数值检查，已对n=100的情况完成该检查。因此，在任意大系统中，可在固定噪声水平下认证GHZ纠缠，实现可扩展的设备无关验证。
英文摘要
Practical robust self-testing of multipartite entanglement has so far been restricted to small-scale systems due to error bounds that degrade severely with system size. In this work, we establish multipartite self-testing with robustness independent of the size of the quantum network. We derive a fully analytic, device-independent self-testing bound for $n$-qubit Greenberger-Horne-Zeilinger (GHZ) states. The bound scales linearly with the observed violation error and lies universally within a constant factor of two from a theoretical upper bound. Furthermore, the operator-inequality framework reduces the verification of the conjectured optimal bound to a highly efficient numerical check, which we perform up to $n=100$. Consequently, GHZ entanglement can be certified under a fixed noise level in arbitrarily large systems, enabling scalable device-independent verification.
发表机构
- The University of Hong Kong（香港大学）
- University of Technology Sydney（悉尼科技大学）
- Sun Yat-sen University（中山大学）
机构由 AI 辅助整理，请以论文原文为准。
