AI 中文总结
该研究针对制备与广播场景，推导了相关性能的权衡关系，开发了半设备无关随机性认证框架，可认证两位联合随机性且鲁棒性强，还适配含量子侧信息的对抗模型。
AI 中文摘要
我们研究制备与广播场景，这是维度受限的制备-测量实验的多体扩展场景，其中量子系统被分发给多个接收者。我们推导了制备-测量见证、贝尔非定域性和量子随机存取码性能之间的基本权衡关系。我们进一步开发了基于制备与广播见证的半设备无关随机性认证框架，表明最大量子违背可认证两位联合随机性，超过CHSH不等式可实现的极限，同时对噪声具有鲁棒性。最后，我们表明制备与广播场景自然支持更强的对抗模型，其中窃听者保留与测量设备相关联的量子系统，为对抗量子侧信息的半设备无关随机性认证提供了自然框架。
英文摘要
We investigate the prepare-and-broadcast scenario, a multipartite extension of dimension-constrained prepare-and-measure experiments in which a quantum system is distributed to multiple receivers. We derive fundamental trade-offs between prepare-and-measure witnesses, Bell nonlocality, and quantum random access code performance. We further develop a semi-device-independent randomness certification framework based on prepare-and-broadcast witnesses, showing that the maximal quantum violation certifies two bits of joint randomness, exceeding the limit achievable from the CHSH inequality while remaining robust to noise. Finally, we show that the prepare-and-broadcast scenario naturally accommodates stronger adversarial models in which the eavesdropper retains a quantum system correlated with the measurement device, providing a natural framework for semi-device-independent randomness certification against quantum side information.
Comments22 pages, 8 figures
