AI 中文总结
研究 AdS₃/CFT₂ 中体子区域的逻辑信息编码及保护问题，引入距离、阈值等表征 CHQSS 方案，推导相关关系，呈现多体纠缠楔相变，构建了包含完美阈值和非阈值 CHQSS 的方案族。
AI 中文摘要
我们引入用于 AdS₃/CFT₂ 中一个体子区域的组合全息量子秘密共享（CHQSS），以研究体子区域的逻辑信息如何在边界编码并免受边界子区域擦除的影响。我们引入距离、重建阈值和秘密阈值来表征 CHQSS 方案。在对称设置中呈现多体纠缠楔的相变并观察到多个不同的相变点。距离和阈值取决于全息相和体子区域的选择。我们推导了最大距离以及距离与阈值之间的关系。在对称设置中构建了包括完美阈值 CHQSS 和完美非阈值 CHQSS 的 CHQSS 方案族。
英文摘要
We introduce combinatorial holographic quantum secret sharing (CHQSS) for a bulk subregion in AdS$_3$/CFT$_2$ to study how logical information of the bulk subregion is encoded in the boundary and protected from erasures of boundary subregions. We introduce a distance, a reconstruction threshold, and a secret threshold to characterize CHQSS schemes. We present the phase transitions of multipartite entanglement wedges in a symmetric setup and observe multiple distinct phase transition points. The distance and thresholds depend on the holographic phase and the choice of bulk subregion. We derive the maximum distance. Moreover, we derive the relations between the distance and the thresholds. We construct a family of CHQSS schemes in the symmetric setting that includes perfect threshold CHQSS and perfect non-threshold CHQSS.
