通过纠缠隐形传态视角看深度热化的局域性
Locality of deep thermalisation through the lens of entanglement teleportation
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中文总结 AI 辅助
研究深度热化现象中的局域性，通过考虑子系统分区，发现一般局部相互作用系统有涌现局域性，深度热化和纠缠隐形传态时间尺度与子区域距离成对数关系，特殊电路情况除外，其导致真正非局域性。
中文摘要 AI 辅助
深度热化表征了由于对互补子系统进行投影测量，子系统上通用量子态系综的出现。我们通过考虑一个子系统划分为两个不相交子区域，在幺正动力学下这两个子区域始终因果不相连，来研究这种现象中的局域性概念。我们表明，这种几何结构中深度热化的开始从根本上受子区域间测量诱导的纠缠隐形传态限制。虽然对环境的测量在不相连的分区间产生纠缠——暗示明显的非局域性——但我们证明一般的局部相互作用系统呈现出一种涌现的局域性。具体而言，深度热化和纠缠隐形传态的时间尺度与分隔子区域的距离成对数关系。特殊电路除外，在特殊电路中测量结果的随机性完美地传递到子系统态的系综上，在这种情况下深度热化的时间尺度是有限的，导致真正的非局域性。
英文摘要
Deep thermalisation characterises the emergence of universal quantum state ensembles on subsystems due to projective measurements on their complement. We study the notion of locality, or lack thereof, in this phenomenon by considering a subsystem partitioned into two disjoint subregions which remain causally disconnected at all times under unitary dynamics. We show that the onset of deep thermalisation in this geometry is fundamentally bounded by measurement-induced entanglement teleportation between the subregions. While measurements on the environment generate entanglement across the disconnected partitions -- suggesting an apparent non-locality -- we demonstrate that generic locally interacting systems exhibit an emergent locality. Specifically, the timescales for both deep thermalisation and entanglement teleportation scale logarithmically with the distance separating the subregions. Exceptions to this include special circuits where the randomness of the measurement outcomes is perfectly transmitted to the ensemble of states of the subsystem, conditioned on the outcomes; in such cases the timescale for deep thermalisation is finite leading to genuine non-locality.
