标题： 多部分纠缠结构在量子稳定子态中 显示英文标题

标题： Multipartite entanglement structures in quantum stabilizer states

摘要： 我们开发了一种方法，用于可视化纯稳定子态中的多体纠缠内部结构。 我们的算法以分层结构图形化组织多体相关性。 这提供了一个丰富的分类体系，可以从其中同时提取状态的许多定量特征，包括一些传统量，如纠缠深度、k-均匀性和纠缠熵。 我们的方法还提供了一种替代的计算工具，用于提取稳定子态的精确纠缠深度和所有可分离划分。 我们的构造具有规范不变性，并通过视觉揭示量子信息和纠缠是如何分布的，从而超越了传统的纠缠度量。 我们使用这个工具分析典型稳定子态（GHZ态、簇态、稳定子纠错码）的内部结构，并能够对比由随机酉操作和随机投影测量生成的高度纠缠体积定律态的复杂性。 显示英文摘要

摘要： We develop a method for visualizing the internal structure of multipartite entanglement in pure stabilizer states. Our algorithm graphically organizes the many-body correlations in a hierarchical structure. This provides a rich taxonomy from which one can simultaneously extract many quantitative features of a state including some traditional quantities such as entanglement depth, k-uniformity and entanglement entropy. Our method also presents an alternative computational tool for extracting the exact entanglement depth and all separable partitions of a stabilizer state. Our construction is gauge invariant and goes beyond traditional entanglement measures by visually revealing how quantum information and entanglement is distributed. We use this tool to analyze the internal structures of prototypical stabilizer states (GHZ state, cluster state, stabilizer error correction codes) and are able to contrast the complexity of highly entangled volume law states generated by random unitary operators and random projective measurements.