Characterizing the entanglement of symmetric many-particle spin-1/2 systems
Characterizing the entanglement of symmetric many-particle spin-1/2 systems
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DOI：
10.1103/physreva.67.022112
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发表时间：
2003-02-01
影响因子：
2.9
通讯作者：
Mabuchi, H
中科院分区：
文献类型：
--
作者：
Stockton, JK;Geremia, JM;Mabuchi, H
分析多粒子自旋 1/2 系统中的纠缠性质通常很困难，因为系统的希尔伯特空间随着组成粒子的数量 N 呈指数增长。幸运的是，当系统的状态具有足够的对称性时，仍然可以研究多粒子纠缠。在本文中，我们提出了一种有效计算对称子空间中状态的各种二分纠缠测度的实用方法，并针对类似于 10(3) 的 N 执行这些计算。通过考虑所有可能的二分分裂，我们构建了大型对称系统中多尺度纠缠的图像。特别是，我们通过将动态生成的自旋压缩态与已知的参考态（例如 Greenberger-Horne-Zeilinger 态和 Dicke 态）以及具有接近最大二分熵的态族进行比较来表征它们。我们量化了纠缠程度与其对粒子损失的鲁棒性之间的权衡，强调大量的纠缠不一定是脆弱的。
Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, N. Fortunately, it is still possible to investigate a many-particle entanglement when the state of the system possesses sufficient symmetry. In this paper, we present a practical method for efficiently computing various bipartite entanglement measures for states in the symmetric subspace and perform these calculations for Nsimilar to10(3). By considering all possible bipartite splits, we construct a picture of the multiscale entanglement in large symmetric systems. In particular, we characterize dynamically generated spin-squeezed states by comparing them to known reference states (e.g., Greenberger-Horne-Zeilinger and Dicke states), and families of states with near-maximal bipartite entropy. We quantify the trade-off between the degree of entanglement and its robustness to particle loss, emphasizing that substantial entanglement need not be fragile.