论文标题
多参数随机状态的纠缠动力学：单个参数公式
Entanglement dynamics of multi-parametric random states: a single parametric formulation
论文作者
论文摘要
许多人体系统的非连接量子状态通常是随机的，并且是多参数，这是由于缺乏精确的信息，这是由于复杂性而缺乏精确的信息，后者反映了其在希尔伯特（Hilbert）空间不同部分的各种行为。这种状态的降低密度矩阵的适当表示是具有单位迹线的广义多参数愿望集合。我们对这些集团的理论分析不仅解决了通用状态平均信息熵的增长率的争议，而且还导致了对其纠缠动态的新见解。尽管状态本身是多参数，但我们发现可以用信息理论函数（称为复杂性参数）来描述平均度量的增长。后者又导致了广泛的各种状态措施的共同数学表述。它也可以充当不同系统纠缠状态的层次结构排列的可能工具。
A non-ergodic quantum state of a many body system is in general random as well as multi-parametric, former due to a lack of exact information due to complexity and latter reflecting its varied behavior in different parts of the Hilbert space. An appropriate representation for the reduced density matrix of such a state is a generalized, multi-parametric Wishart ensemble with unit trace. Our theoretical analysis of these ensembles not only resolves the controversy about the growth rates of the average information entropies of the generic states but also leads to new insights in their entanglement dynamics. While the state itself is multi-parametric, we find that the growth of the average measures can be described in terms of an information-theoretic function, referred as the complexity parameter. The latter in turn leads to a common mathematical formulation of the measures for a wide range of states; it could also act as a possible tool for hierarchical arrangement of the entangled states of different systems.
