标题： 一种广义的统计复杂性度量：在量子系统中的应用 显示英文标题

标题： A Generalized Statistical Complexity Measure: Applications to Quantum Systems

摘要： 一种基于Rényi熵的两参数复杂度度量族$\tilde{C}^{(\alpha,\beta)}$被引入并通过对其数学性质的详细研究进行表征。 该族是LMC复杂度连续版本的推广，在$\alpha=1$和$\beta=2$时恢复为LMC复杂度。 这些复杂度度量是通过乘以两个提供定义系统概率分布全局信息的量得到的。 当其中一个参数，$\alpha$或$\beta$，趋于无穷大时，其中一个全局因子变为局部因子。 对于这种情况，分别在不同的量子系统上计算复杂度：氢原子、谐振子和方势阱。 显示英文摘要

摘要： A two-parameter family of complexity measures $\tilde{C}^{(\alpha,\beta)}$ based on the R\'enyi entropies is introduced and characterized by a detailed study of its mathematical properties. This family is the generalization of a continuous version of the LMC complexity, which is recovered for $\alpha=1$ and $\beta=2$. These complexity measures are obtained by multiplying two quantities bringing global information on the probability distribution defining the system. When one of the parameters, $\alpha$ or $\beta$, goes to infinity, one of the global factors becomes a local factor. For this special case, the complexity is calculated on different quantum systems: H-atom, harmonic oscillator and square well.