论文标题
复合量子系统特性的连续性
Continuity of characteristics of composite quantum systems
论文作者
论文摘要
描述了复合量子系统特征的定量和定性连续性分析的一般方法。考虑了Alicki-Fannes冬季方法的几种修改，这使其适用于有限维和无限维情况中的广泛特征。提出并详细描述了一种新的近似方法，用于获得量子系统各种特征的局部连续性条件。这种方法使我们能够证明几个一般结果（Simon型主导的收敛定理，有关在凸混合物下保存连续性等定理等）。 提出了复合量子系统基本特征的均匀连续性边界和局部连续性条件。除了不同作者先前获得的结果外，还描述了所提出方法证明的许多新结果。
General methods of quantitative and qualitative continuity analysis of characteristics of composite quantum systems are described. Several modifications of the Alicki-Fannes-Winter method are considered, which make it applicable to a wide class of characteristics in both finite-dimensional and infinite-dimensional cases. A new approximation method for obtaining local continuity conditions for various characteristics of quantum systems is proposed and described in detail. This method allows us to prove several general results (Simon-type dominated convergence theorem, the theorem about preserving continuity under convex mixtures, etc.). Uniform continuity bounds and local continuity conditions for basic characteristics of composite quantum systems are presented. Along with the results obtained earlier by different authors, a number of new results proved by the proposed methods are described.
