复合量子系统特征的连续性
Continuity of characteristics of composite quantum systems
AI总结：
本文研究复合量子系统特征的连续性，改进 Alicki–Fannes–Winter 方法并提出新的逼近方法，以推导有限与无限维情形下的局部连续性条件、一致界及若干一般性定理。
摘要：
本文描述了复合量子系统特征的定量与定性连续性分析的一般方法。文中考虑了 Alicki–Fannes–Winter 方法的若干改进，使其适用于有限维和无限维情形下的一大类特征。提出并详细描述了一种新的逼近方法，用于获得量子系统各种特征的局部连续性条件。该方法使我们能够证明若干一般性结果，包括 Simon 型控制收敛定理、关于凸混合下连续性保持的定理等。文中给出了复合量子系统基本特征的一致连续性界和局部连续性条件；除不同作者早先获得的结果外，还描述了利用所提方法证明的若干新结果。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
