相对熵扰动的下半连续性及其推论
Lower semicontinuity of the relative entropy disturbance and its corollaries
AI总结：
研究证明量子操作下相对熵减少量的下半连续性，并由此推出不连续跳变不增及联合凸性模下半连续等推论。
摘要：
本文证明了在量子操作作用下，量子相对熵的减少量是关于其一对自变量的下半连续函数。该性质特别表明，量子相对熵的局部不连续跳变在量子操作作用下不会增大。它还意味着量子相对熵的联合凸性模（作为量子态系综的函数）具有下半连续性。文中讨论了这些结果的各种推论和应用。
英文摘要：
It is proved that the decrease of the quantum relative entropy under action of a quantum operation is a lower semicontinuous function of a pair of its arguments. This property implies, in particular, that the local discontinuity jumps of the quantum relative entropy do not increase under action of quantum operations. It implies also the lower semicontinuity of the modulus of the joint convexity of the quantum relative entropy (as a function of ensembles of quantum states). Various corollaries and applications of these results are considered.
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。
