This talk discusses smoothing exponents and decoupling beyond finite-dimensional systems. We will first review the Li-Yao-Hayashi's result, emphasizing how pinching enters the finite-dimensional proof. We then explain how those tools be replaced or modified in semifinite von Neumann algebras. Finally, we talk on its applications in decoupling, where we also obtain a generalized operator layer-cake lemma. All these results reveal that these quantum-information exponents are intrinsic in the operator-algebraic structure.

报告人简介：邱泓森，哈尔滨工业大学读博士生，导师为熊枭教授。研究方向为非交换分析和量子信息中的泛函不等式。