几个著名量子不等式的矩阵凸性方法
A Matrix Convexity Approach to Some Celebrated Quantum Inequalities
摘要：
一些与量子熵相关的重要不等式是Hansen-Pedersen-Jensen不等式的直接代数结果。利用算子凸函数的矩阵观点给出了一个一般性的论证。矩阵模拟Maréchal的扩展的观点提供了额外的不平等，包括$p+q\leq 1$结果的Lieb。
英文摘要：
Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A general argument is given using matrix perspectives of operator convex functions. A matrix analogue of Maréchal's extended perspectives provides additional inequalities, including a $p+q\leq 1$ result of Lieb.
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