讲座内容：

By exploiting the algebraicand geometric structure of operation-state coupling, we show that aninformation-theoretic measure of asymmetry emerges naturally from the formalismof quantum mechanics. This is achieved by decomposing the operation-state couplinginto a symmetric part and an asymmetric part, which satisfy a conservationrelation. The symmetric part is represented by the symmetric Jordan product,and the asymmetric part is synthesized by the skew-symmetric Lie product. Thelatter leads to a significant extension of the celebrated Wigner-Yanase skewinformation, and has an operational interpretation as quantum coherence of astate with respect to an operation. This presents a basic framework for quantitativelystudying asymmetry.