中科院数学与系统科学研究院

华罗庚数学中心

量子信息系列报告

报告人：     骆顺龙（中国科学院数学与系统科学研究院）

题  目：Symmetry Quantification

时  间：2018.06.29（星期五），15:00-16:00

地  点：数学院南楼N620室

摘  要：By exploiting the algebraic and geometric structure of operation-state coupling, we show that an information-theoretic measure of symmetry emerges naturally from the formalism of quantum mechanics. This is achieved by decomposing the operation-state coupling into a symmetric part and an asymmetric part, which satisfy a conservation relation. The symmetric part is represented by the symmetric Jordan product, and the asymmetric part is synthesized by the skew-symmetric Lie product. The latter leads to a significant extension of the celebrated Wigner-Yanase skew information, and has an operational interpretation as quantum coherence of a state with respect to an operation. This not only puts the study of coherence in a broad context involving operations, but also presents a basic framework for quantitatively addressing symmetry-asymmetry complementarity.