Symmetry Quantification

Time: June 29 (Friday), 15:00-16:00
Place: N620
Speaker: Shunlong Luo (AMSS)
Title: Symmetry Quantification
Abstract: 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.
 
Prof. Shunlong Luo talks on "Symmetry Quantification".