Speaker: Luo Shunlong, Academy of Mathematics and Systems Science,Chinese Academy of Sciences

Date: Mar.10, 2021

Time: 7:00 p.m.

Location: Zoom ID: 742 475 386

Abstract:

By exploiting the algebraic and geometric structure of operation-state coupling, we show that an information-theoretic measure of asymmetry 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 presents a basic framework for quantitatively addressing symmetry-asymmetry complementarity.

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