HIT News (Institute of Mathematics Research/Article) A few days ago, Proceedings of the National Academy of Sciences of the United States of Americapublished a paper online, which is Quantum Fourier analysis. It is written by Wu Jingsong, a young teacher in the Institute of Mathematics Research and his collaborators.
In recent years, Wu Jingsongand his collaborators have obtained a series of important basic results in the Fourier analysisof sub-factor plane algebra, locally compact quantum groups and coupling categories. Sub-factor plane algebra, locally compact quantum groups and coupling categories are all different mathematical expressions of quantum symmetry in physics.Quantum Fourier Analysis will have an important impact on quantum physics, quantum information and other fields.
Proceedings of the National Academy of Sciences (PNAS) is the world's most prestigious top comprehensive academic journal in the field of basic science, and is recognized as one of the world's four major journals (Nature, Science, Cell, andPNAS). Since its inception in 1914, Proceedings of the National Academy of Sciences has provided high-level frontier research reports, academic reviews, subject reviews, forward-looking academic papers, and reports and publications on the academic dynamics of the National Academy of Sciences.
Link for the paper：https://www.pnas.org/content/117/20/10715