PIRSA:21120009

Video URL

https://pirsa.org/21120009

Matrix-valued logarithmic Sobolev inequalities

Li, H. (2021). Matrix-valued logarithmic Sobolev inequalities . Perimeter Institute for Theoretical Physics. https://pirsa.org/21120009

Li, Haojian. Matrix-valued logarithmic Sobolev inequalities . Perimeter Institute for Theoretical Physics, Dec. 01, 2021, https://pirsa.org/21120009 

          @misc{ scivideos_PIRSA:21120009,
            doi = {10.48660/21120009},
            url = {https://pirsa.org/21120009},
            author = {Li, Haojian},
            keywords = {Quantum Information},
            language = {en},
            title = {Matrix-valued logarithmic Sobolev inequalities },
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {dec},
            note = {PIRSA:21120009 see, \url{https://scivideos.org/pirsa/21120009}}
          }

Haojian Li Baylor University

Talk numberPIRSA:21120009
DOI10.48660/21120009
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Logarithmic Sobolev inequalities (LSI) were first introduced by Gross in the 1970s as an equivalent formulation of hypercontractivity. LSI have been well studied in the past few decades and found applications to information theory, optimal transport, and graph theory. Recently matrix-valued LSI have been an active area of research. Matrix-valued LSI of Lindblad operators are closely related to decoherence of open quantum systems.  In this talk, I will present recent results on matrix-valued LSI, in particular a geometric approach to matrix-valued LSI of Lindblad operators. This talk is based on joint work with Li Gao, Marius Junge, and Nicholas LaRacuente.