5 citations · 7 across the 2 of their papers we have counts for
2 papers
quant-ph2021★ 2 cited
Geometric Approach Towards Complete Logarithmic Sobolev Inequalities
Li Gao, Marius Junge, Haojian Li
In this paper, we use the Carnot-Caratheodory distance from sub-Riemanian geometry to prove entropy decay estimates for all finite dimensional symmetric quantum Markov semigroups.…
math-ph2020★ 5 cited
Graph Hörmander Systems
Haojian Li, Marius Junge, Nicholas LaRacuente
This paper extends the Bakry-Émery theorem connecting the Ricci curvature and log-Sobolev inequalities to the matrix-valued setting. Using tools from noncommuative geometry, it is…