46 citations · 202 across the 26 of their papers we have counts for
5 papers · 1 filter
Entropy decay for Davies semigroups of a one dimensional quantum lattice
Ivan Bardet, Ángela Capel, Li Gao +3
Given a finite-range, translation-invariant commuting system Hamiltonians on a spin chain, we show that the Davies semigroup describing the reduced dynamics resulting from the join…
Ricci curvature of quantum channels on non-commutative transportation metric spaces
Li Gao, Cambyse Rouzé
Following Ollivier's work, we introduce the coarse Ricci curvature of a quantum channel as the contraction of non-commutative metrics on the state space. These metrics are defined…
On a tracial version of Haemers bound
Li Gao, Sander Gribling, Yinan Li
We extend upper bounds on the quantum independence number and the quantum Shannon capacity of graphs to their counterparts in the commuting operator model. We introduce a von Neuma…
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.…
Complete entropic inequalities for quantum Markov chains
Li Gao, Cambyse Rouzé
We prove that every GNS-symmetric quantum Markov semigroup on a finite dimensional matrix algebra satisfies a modified log-Sobolev inequality. In the discrete time setting, we prov…