5 citations · 8 across the 4 of their papers we have counts for
4 papers
Sufficient statistic and recoverability via Quantum Fisher Information metrics
Li Gao, Haojian Li, Iman Marvian +1
We prove that for a large class of quantum Fisher information, a quantum channel is sufficient for a family of quantum states, i.e., the input states can be recovered from the outp…
Relative entropy decay and complete positivity mixing time
Li Gao, Marius Junge, Nicholas LaRacuente +1
We prove that the complete modified logarithmic Sobolev constant of a quantum Markov semigroup is bounded by the inverse of its complete positivity mixing time. For classical Marko…
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.…
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…