5 citations · 12 across the 7 of their papers we have counts for
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Complete Logarithmic Sobolev Inequalities via Ricci Curvature Bounded Below II
Michael Brannan, Li Gao, Marius Junge
Using a non-negative curvature condition, we prove the complete version of modified log-Sobolev inequalities for central Markov semigroups on various compact quantum groups, includ…
Complete Logarithmic Sobolev inequalities via Ricci curvature bounded below
Michael Brannan, Li Gao, Marius Junge
We prove that for a symmetric Markov semigroup, Ricci curvature bounded from below by a non-positive constant combined with a finite -mixing time implies the modified log…
Quantum Majorization on Semifinite von Neumann Algebras
Priyanga Ganesan, Li Gao, Satish K. Pandey +1
We extend Gour et al's characterization of quantum majorization via conditional min-entropy to the context of semifinite von Neumann algebras. Our method relies on a connection bet…
Relative entropy for von Neumann subalgebras
Li Gao, Marius Junge, Nicholas LaRacuente
We revisit the connection between index and relative entropy for an inclusion of finite von Neumann algebras. We observe that the Pimsner-Popa index connects to sandwiched Renyi $p…
Quantum Euclidean Spaces with Noncommutative Derivatives
Li Gao, Marius Junge, Edward McDonald
Quantum Euclidean spaces, as Moyal deformations of Euclidean spaces, are the model examples of noncompact noncommutative manifold. In this paper, we study the quantum Euclidean spa…
Quantum Teleportation and Super-dense Coding in Operator Algebras
Li Gao, Samuel J. Harris, Marius Junge
Let be the unital -algebra generated by the elements , satisfying the relations that is a unitary operator, and let…