5 citations · 5 across the 2 of their papers we have counts for
4 papers
Quantum Oracle Separations from Complex but Easily Specified States
Nicholas LaRacuente
A foundational question in quantum computational complexity asks how much more useful a quantum state can be in a given task than a comparable, classical string. Aaronson and Kuper…
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…
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…
Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions
Li Gao, Marius Junge, Nicolas LaRacuente
We prove a version of Talagrand's concentration inequality for subordinated sub-Laplacian on a compact Riemannian manifold using tools from noncommutative geometry. As an applicati…