no code implementations • 8 Feb 2021 • 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.
Quantum Physics Operator Algebras
no code implementations • 15 Dec 2020 • Marius Junge, Chloe Kim, Guangkuo Liu, Peixue Wu
We develop a connection between tripartite information $I_3$, secret sharing protocols and multi-unitaries.
Quantum Physics Mathematical Physics Mathematical Physics
no code implementations • NeurIPS 2019 • Rakshith Sharma Srinivasa, Kiryung Lee, Marius Junge, Justin Romberg
We address a low-rank matrix recovery problem where each column of a rank-r matrix X of size (d1, d2) is compressed beyond the point of recovery to size L with L << d1.
no code implementations • 28 Jun 2017 • Marius Junge, Kiryung Lee
The restricted isometry property (RIP) is a universal tool for data recovery.
no code implementations • 28 Jun 2017 • Marius Junge, Kiryung Lee
The restricted isometry property (RIP) is an integral tool in the analysis of various inverse problems with sparsity models.
no code implementations • 27 Sep 2016 • Li Gao, Marius Junge, Nicholas LaRacuente
Using operator space and complex interpolation techniques, we give perturbative capacities estimates for a wider class of quantum channels by comparison to TRO channels.
Quantum Physics Operator Algebras