Search Results for author: Marius Junge

Found 6 papers, 0 papers with code

Geometric Approach Towards Complete Logarithmic Sobolev Inequalities

no code implementations8 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

Quantum Secret Sharing and Tripartite Information

no code implementations15 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

Decentralized sketching of low rank matrices

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.

Generalized notions of sparsity and restricted isometry property. Part I: A unified framework

no code implementations28 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.

Dimensionality Reduction

Generalized notions of sparsity and restricted isometry property. Part II: Applications

no code implementations28 Jun 2017 Marius Junge, Kiryung Lee

The restricted isometry property (RIP) is a universal tool for data recovery.

Capacity Estimates via comparison with TRO channels

no code implementations27 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

Cannot find the paper you are looking for? You can Submit a new open access paper.