187 citations · 1.5k across the 105 of their papers we have counts for
6 papers · 1 filter
On the relation between completely bounded and -summing maps with applications to quantum XOR games
Marius Junge, Aleksander M. Kubicki, Carlos Palazuelos +1
In this work we show that, given a linear map from a general operator space into the dual of a C-algebra, its completely bounded norm is upper bounded by a universal constant t…
Approximately low-rank recovery from noisy and local measurements by convex program
Kiryung Lee, Rakshith Sharma Srinivasa, Marius Junge +1
Low-rank matrix models have been universally useful for numerous applications, from classical system identification to more modern matrix completion in signal processing and statis…
The Communication Value of a Quantum Channel
Eric Chitambar, Ian George, Brian Doolittle +1
There are various ways to quantify the communication capabilities of a quantum channel. In this work we study the communication value (cv) of channel, which describes the optimal s…
Notes on real interpolation of operator -spaces
Marius Junge, Quanhua Xu
Let be a semifinite von Neumann algebra. We equip the associated noncommutative -spaces with their natural operator space structure introduced by Pisier via comp…
Geometry of Banach spaces: a new route towards Position Based Cryptography
Marius Junge, Aleksander M. Kubicki, Carlos Palazuelos +1
In this work we initiate the study of Position Based Quantum Cryptography (PBQC) from the perspective of geometric functional analysis and its connections with quantum games. The m…
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.…