88 citations · 679 across the 36 of their papers we have counts for
36 papers
Fundamental Limit on the Power of Entanglement Assistance in Quantum Communication
Lasse H. Wolff, Paula Belzig, Matthias Christandl +2
The optimal rate of reliable communication over a quantum channel can be enhanced by pre-shared entanglement. Whereas the enhancement may be unbounded in infinite-dimensional setti…
The Spectrum of Asymptotic Cayley Trees
Bergfinnur Durhuus, Thordur Jonsson, John Wheater
We characterize the spectrum of the transition matrix for simple random walk on graphs consisting of a finite graph with a finite number of infinite Cayley trees attached. We show…
Tip of the Quantum Entropy Cone
Matthias Christandl, Bergfinnur Durhuus, Lasse Harboe Wolff
Relations among von Neumann entropies of different parts of an -partite quantum system have direct impact on our understanding of diverse situations ranging from spin systems to…
From Trees to Gravity
Bergfinnur Durhuus, Thordur Jonsson, John Wheater
In this article we study two related models of quantum geometry: generic random trees and two-dimensional causal triangulations. The Hausdorff and spectral dimensions that arise in…
Local limits of one-sided trees
Bergfinnur Durhuus, Meltem Ünel
A finite \emph{one-sided tree} of height is defined as a rooted planar tree obtained by grafting branches on one side, say the right, of a spine, i.e. a linear path of length $…
Trees with power-like height dependent weight
Bergfinnur Durhuus, Meltem Ünel
We consider planar rooted random trees whose distribution is even for fixed height and size and whose height dependence is given by a power function . Defining the tot…