145 citations · 396 across the 23 of their papers we have counts for
27 papers
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…
Continuous valuations on the space of Lipschitz functions on the sphere
Andrea Colesanti, Daniele Pagnini, Pedro Tradacete +1
We study real-valued valuations on the space of Lipschitz functions over the Euclidean unit sphere . After introducing an appropriate notion of convergence, we show that c…
Quantum one way vs. classical two way communication in XOR games
Abderramán Amr, Ignacio Villanueva
In this work we give an example of exponential separation between quantum and classical resources in the setting of XOR games assisted with communication. Specifically, we show an…
Dot product invariant valuations on Lip
Andrea Colesanti, Daniele Pagnini, Pedro Tradacete +1
We provide an integral representation for continuous, rotation invariant and dot product invariant valuations defined on the space Lip of Lipschitz continuous functions…
Optimal non-signalling violations via tensor norms
Abderraman Amr, Carlos Palazuelos, Ignacio Villanueva
In this paper we characterize the set of bipartite non-signalling probability distributions in terms of tensor norms. Using this characterization we give optimal upper and lower bo…
Daugavet property in tensor product spaces
Abraham Rueda Zoca, Pedro Tradacete, Ignacio Villanueva
We study the Daugavet property in tensor products of Banach spaces. We show that has the Daugavet property when and are purely…