65 citations · 379 across the 38 of their papers we have counts for
39 papers
Error Basis and Quantum Channel
B. V. Rajarama Bhat, Purbayan Chakraborty, Uwe Franz
The Weyl operators give a convenient basis of which is also orthonormal with respect to the Hilbert-Schmidt inner product. The properties of such a basis can be g…
Schoenberg Correspondence for -(Super)Positive Maps on Matrix Algebras
B. V. Rajarama Bhat, Purbayan Chakraborty, Uwe Franz
We prove a Schoenberg-type correspondence for non-unital semigroups which generalizes an analogous result for unital semigroup proved by Michael Schürmann. It characterizes the gen…
Connectedness and Gaussian Parts for Compact Quantum Groups
Uwe Franz, Amaury Freslon, Adam Skalski
We introduce the Gaussian part of a compact quantum group , namely the largest quantum subgroup of supporting all the Gaussian functionals of .…
De Finetti Theorems for the Unitary Dual Group
Isabelle Baraquin, Guillaume Cébron, Uwe Franz +2
We prove several de Finetti theorems for the unitary dual group, also called the Brown algebra. Firstly, we provide a finite de Finetti theorem characterizing -diagonal elements…
Second cohomology groups of the Hopf-algebras associated to universal unitary quantum groups
Biswarup Das, Uwe Franz, Anna Kula +1
We compute the second (and the first) cohomology groups of -algebras associated to the universal quantum unitary groups of not neccesarily Kac type, extending our earlier resul…
Lévy processes on the Lorentz-Lie algebra
Ameur Dhahri, Uwe Franz
Lévy processes in the sense of Schürmann on the Lie algebra of the Lorentz grouop are studied. It is known that only one of the irreducible unitary representations of the Lorentz g…