3 papers
math.RT2024
Explicit Hilbert spaces for the unitary dual of rank one orthogonal groups and applications
Christian Arends, Frederik Bang-Jensen, Jan Frahm
We realize all irreducible unitary representations of the group on explicit Hilbert spaces of vector-valued -functions on .…
quant-ph2023
Decomposing large unitaries into multimode devices of arbitrary size
Christian Arends, Lasse Wolf, Jasmin Meinecke +3
Decomposing complex unitary evolution into a series of constituent components is a cornerstone of practical quantum information processing. While the decompostion of an …
math.SP2021
Spectral Correspondences for Rank One Locally Symmetric Spaces -- The Case of Exceptional Parameters
Christian Arends, Joachim Hilgert
In this paper we complete the program of relating the Laplace spectrum for rank one compact locally symmetric spaces with the first band Ruelle-Pollicott resonances of the geodesic…