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math-ph2014★ 9 cited
An uncertainty principle for unimodular quantum groups
Jason Crann, Mehrdad Kalantar
We present a generalization of Hirschman's entropic uncertainty principle for locally compact abelian groups to unimodular locally compact quantum groups. As a corollary, we streng…
math-ph2012★ 11 cited
Quantum channels arising from abstract harmonic analysis
Jason Crann, Matthias Neufang
We present a new application of harmonic analysis to quantum information by constructing intriguing classes of quantum channels stemming from specific representations of multiplier…