16 citations · 64 across the 27 of their papers we have counts for
35 papers
Dimension-free Riesz transform estimates on biased hypercubes via non-tracial baby Fock models
Hun Hee Lee, Zhendong Xu, Sang-gyun Youn +1
We study dimension-free Riesz transform estimates on hypercubes equipped with non-uniform product measures. For , we prove a dimension-free Meyer inequality for the…
Analytic subalgebras of Beurling-Fourier algebras and complexification of Lie groups
Heon Lee, Hun Hee Lee
In this paper, we focus on how we can interpret the actions of the elements in the Gelfand spectrum of a weighted Fourier algebra on connected Lie groups. They can be viewed as eva…
New tensor products of C*-algebras and characterization of type I C*-algebras as rigidly symmetric C*-algebras
Hun Hee Lee, Ebrahim Samei, Matthew Wiersma
We construct several new classes of bifunctors , where is a cross norm completion of for each pair of C*-algebras and . F…
Gaussian quantum information over general quantum kinematical systems I: Gaussian states
Cedric Beny, Jason Crann, Hun Hee Lee +2
We develop a theory of Gaussian states over general quantum kinematical systems with finitely many degrees of freedom. The underlying phase space is described by a locally compact…
Irreducibly -covariant quantum channels of low rank
Euijung Chang, Jaeyoung Kim, Hyesun Kwak +2
We investigate information theoretic properties of low rank (less than or equal to 3) quantum channels with -symmetry, where we have a complete description. We prove that PP…
Quantum channels with quantum group symmetry
Hun Hee Lee, Sang-Gyun Youn
In this paper we will demonstrate that any compact quantum group can be used as symmetry groups for quantum channels, which leads us to the concept of covariant channels. We, then,…