11 citations · 28 across the 16 of their papers we have counts for
23 papers
An optimal quantum strategy for the -hat game
Georgios Baziotis, Sang-Jun Park, Sang-Gyun Youn
We study the two-player hat game as a two-input, three-output non-local game. We calculate the quantum commuting value and show that it coincides with the quantum one. In particula…
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…
Non-unitarizable representations of compact and discrete quantum groups
Fatemeh Khosravi, Sang-Gyun Youn
We study the similarity problem for representations of compact and discrete quantum groups. We first prove that every non-degenerate contractive representation of a compact or disc…
Twisted Fourier transforms on non-Kac compact quantum groups
Sang-Gyun Youn
We introduce an analytic family of twisted Fourier transforms for non-Kac compact quantum groups and establish a s…
An analytic characterization of freeness for finitely generated discrete quantum groups
Yoonje Jeong, Sang-Gyun Youn
We prove that a freer quantum group has smaller moments of the self-adjoint main character in the category of finitely generated discrete quantum groups. As a result, the moments a…
A Khintchine inequality for central Fourier series on non-Kac compact quantum groups
Sang-Gyun Youn
The study of Khintchin inequalities has a long history in abstract harmonic analysis. While there is almost no possibility of non-trivial Khintchine inequality for central Fourier…
A central limit theorem for partial transposes of multipartite Wishart matrices
Gyunam Park, Sang-Gyun Youn
The partial transposition from quantum information theory provides a new source to distill the so-called asymptotic freeness without the assumption of classical independence betwee…
-positivity and Schmidt number under orthogonal group symmetries
Sang-Jun Park, Sang-Gyun Youn
In this paper, we study -positivity and Schmidt number under standard orthogonal group symmetries. The Schmidt number is a natural quantification of entanglement in quantum info…
A universal framework for entanglement detection under group symmetry
Sang-Jun Park, Yeong-Gwang Jung, Jeongeun Park +1
One of the most fundamental questions in quantum information theory is PPT-entanglement of quantum states, which is an NP-hard problem in general. In this paper, however, we prove…
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…
Strong Haagerup inequalities on non-Kac free orthogonal quantum groups
Sang-Gyun Youn
We present natural analogues of strong Haagerup inequalities on non-Kac free orthogonal quantum groups in which -analytic problems are harder due to their non-tracial…
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…
Asymptotic analysis for -Temperley-Lieb quantum channels
Sang-Gyun Youn
In this paper, we focus on a class of quantum channels which are covariant for symmetries from free orthogonal quantum groups . These quantum channels are called -Tem…
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,…
Property RD and hypercontractivity for orthogonal free quantum groups
Michael Brannan, Roland Vergnioux, Sang-Gyun Youn
We prove that the twisted property RD fails to hold for all non Kac type, non amenable orthogonal free quantum groups. In the Kac case we revisit property RD, proving an analogue o…
Additivity violation of the regularized Minimum Output Entropy
Benoît Collins, Sang-Gyun Youn
The problem of additivity of the Minimum Output Entropy is of fundamental importance in Quantum Information Theory (QIT). It was solved by Hastings in the one-shot case, by exhibit…
Sobolev embedding properties on compact matrix quantum groups of Kac type
Sang-Gyun Youn
We establish sharp Sobolev embedding properties within a broad class of compact matrix quantum groups of Kac type under the polynomial growth or the rapid decay property of their d…
Temperley-Lieb quantum channels
Michael Brannan, Benoît Collins, Hun Hee Lee +1
We study a class of quantum channels arising from the representation theory of compact quantum groups that we call Temperley-Lieb quantum channels. These channels simultaneously ex…
Entropic uncertainty relations under localizations on discrete quantum groups
Sang-Gyun Youn
The uncertainty principle has been established within the framework of locally compact quantum groups in recent years. This paper demonstrates that entropic uncertainty relations c…
A theorem for random Fourier series on compact quantum groups
Sang-Gyun Youn
Helgason showed that a given measure on a compact group should be in automatically if all random Fourier series of are in . We explore a natural…
On the similarity problem for locally compact quantum groups
Michael Brannan, Sang-Gyun Youn
A well-known theorem of Day and Dixmier states that any uniformly bounded representation of an amenable locally compact group on a Hilbert space is similar to a unitary represe…
Hardy-Littlewood inequalities on compact quantum groups of Kac type
SangGyun Youn
The Hardy-Littlewood inequality on compares the -norm of a function with a weighted -norm of its Fourier coefficients. The approach has recently been stud…
New deformations of Convolution algebras and Fourier algebras on locally compact groups
Hun Hee Lee, SangGyun Youn
In this paper we introduce a new way of deforming convolution algebras and Fourier algebras on locally compact groups. We demonstrate that this new deformation allows us to reveal…