3 citations · 8 across the 11 of their papers we have counts for
8 papers · 1 filter
Intertwining Properties for Bimodule Quantum Markov Semigroups
Chunlan Jiang, Jincheng Wang, Jinsong Wu
In this paper, we study the Bakry-Émery estimates for GNS- and KMS-symmetric semigroups in terms of the Fourier multiplier of the gradient form and the iterated gradient form in th…
Phase Group Categories of Bimodule Quantum Channels
Linzhe Huang, Chunlan Jiang, Zhengwei Liu +1
In this paper, we study the quantum channel on a von Neuamnn algebra preserving a von Neumann subalgebra , namely an --bimodule…
The Quantum Perron-Frobenius Space
Linzhe Huang, Arthur Jaffe, Zhengwei Liu +1
We introduce -positive elements in planar algebras. We establish the Perron-Frobenius theorem for -positive elements. We study the existence and uniquen…
Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification
Linzhe Huang, Zhengwei Liu, Sebastien Palcoux +1
In this paper, we investigate quantum Fourier analysis on subfactors and unitary fusion categories. We prove the complete positivity of the comultiplication for subfactors and deri…
Quantum convolution inequalities on Frobenius von Neumann algebras
Linzhe Huang, Zhengwei Liu, Jinsong Wu
In this paper, we introduce Frobenius von Neumann algebras and study quantum convolution inequalities. In this framework, we unify quantum Young's inequality on quantum symmetries…
Quantum smooth uncertainty principles for von Neumann bi-algebras
Linzhe Huang, Zhengwei Liu, Jinsong Wu
In this article, we prove various smooth uncertainty principles on von Neumann bi-algebras, which unify numbers of uncertainty principles on quantum symmetries, such as subfactors,…