3 citations · 6 across the 10 of their papers we have counts for
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Equivalence of states and bimodule quantum channels
Linzhe Huang, Chunlan Jiang, Zhengwei Liu +1
We study the action of quantum channels on states on a von Neumann algebra with conserved quantities encoded by a subalgebra . We define a phase as an eq…
Free semigroupoid algebras and the first cohomology groups
Linzhe Huang, Minghui Ma
This paper investigates derivations of the free semigroupoid algebra of a countable or uncountable directed graph and its norm-closed version, the tensor algeb…
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…
Hochschild cohomology for free semigroup algebras
Linzhe Huang, Minghui Ma, Xiaomin Wei
This paper focuses on the cohomology of operator algebras associated with the free semigroup generated by the set , with the left regular free semigroup algebra $\…
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,…
Thompson's semigroup and the first Hochschild cohomology
Linzhe Huang
In this paper, we apply the theory of algebraic cohomology to study the amenability of Thompson's group . We introduce the notion of unique factorization semigroup whi…
On cleanness of von Neumann algebras
Lu Cui, Linzhe Huang, Wenming Wu +2
A unital ring is called clean (resp. strongly clean) if every element can be written as the sum of an invertible element and an idempotent (resp. an invertible element and an idemp…