5 papers
Entropy Contraction and Hypercontractivity for Gaussian Quantum Markov Semigroups
Zhengwei Liu, Jincheng Wan, Jinsong Wu
In this paper, we study finite-mode Gaussian quantum Markov semigroups with a faithful invariant Gaussian state. We present an algebraic characterization of the complete modified l…
Quantum Cheeger Inequalities for KMS-Symmetric Quantum Markov Semigroups
Jincheng Wan, Jinsong Wu
In this paper, we establish a quantum Cheeger inequality for primitive KMS-symmetric quantum Markov semigroups in terms of projection conductance. We discuss both projection conduc…
Bimodule KMS Symmetric Quantum Markov Semigroups and Gradient Flows
Chunlan Jiang, Jincheng Wan, Jinsong Wu
The bimodule KMS symmetry of a bimodule quantum Markov semigroup extends the classical KMS symmetry of a quantum Markov semigroup. Compared with (bimodule) GNS symmetry, the (bimod…
Bimodule Quantum Markov Semigroups
Jinsong Wu, Zishuo Zhao
We present a systematic investigation of bimodule quantum Markov semigroups within the framework of quantum Fourier analysis. We introduce the concepts of bimodule detailed balance…
Splitting Property of quasitriangular Hopf algebras
Jinsong Wu, Kun Zhou
We investigate the splitting property of quasitriangular Hopf algebras through the lens of twisted tensor products. Specifically, we demonstrate that an infinite-dimensional quasit…