4 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…
Some entropic inequalities for primitive KMS symmetric quantum Markov semigroups
Zhengwei Liu, Jincheng Wan, Jinsong Wu
In this note, we prove that every primitive KMS-symmetric quantum Markov semigroup on a finite-dimensional matrix algebra satisfies a modified logarithmic Sobolev inequality (MLSI)…
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…