Showing math.OAShow all
3 papers · 1 filter
math.OA2026
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…
math.OA2026
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)…
math.OA2025
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…