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math-ph2026
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…
math.OA2026
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…