Tight entropy contraction beyond detailed balance

arXiv:2609.24953 · quant-ph · Submitted 2026-09-21 · Read on arXiv

quant-ph

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Trace — 10× in this paper · explained in 2 episodes
• Spectral Gap — 4× in this paper · explained in 5 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Core — 1× in this paper · explained in 2 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes

Sources

• Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions
• Quantum Entropy Contraction and Factorization from Hypercontractivity
• Monotone Riemannian Metrics and Relative Entropy on Non-Commutative Probability Spaces
• Mimicking a Squeezed Bath Interaction: Quantum Reservoir Engineering with Atoms
• Another Short and Elementary Proof of Strong Subadditivity of Quantum Entropy
• The KMS and GNS Spectral Gap of Quantum Markov Semigroups

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