Modified logarithmic Sobolev inequality for 1D non-commuting Hamiltonians 14AMXF6X2V

URI	`m2://res/14AMXF6X2V`
Kind	preprint
Creators	Ángela Capel, David Pérez-García, Matteo Scandi
Date	2026-10-02
Subjects	arxiv quant-ph, arxiv cond-mat.stat-mech, arxiv math-ph, arxiv math.MP
Scope	border

Expressions

e1: version, preprint

Date	2026-10-02
Ids	arXiv 2610.03683

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Complete bounds at finite volume	statement	corollary 4.5	arxiv
Boundary correction to the marginal logarithm	statement	lemma 5.6	arxiv
Direct buffered regularised heat-bath inequality	statement	corollary A.2	arxiv
Stationarity, symmetry, and conditional expectations	statement	proposition 2.1	arxiv
Complete entropy estimates for an update	statement	proposition 2.2	arxiv
Uniform conditional gap	statement	theorem 4.1	arxiv
Entropy of the exterior-amplitude subspaces	statement	lemma 5.9	arxiv
7XZ75YBHV9	statement	lemma 7.3	arxiv
Shielding at logarithmic scales	statement	corollary 5.10	arxiv
Connected-cut expansion of the multipartite defect	statement	lemma 3.9	arxiv
947G0AJ57A	statement	lemma 7.2	arxiv
A common approximation in two norms	statement	lemma 5.3	arxiv
Weak quasi-factorisation	statement	theorem 3.1	arxiv
Entropy identities for a cover and for a union	statement	lemma 3.2	arxiv
Conditional entropy controlled by buffered energy	statement	theorem 6.1	arxiv
Locality of the conditional amplitude	statement	lemma 5.4	arxiv
Direct regularised heat-bath estimates	statement	proposition A.1	arxiv
Exact modular averaging	statement	lemma 4.6	arxiv
Uniform bounds and locality of expansionals	statement	lemma 3.7	arxiv
Araki estimates	statement	lemma 5.2	arxiv
Multiplicative comparison across a connected gap	statement	lemma 3.5	arxiv
Quasi-locality of the heat-bath sampler	statement	proposition 5.7	arxiv
Entropy decay and rapid mixing	statement	corollary 1.3	arxiv
Heat-bath and regularised heat-bath samplers	definition	definition 1.1	arxiv
Connected MCMI from relative approximation	statement	lemma 3.4	arxiv
QGJWQJ4ACN	statement	lemma 7.4	arxiv
Factorisation of separated marginals	statement	lemma 3.8	arxiv
Modified logarithmic Sobolev inequality	statement	theorem 1.2	arxiv
Exterior changes are almost fixed	statement	theorem 5.1	arxiv
TF601FZREC	statement	lemma 5.5	arxiv
X8E9G4XEM1	statement	proposition 8.1	arxiv
Entropy of a superposition	statement	lemma 6.2	arxiv
Exponential local indistinguishability	statement	lemma 3.6	arxiv
Removing a bounded entropy defect	statement	theorem 7.1	arxiv

Catalogue records

arxiv: 2610.03683 (work)