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The R\'enyi area law conjecture is false below $\alpha=1$ in high dimensions EVFTDVP4K4

URI	`m2://res/EVFTDVP4K4`
Kind	preprint
Creators	Tomotaka Kuwahara
Date	2026-10-10
Subjects	arxiv quant-ph, arxiv cond-mat.dis-nn, arxiv cond-mat.stat-mech, arxiv math-ph, arxiv math.MP
Scope	border

Expressions

e1: version, preprint

Date	2026-10-10
Ids	arXiv 2610.15199

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
Local construction and finite-size Schmidt tail	statement	theorem B.2	arxiv
Variational projection lemma	statement	lemma C.2	arxiv
One-dimensional finite-temperature transfer	statement	theorem H.1	arxiv
Cut count for an absolutely convergent series	statement	lemma C.3	arxiv
Row Poincar\'e estimate	statement	lemma D.1	arxiv
Accuracy-dependent rank lower bounds	statement	corollary B.3	arxiv
AGSP upper bound	statement	theorem B.1	arxiv
Poincar\'e--resolvent inequality	statement	lemma E.2	arxiv
Uniformly gapped product-state path	statement	proposition G.1	arxiv
R\'enyi volume laws	statement	corollary F.1	arxiv
Exponential energy moment	statement	lemma C.1	arxiv
Rank-one well with an illegal-sector penalty	statement	lemma D.3	arxiv
Joint one-dimensional thermal lower bound	statement	corollary H.3	arxiv
Finite-rank approximation of a Duhamel coefficient	statement	lemma C.4	arxiv
Exact history representation and Bell extraction	statement	lemma D.2	arxiv
Area/volume separation in an adiabatically connected family	statement	corollary G.2	arxiv
Transfer of a Schmidt tail to every purification	statement	lemma H.2	arxiv
Startup amplitude	statement	lemma E.1	arxiv
Joint temperature--accuracy lower bound in one dimension	statement	proposition H.4	arxiv

Catalogue records

arxiv: 2610.15199 (work)