Refined sample complexities from the tomographic rate function 9MXMRKFKDW

URI	`m2://res/9MXMRKFKDW`
Kind	preprint
Creators	Arick Grootveld, Alexander Maloney, Jason Pollack, Peixue Wu
Date	2026-09-30
Subjects	arxiv quant-ph, arxiv cs.IT, arxiv math-ph, arxiv math.IT, arxiv math.MP, arxiv math.PR
Scope	border

Expressions

Date	2026-09-30
Ids	arXiv 2609.40271

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

Item	Kind	Where	Source
Distance-dependent sample complexity	definition	definition 3.2	arxiv
Rate function	definition	definition 3.3	arxiv
General PGM exponent	statement	theorem 5.1	arxiv
$I_{\beta, \gamma}$ divergence	definition	definition 2.1	arxiv
LDP for covariant tomography	statement	theorem 3.8	arxiv
Schur orthogonality	statement	lemma 2.3	arxiv
Highest-weight projection	statement	lemma 2.5	arxiv
Representation-theoretic estimates	statement	lemma 2.4	arxiv
Basic properties of $I_{\beta,\gamma}$	statement	proposition 2.2	arxiv
Equivalence of the LDP and the Laplace principle	statement	lemma 3.5	arxiv
Exponent for weak-Schur sampling Hilbert-Schmidt PGM	statement	theorem 5.2	arxiv
Separation of sample complexity	statement	theorem 1.2	arxiv
KYRG5Z9H0E	definition	definition 3.1	arxiv
LDP for seed-induced tomography	statement	proposition 4.1	arxiv
NPWGW6C3S9	example	example 3.1	arxiv
Relationships between rate functions	statement	theorem 1.1	arxiv
Evaluation of the rate function	statement	lemma 3.7	arxiv
Haah rate function	statement	theorem 4.3	arxiv
Keyl upper bound	statement	lemma 6.1	arxiv
PGM lower bound	statement	lemma 6.2	arxiv
Large deviation principle	definition	definition 3.4	arxiv
Contraction principle	statement	lemma 3.6	arxiv
Keyl's rate function	statement	theorem 4.2	arxiv
Separation of sample complexity	statement	theorem 6.3	arxiv