Asymptotically Optimal Mixed-State Cloning PBX6AMPVT2

URI	`m2://res/PBX6AMPVT2`
Kind	preprint
Creators	Jiani Fei, Jinzhao Wang
Date	2026-09-28
Subjects	arxiv quant-ph, arxiv math-ph, arxiv math.MP
Scope	border

Expressions

e1: version, preprint

Date	2026-09-28
Ids	arXiv 2609.35986

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
Uniform character normalization	statement	lemma A.2	arxiv
Flat-prior converse inequality	statement	proposition C.5	arxiv
Covariant-amplifier representation	statement	lemma C.3	arxiv
PBW Gram matrices at fixed height	statement	lemma A.1	arxiv
Uniform Cartan-sector fidelity	statement	proposition 2.3	arxiv
Fidelity of a lifted transition rule	statement	proposition 2.2	arxiv
Weighted fidelity bound	statement	lemma C.1	arxiv
Uniform Young concentration	statement	lemma 2.1	arxiv
Uniform Young local limit	statement	lemma B.1	arxiv
Finite-sample PCT factorization for projector states	statement	proposition D.2	arxiv
PCT's leading projector infidelity coefficient	statement	proposition D.3	arxiv
LAN fidelity transfer	statement	lemma 3.5	arxiv
Unknown-spectrum cloner fidelity and compact-set optimum	statement	theorem 1.2	arxiv
Fixed-spectrum LAN	statement	corollary 3.4	arxiv
Compact-observable limits of completely positive maps	statement	lemma C.2	arxiv
Factorization of the lifted fidelity	statement	lemma 2.5	arxiv
Least-noise moment	statement	proposition C.4	arxiv
Cloning projector states	statement	theorem 1.3	arxiv
Gaussian amplification optimum	statement	theorem 3.1	arxiv
Continuous limit of randomized dilation	statement	lemma B.2	arxiv
Exact rank-compression identity	statement	lemma 4.1	arxiv
Randomized Young-label dilation	statement	proposition 2.4	arxiv
Finite-dimensional LAN and target-sample scaling	statement	theorem 3.2	arxiv
Known-spectrum optimum	statement	theorem 1.1	arxiv
Projector converse	statement	proposition 4.2	arxiv
Comparison with purify--clone--trace	statement	theorem 1.4	arxiv
Werner occupation law	statement	lemma D.1	arxiv

Catalogue records

arxiv: 2609.35986 (work)