Amenable groups with nearly exponential sofic profile, and quantum channels that need nearly linear memory WBXAW9G4JB
| URI | m2://res/WBXAW9G4JB |
|---|---|
| Kind | preprint |
| Creators | Seth Douglas, Nidhal Mghirbi |
| Date | 2026-10-03 |
| Subjects | arxiv quant-ph, arxiv math.GR |
| Scope | out |
Expressions
e1: version, preprint
| Date | 2026-10-03 |
|---|---|
| Ids | arXiv 2610.04271 |
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 |
|---|---|---|---|
| Weighted extraction | statement | lemma C.1 | arxiv |
| 2JCH25VT23 | statement | theorem 11.1 | arxiv |
| Exact $S_3$ rounding | statement | lemma B.1 | arxiv |
| The clock | statement | lemma 6.2 | arxiv |
| Preparation time | statement | corollary 15.2 | arxiv |
| Charged area | statement | lemma C.2 | arxiv |
| Weighted sector bound | statement | theorem C.6 | arxiv |
| An expensive autonomous limit | statement | proposition 15.6 | arxiv |
| The lamp channel at the rank rate | statement | corollary 12.3 | arxiv |
| Embedding in $3V$ | statement | proposition 7.2 | arxiv |
| Gap coding | statement | lemma 8.2 | arxiv |
| Phase-robust sector bound | statement | theorem B.3 | arxiv |
| Purity budget | statement | proposition 13.1 | arxiv |
| Point stabilizers | statement | lemma A.2 | arxiv |
| The dyadic group | statement | theorem 8.1 | arxiv |
| Affine hashing | statement | lemma 6.1 | arxiv |
| Dehn function | statement | proposition A.3 | arxiv |
| A4X0V526XC | statement | corollary C.7 | arxiv |
| Sofic models give devices | statement | proposition 12.1 | arxiv |
| AYVMDNV2FX | statement | theorem | arxiv |
| The F\o lner function | statement | proposition 7.3 | arxiv |
| Thompson transport | statement | proposition 8.3 | arxiv |
| BNS7SZZWTS | definition | definition | arxiv |
| Amplification | statement | corollary 10.2 | arxiv |
| Hash models | statement | proposition 6.3 | arxiv |
| Finite permutations | statement | lemma A.1 | arxiv |
| Block extraction | statement | lemma E.3 | arxiv |
| Commutator form of the one-round theorem | statement | lemma E.1 | arxiv |
| Exact rounding | statement | lemma C.3 | arxiv |
| Counting criterion | statement | theorem 2.1 | arxiv |
| A return inequality | statement | proposition F.1 | arxiv |
| Hyperlinearity transfer | statement | proposition 8.4 | arxiv |
| KJTN2Y0KCG | statement | theorem | arxiv |
| Finite tracial approximations of the lamp channel | statement | corollary 14.1 | arxiv |
| MDAJ4W6JVB | statement | theorem 3.3 | arxiv |
| Autonomy without locality | statement | proposition 15.4 | arxiv |
| Streaming at the rank rate | statement | theorem 12.2 | arxiv |
| Autonomous limits are self-adjoint | statement | proposition 15.3 | arxiv |
| Local fillings | statement | lemma 4.2 | arxiv |
| Transfer to the reference | statement | lemma C.5 | arxiv |
| Surprisal variance | statement | lemma 13.2 | arxiv |
| R2NCXN8VB5 | statement | lemma 3.1 | arxiv |
| Adjoint compositions of gadgets are exact finite factors | statement | proposition F.3 | arxiv |
| T6PNAYPRVN | definition | definition | arxiv |
| Weighted one-round theorem | statement | theorem 10.1 | arxiv |
| Sequential extraction | statement | theorem 9.1 | arxiv |
| Pair areas | statement | theorem 5.1 | arxiv |
| Transport by the powers of one element | statement | corollary 2.2 | arxiv |
| Finite presentation | statement | proposition 7.1 | arxiv |
| Projection products | statement | lemma C.4 | arxiv |
| Weighted intertwining | statement | lemma E.2 | arxiv |
| Y4EHM15R7R | statement | theorem A | arxiv |
| YVGHGH5775 | statement | theorem | arxiv |
| Change of transporter | statement | lemma 4.1 | arxiv |
| Local reservoirs are cheap at every finite time | statement | proposition 15.1 | arxiv |
| ZX784NH9F7 | statement | lemma 3.2 | arxiv |
| Entropic sector bound | statement | lemma B.2 | arxiv |
Catalogue records
- arxiv: 2610.04271 (work)