Transmitting algebras through quantum channels CA4C9PFM1E
| URI | m2://res/CA4C9PFM1E |
|---|---|
| Kind | preprint |
| Creators | Robert Salzmann, Satvik Singh |
| Date | 2026-09-30 |
| Subjects | arxiv quant-ph, arxiv math-ph, arxiv math.MP |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-09-30 |
|---|---|
| Ids | arXiv 2609.40054 |
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 |
|---|---|---|---|
| 1KQZ6A75HH | statement | theorem 2.5.4 | arxiv |
| 1TNVT2FGMG | statement | theorem 4.2.6 | arxiv |
| 23Q0JFPCY0 | statement | proposition 6.3.3 | arxiv |
| Finite generation implies polynomial growth | statement | lemma 5.2.1 | arxiv |
| 2SZT2R7DVW | statement | lemma 5.1.1 | arxiv |
| One-shot zero-error capacities | definition | definition 2.2.4 | arxiv |
| 3F5NP4HQVA | statement | lemma 3.1.5 | arxiv |
| Embedding preorder | definition | definition 1.2.1 | arxiv |
| 45CT6XGERR | example | example 4.3.2 | arxiv |
| Embedding preorder | definition | definition 2.1.1 | arxiv |
| 4DKDWWPC6X | statement | lemma 6.3.1 | arxiv |
| 4QXS8EYG4T | definition | definition 4.2.3 | arxiv |
| Universal upper bound | statement | proposition 5.2.2 | arxiv |
| 53HCM4GA9T | statement | lemma 5.3.4 | arxiv |
| Embedding blocks of size at most three | statement | lemma 4.1.9 | arxiv |
| 6XJSFZYVX9 | statement | theorem 4.3.1 | arxiv |
| 74HAEVV1YN | statement | lemma 3.1.3 | arxiv |
| 79P5H51KHQ | definition | definition 1.1.1 | arxiv |
| Complete criterion for $d_{\max}\leq3$ | statement | corollary 4.1.10 | arxiv |
| Finite obstruction bound | statement | lemma 4.1.6 | arxiv |
| 9RJTXZ3P8H | statement | theorem 4.2.1 | arxiv |
| Embedding equal matrix blocks | statement | lemma 4.1.1 | arxiv |
| B1G7H4JA35 | definition | definition 2.5.1 | arxiv |
| B5303TG0KQ | statement | theorem 2.2.5 | arxiv |
| BG719FB5ZG | statement | theorem 4.1.2 | arxiv |
| BJGK5S2CP4 | definition | definition 2.2.1 | arxiv |
| Kernel converse | statement | lemma 3.2.5 | arxiv |
| BR7KGKSTP3 | statement | proposition 5.3.1 | arxiv |
| CN7PHFW8HS | statement | lemma 5.3.2 | arxiv |
| ECJ2YXEVQH | statement | corollary 3.1.7 | arxiv |
| EJS5ZQWK88 | statement | lemma 2.2.9 | arxiv |
| EXN571SHAG | definition | definition 2.4.1 | arxiv |
| Independence numbers | definition | definition 2.2.3 | arxiv |
| Quantum channel without dominating transmittable algebra | example | example 4.0.3 | arxiv |
| J5XDHP5241 | statement | lemma 5.3.3 | arxiv |
| Dominating algebra exists in small dimensions | statement | proposition 4.0.4 | arxiv |
| M7ZKVXNV8M | statement | lemma 2.2.8 | arxiv |
| MBXJNNA7JZ | definition | definition 3.1.4 | arxiv |
| MDBA7YAV47 | definition | definition 2.2.7 | arxiv |
| NAS9F30F3S | statement | theorem 2.5.2 | arxiv |
| NRJ87P5NN2 | statement | lemma 2.2.6 | arxiv |
| P3GWY3R72Q | problem | problem 1.2.2 | arxiv |
| Faithful representation dimension | statement | lemma 2.1.2 | arxiv |
| Forbidden algebra types | definition | definition 4.1.5 | arxiv |
| QSD6A43A56 | statement | lemma 3.1.6 | arxiv |
| QYWXG2HDCJ | statement | lemma 4.2.4 | arxiv |
| Full-support spectral converse | statement | lemma 3.2.4 | arxiv |
| Capacity converse | statement | lemma 3.2.3 | arxiv |
| Finite characterization of dominating algebras | statement | theorem 4.1.7 | arxiv |
| S9M2SJ95PG | statement | corollary 4.1.3 | arxiv |
| STNBEQGWFF | statement | theorem 2.5.3 | arxiv |
| TV6J3DS20A | definition | definition 4.2.5 | arxiv |
| Kraus-geometric converse bounds | statement | lemma 3.2.1 | arxiv |
| TZ179HCB4N | statement | lemma 2.2.10 | arxiv |
| Dominating and maximal transmittable algebras | definition | definition 4.0.1 | arxiv |
| WNJHFGM36P | problem | problem 1.0.1 | arxiv |
| Complete criterion from hybrid capacities | statement | corollary 4.1.8 | arxiv |
| XGG19F2WXQ | statement | corollary 4.2.2 | arxiv |
| Quantum channel without dominating transmittable algebra | example | example 4.0.2 | arxiv |
| Domination is not stable under tensor products | statement | theorem 5.1.2 | arxiv |
| Z6N103QPG6 | definition | definition 3.1.1 | arxiv |
Catalogue records
- arxiv: 2609.40054 (work)