Good Quantum Locally Testable Codes from Lossless Cubical Complexes JN34PDDXH8
| URI | m2://res/JN34PDDXH8 |
|---|---|
| Kind | preprint |
| Creators | Itay Cohen, Itai Leigh, Assaf Reiner, Amnon Ta-Shma, Elad Tzalik |
| Date | 2026-09-30 |
| Subjects | arxiv quant-ph, arxiv cs.CC, arxiv cs.IT, arxiv math.IT |
| Scope | out |
Expressions
e1: version, preprint
| Date | 2026-09-30 |
|---|---|
| Ids | arXiv 2610.00525 |
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 |
|---|---|---|---|
| Excess recursion | statement | theorem 4.4 | arxiv |
| 16D4AXT745 | statement | lemma 3.6 | arxiv |
| Minimality | definition | definition 2.15 | arxiv |
| informal | statement | theorem 1.2 | arxiv |
| 332HT8Y2Z7 | statement | theorem 4.10 | arxiv |
| Decorated cube complex | definition | definition 2.4 | arxiv |
| 63MP5DX6YX | statement | lemma 5.4 | arxiv |
| Robust small-set coboundary expansion at an arbitrary level | statement | theorem 1.3 | arxiv |
| 78RHF5TWKD | statement | theorem 3.1 | arxiv |
| Recursive excess bound | statement | lemma 4.3 | arxiv |
| 856K1MVHXK | statement | corollary 3.4 | arxiv |
| One-sided lossless bigraph | definition | definition 2.17 | arxiv |
| Small-set coboundary expansion | definition | definition 2.16 | arxiv |
| Decorated simplicial complex | definition | definition 2.2 | arxiv |
| 933EHA1EPD | statement | theorem 3.8 | arxiv |
| Simplicial complex | definition | definition 2.1 | arxiv |
| Local-to-global comparison | statement | proposition 4.2 | arxiv |
| CAEQVGZZRN | statement | corollary 3.5 | arxiv |
| Switching ordered paths | statement | lemma 3.3 | arxiv |
| D8RJD6DC5B | statement | lemma 4.7 | arxiv |
| DDY9MWR7WX | statement | lemma 2.19 | arxiv |
| qLTC from a $(4,2)$-cubical complex | statement | theorem 5.5 | arxiv |
| Quantum CSS code | definition | definition 5.2 | arxiv |
| HPHMKJW2C4 | statement | lemma 4.6 | arxiv |
| JTJMH7PZAY | statement | proposition 5.6 | arxiv |
| NMHB2ES93Z | statement | corollary 4.9 | arxiv |
| PEYZKMADVP | statement | lemma 2.10 | arxiv |
| PWTXPT561C | statement | lemma 2.6 | arxiv |
| Q786J0HAZ3 | statement | lemma 2.14 | arxiv |
| Completion properties | definition | definition 2.5 | arxiv |
| $(k,r)$-cubical complex | definition | definition 2.7 | arxiv |
| Link | definition | definition 2.13 | arxiv |
| S9XAQW0F05 | statement | lemma 2.12 | arxiv |
| Classical Locally Testable Code (LTC | definition | definition 5.1 | arxiv |
| Lossless cubical complex | definition | definition 2.18 | arxiv |
| Cube-decorated graph | definition | definition 2.3 | arxiv |
| Terminal vertices | definition | definition 4.1 | arxiv |
| WF6Y6K9HJ7 | statement | theorem 3.2 | arxiv |
| Quantum Locally Testable CSS Code (qLTC) {\protect\footnotemark | definition | definition 5.3 | arxiv |
| XJN92W5PW6 | statement | theorem 1.1 | arxiv |
| Iterated excess bound | statement | corollary 4.5 | arxiv |
| Heavy-mass propagation | statement | lemma 4.8 | arxiv |
| ZKVFYSZ538 | statement | lemma 3.7 | arxiv |
Catalogue records
- arxiv: 2610.00525 (work)