REVIEW 1 cited by
High-dimensional Expansion of Product Codes is Stronger than Robust and Agreement Testability
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
High-dimensional Expansion of Product Codes is Stronger than Robust and Agreement Testability
read the original abstract
We study the coboundary expansion property of product codes called product expansion, which played a key role in all recent constructions of good qLDPC codes. It was shown before that this property is equivalent to robust testability and agreement testability for products of two codes with linear distance. First, we show that robust testability for product of many codes with linear distance is equivalent to agreement testability. Second, we provide an example of product of three codes with linear distance which is robustly testable but not product expanding.
Forward citations
Cited by 1 Pith paper
-
Transversal non-Clifford gates on almost-good quantum LDPC and quantum locally testable codes
Almost-good qLDPC and qLTC codes admit nontrivial transversal logical multi-controlled-Z gates via cohomological cup products and two-way product-expanding punctured Reed–Solomon local codes.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.