WebOct 18, 2024 · Authors: Jeongwan Haah, Matthew B. Hastings (Submitted on 18 Oct 2024 ( v1 ), last revised 18 Apr 2024 (this version, v2)) Abstract: We introduce a simple … WebJul 19, 2024 · Recently, Hastings-Haah-O'Donnell and Panteleev-Kalachev were the first to show that there exist families of LDPC quantum codes which break the polylog(N)√N distance barrier. However, their constructions are based on probabilistic arguments which only guarantee the code parameters with high probability whereas our bounds hold …
Floquet codes and phases in twist-defect networks
WebHastings, Matthew B., Haah, Jeongwan, and O'Donnell, Ryan. "Fiber bundle codes: breaking the n 1/2 polylog( n ) barrier for Quantum LDPC codes". Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing (). mark whiting builders
[1812.02101] Haah codes on general three manifolds
WebJan 1, 2024 · These type I siblings of Haah codes are better understood, and a generalized topological quantum field theory (TQFT) framework is proposed in [4]. Following the … WebDec 20, 2024 · Recently, Hastings & Haah introduced a quantum memory defined on the honeycomb lattice. Remarkably, this honeycomb code assembles weight-six parity checks using only two-local measurements. … WebFollowing the same conceptual framework, we outline a program to generalize Haah codes to all 3-manifolds using Hastings' LR stabilizer codes for finite groups. Haah codes … mark whitfield jazz guitar