5 papers
Phenomenological Noise Models and Optimal Thresholds of the 3D Toric Code
Ji-Ze Xu, Yin Zhong, Miguel A. Martin-Delgado +2
Three-dimensional (3D) topological codes offer the advantage of supporting fault-tolerant implementations of non-Clifford gates, yet their performance against realistic noise remai…
Non-Abelian Particle-Loop, Fracton, and Planon Condensation in Cage-Net Models
Yifei Wang, Yu Zhao, Yingcheng Li +2
We present a framework for non-Abelian p-loop, fracton, and planon condensation in 3+1 dimensions by constructing extended cage-net fracton models using decoupled layers of the Hu-…
Error Resilience of Fracton Codes and Near Saturation of Code-Capacity Threshold in Three Dimensions
Giovanni Canossa, Lode Pollet, Miguel A. Martin-Delgado +2
Fracton codes have been intensively studied as novel topological states of matter, yet their fault-tolerant properties remain largely unexplored. Here, we investigate the optimal t…
Anyon Theory and Topological Frustration of High-Efficiency Quantum Low-Density Parity-Check Codes
Keyang Chen, Yuanting Liu, Yiming Zhang +4
Quantum low-density parity-check (QLDPC) codes offer a promising path to low-overhead fault-tolerant quantum computation but lack systematic strategies for exploration. In this Let…
Generalized toric codes on twisted tori for quantum error correction
Zijian Liang, Ke Liu, Hao Song +1
The Kitaev toric code is widely considered one of the leading candidates for error correction in fault-tolerant quantum computation. However, direct methods to increase its logical…