6 papers
Layer codes as partially self-correcting quantum memories
Shouzhen Gu, Libor Caha, Shin Ho Choe +3
We investigate layer codes, a family of three-dimensional stabilizer codes that can achieve optimal scaling of code parameters and a polynomial energy barrier, as candidates for se…
Constant-Time Surgery on 2D Hypergraph Product Codes with Near-Constant Space Overhead
Kathleen Chang, Zhiyang He, Theodore J. Yoder +2
Generalized code surgery is a versatile and low-overhead technique for performing fault-tolerant computation on quantum low-density parity-check (qLDPC) codes. In many settings, su…
Fast and fault-tolerant logical measurements: Auxiliary hypergraphs and transversal surgery
Alexander Cowtan, Zhiyang He, Dominic J. Williamson +1
Quantum code surgery is a promising technique to perform fault-tolerant computation on quantum low-density parity-check codes. Recent developments have significantly reduced the sp…
Characterization of permutation gates in the third level of the Clifford hierarchy
Zhiyang He, Luke Robitaille, Xinyu Tan
The Clifford hierarchy is a fundamental structure in quantum computation whose mathematical properties are not fully understood. In this work, we characterize permutation gates --…
Composable Quantum Fault-Tolerance
Zhiyang He, Quynh T. Nguyen, Christopher A. Pattison
Proving threshold theorems for fault-tolerant quantum computation is a burdensome endeavor with many moving parts that come together in relatively formulaic but lengthy ways. It is…
Asymptotically Good Quantum Codes with Addressable and Transversal Non-Clifford Gates
Zhiyang He, Vinod Vaikuntanathan, Adam Wills +1
Constructing quantum codes with good parameters and useful transversal gates is a central problem in quantum error correction. In this paper, we continue our work in arXiv:2502.018…