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quant-ph2026
Constant-Depth Clifford-Hierarchy Gates via Non-Abelian Surface Codes
Alison Warman, Sakura Schafer-Nameki
We present an entirely 2D constant-depth realization of topologically protected phase gates at any level of the Clifford hierarchy, and beyond, using non-Abelian surface codes. Our…
quant-ph2026
Hybrid Lattice Surgery: Non-Clifford Gates via Non-Abelian Surface Codes
Sheng-Jie Huang, Alison Warman, Sakura Schafer-Nameki +1
In universal fault-tolerant quantum computing, implementing logical non-Clifford gates often demands substantial spacetime resources for many error-correcting codes, including the…
quant-ph2025
SymTFT Approach for Mixed States with Non-Invertible Symmetries
Sakura Schafer-Nameki, Apoorv Tiwari, Alison Warman +1
We develop a general framework for studying phases of mixed states with strong and weak symmetries, including non-invertible or categorical symmetries. The central idea is to consi…