20 citations · 60 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II
Lakshya Bhardwaj, Sakura Schafer-Nameki, Apoorv Tiwari +1
We use the Symmetry Topological Field Theory (SymTFT) to systematically characterize gapped phases in 2+1 dimensions with categorical symmetries. The SymTFTs that we consider are (…
Gapless Phases in (2+1)d with Non-Invertible Symmetries
Lakshya Bhardwaj, Yuhan Gai, Sheng-Jie Huang +4
The study of gapless phases with categorical (or so-called non-invertible) symmetries is a formidable task, in particular in higher than two space-time dimensions. In this paper we…