9 papers
Twin Phases: Intrinsic Deconfined Quantum Criticality
Alison Warman, Yuhan Gai, Sakura Schafer-Nameki
We introduce the concept of twin phases for a symmetry , defined as inequivalent phases, whose order parameters are part of the same generalized charge under $\mathcal…
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…
Twin Algebras: Condensable Algebras beyond Anyons
Yuhan Gai, Sakura Schafer-Nameki, Alison Warman
Condensable algebras in 2+1d non-chiral topological orders characterize gapped boundary conditions and interfaces. Applied to the Symmetry Topological Field Theory, they allow clas…
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…
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…
Categorical Symmetries in Spin Models with Atom Arrays
Alison Warman, Fan Yang, Apoorv Tiwari +2
Categorical symmetries have recently been shown to generalize the classification of phases of matter, significantly broadening the traditional Landau paradigm. To test these predic…