20 citations · 60 across the 12 of their papers we have counts for
13 papers
Exact Recovery for Non-Abelian Surface Codes
Alison Warman, Nathanan Tantivasadakarn, Sakura Schafer-Nameki
We study exact recovery for non-Abelian topological surface codes based on the quantum double of any finite group . We determine an orthogonal error basis, that is compri…
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…
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…
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…
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…
Non-Invertible Symmetries in 6d from Green-Schwarz Automorphisms
Fabio Apruzzi, Sakura Schafer-Nameki, Alison Warman
We construct non-invertible symmetries in 6d superconformal field theories that arise from Green-Schwarz (GS) automorphisms, which form abelian or non-abelian g…
Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I
Lakshya Bhardwaj, Daniel Pajer, Sakura Schafer-Nameki +3
We use the Symmetry Topological Field Theory (SymTFT) to study and classify gapped phases in (2+1)d for a class of categorical symmetries, referred to as being of bosonic type. The…
Hasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries
Lakshya Bhardwaj, Daniel Pajer, Sakura Schafer-Nameki +1
We discuss (1+1)d gapless phases with non-invertible global symmetries, also referred to as categorical symmetries. This includes gapless phases showing properties analogous to gap…
Superconformal anomalies from superconformal Chern-Simons polynomials
Camillo Imbimbo, Davide Rovere, Alison Warman
We consider the 4-dimensional Lie superconformal algebra and search for completely "symmetric" (in the graded sense) 3-index invariant tensors. The solution we find…