55 citations · 118 across the 13 of their papers we have counts for
14 papers
Clifford-hierarchy stabilizer formalism with applications to twisted quantum doubles
Christopher Fechisin, Kieran Cooney, Mathi Raja +4
Recent work has shown that quantum double models can be used to circumvent the Bravyi-Koenig bound. In particular, this is achieved through code-switching protocols in which non-Pa…
Non-invertible symmetry enriched string net topological orders
Luisa Eck, Peter Huston, Kyle Kawagoe +1
We propose a definition of a non-invertible symmetry enriched topological order (NI-SETO), and we implement our definition for string net models. We do so in two ways, using full i…
Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems
Kyle Kawagoe, Wilbur Shirley
We describe a method for computing the anomaly of any finite unitary symmetry group acting by finite-depth quantum circuits on a two-dimensional lattice system. The anomaly is…
Superselection sectors for posets of von Neumann algebras
Anupama Bhardwaj, Tristen Brisky, Chian Yeong Chuah +4
We study a commutant-closed collection of von Neumann algebras acting on a common Hilbert space indexed by a poset with an order-reversing involution. We give simple geometric axio…
An operator algebraic approach to symmetry defects and fractionalization
Kyle Kawagoe, Siddharth Vadnerkar, Daniel Wallick
We provide a superselection theory of symmetry defects in 2+1D symmetry enriched topological (SET) order in the infinite volume setting. For a finite symmetry group with a unit…
Levin-Wen is a gauge theory: entanglement from topology
Kyle Kawagoe, Corey Jones, Sean Sanford +2
We show that the Levin-Wen model of a unitary fusion category is a gauge theory with gauge symmetry given by the tube algebra . In p…
Flux-conserving directed percolation
Barto Cucurull, Greg Huber, Kyle Kawagoe +3
We discuss a model for directed percolation in which the flux of material along each bond is a dynamical variable. The model includes a physically significant limiting case where t…
Boundary algebras of the Kitaev Quantum Double model
Mario Tomba, Shuqi Wei, Brett Hungar +4
The recent article [arXiv:2307.12552] gave local topological order (LTO) axioms for a quantum spin system, showed they held in Kitaev's Toric Code and in Levin-Wen string net model…
Enriched string-net models and their excitations
David Green, Peter Huston, Kyle Kawagoe +3
Boundaries of Walker-Wang models have been used to construct commuting projector models which realize chiral unitary modular tensor categories (UMTCs) as boundary excitations. Give…
Exceptional points in nonlinear and stochastic dynamics
Cheyne Weis, Michel Fruchart, Ryo Hanai +3
We study a class of bifurcations generically occurring in dynamical systems with non-mutual couplings ranging from models of coupled neurons to predator-prey systems and non-linear…
Anomalies in bosonic SPT edge theories: connection to F-symbols and a method for calculation
Kyle Kawagoe, Michael Levin
We describe a systematic procedure for determining the identity of a 2D bosonic symmetry protected topological (SPT) phase from the properties of its edge excitations. Our approach…
Microscopic definitions of anyon data
Kyle Kawagoe, Michael Levin
We present microscopic definitions of both the -symbol and -symbol -- two pieces of algebraic data that characterize anyon excitations in (2+1)-dimensional systems. An import…
Aggregation-fragmentation-diffusion model for trail dynamics
Kyle Kawagoe, Greg Huber, Marc Pradas +3
We investigate statistical properties of trails formed by a random process incorporating aggregation, fragmentation, and diffusion. In this stochastic process, which takes place in…
An iteration based on prime and composite factors
Kyle Kawagoe, Greg Huber
A discrete map based on the sum of an integer's distinct primes factors and the sum of its other factors is defined and its iteration is studied.