4 papers
Modified toric code models with flux attachment from Hopf algebra gauge theory
Mia Conlon, Domenico Pellegrino, J. K. Slingerland
Kitaev's toric code is constructed using a finite gauge group from gauge theory. Such gauge theories can be generalized with the gauge group generalized to any finite-dimensional s…
Constructing edge zero modes through domain wall angle conservation
Domenico Pellegrino, Graham Kells, Niall Moran +1
We investigate the existence, normalization and explicit construction of edge zero modes in topologically ordered spin chains. In particular we give a detailed treatment of zero mo…
Error generation and propagation in Majorana-based topological qubits
Mia Conlon, Domenico Pellegrino, Johannes K. Slingerland +2
We investigate dynamical evolution of a topological memory that consists of two p-wave superconducting wires separated by a non-topological junction, focusing on the primary errors…
Parafermionic clock models and quantum resonance
Niall Moran, Domenico Pellegrino, Joost Slingerland +1
We explore the parafermionic clock-model generalisations of the p-wave Majorana wire model. In particular we examine whether zero-mode operators analogous to Major…