11 papers
Self-dual gauge theory in 2+1d: lattice model and topological phase transitions
Da-Chuan Lu, Chong Wang, Ashvin Vishwanath
Electric-magnetic self-duality of the gauge theory, realized microscopically as a half-lattice-translation exchanging electric charge and magnetic flux, has been an…
Energetics of fractional anomalous Hall crystals in rhombohedral graphene
Félix Desrochers, Ashvin Vishwanath
Fractional anomalous Hall crystals (FAHCs) replicate the topological order of the fractional quantum Hall effect in the continuum without requiring any external magnetic field. The…
Universal Gates from Braiding and Fusing Anyons on Quantum Hardware
Chiu Fan Bowen Lo, Anasuya Lyons, Dan Gresh +8
Topological quantum computation encodes quantum information in the internal fusion space of non-Abelian anyonic quasiparticles, whose braiding implements logical gates. This goes b…
Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
Yimu Bao, Ruihua Fan, Ashvin Vishwanath +1
We develop an effective field theory characterizing the impact of decoherence on states with abelian topological order and on their capacity to protect quantum information. The dec…
Protocols for Creating Anyons and Defects via Gauging
Anasuya Lyons, Chiu Fan Bowen Lo, Nathanan Tantivasadakarn +2
Creating and manipulating anyons and symmetry defects in topological phases, especially those with a non-Abelian character, constitutes a primitive for topological quantum computat…
Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
Stefan Divic, Valentin Crépel, Tomohiro Soejima +4
We argue that the combination of strong repulsive interactions and high magnetic fields can generate electron pairing and superconductivity. Inspired by the large lattice constants…