5 papers
Topological lattice gauge theory enriched by non-invertible symmetry
Lea E. Bottini, Clement Delcamp, Edmund Heng +2
We use finite group topological lattice gauge theory, also known as the quantum double model, as a lens to explore a notion of topological order enriched by a non-invertible symmet…
Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits
Yuanjie Ren, Nathanan Tantivasadakarn, Dominic J. Williamson
The classification of topological phases of matter is a fundamental challenge in quantum many-body physics, with applications to quantum technology. Recently, this classification h…
String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to -String Condensation
Pranay Gorantla, Abhinav Prem, Nathanan Tantivasadakarn +1
We present a new perspective on the -string condensation procedure for constructing 3+1D fracton phases by implementing this process via the gauging of higher-form symmetries. S…
Subsystem Symmetry Fractionalization and Foliated Field Theory
Po-Shen Hsin, David T. Stephen, Arpit Dua +1
Topological quantum matter exhibits a range of exotic phenomena when enriched by subdimensional symmetries. This includes new features beyond those that appear in the conventional…
Braiding for the win: Harnessing braiding statistics in topological states to win quantum games
Oliver Hart, David T. Stephen, Dominic J. Williamson +1
Nonlocal quantum games provide proof of principle that quantum resources can confer advantage at certain tasks. They also provide a compelling way to explore the computational util…