Codimension-2 defects and higher symmetries in (3+ 1) D topological phases
D topological phases of matter can host a broad class of non-trivial topological defects of
codimension-1, 2, and 3, of which the well-known point charges and flux loops are special …
codimension-1, 2, and 3, of which the well-known point charges and flux loops are special …
Matrix product operator symmetries and intertwiners in string-nets with domain walls
We provide a description of virtual non-local matrix product operator (MPO) symmetries in
projected entangled pair state (PEPS) representations of string-net models. Given such a …
projected entangled pair state (PEPS) representations of string-net models. Given such a …
[HTML][HTML] The boundaries and twist defects of the color code and their applications to topological quantum computation
The color code is both an interesting example of an exactly solved topologically ordered
phase of matter and also among the most promising candidate models to realize fault …
phase of matter and also among the most promising candidate models to realize fault …
Composing topological domain walls and anyon mobility
Topological domain walls separating 2+ 1 dimensional topologically ordered phases can be
understood in terms of Witt equivalences between the UMTCs describing anyons in the bulk …
understood in terms of Witt equivalences between the UMTCs describing anyons in the bulk …
Higher-group symmetry of (3+1)D fermionic gauge theory: Logical CCZ, CS, and T gates from higher symmetry
It has recently been understood that the complete global symmetry of finite group topological
gauge theories contains the structure of a higher-group. Here we study the higher-group …
gauge theories contains the structure of a higher-group. Here we study the higher-group …
Topological aspects of the critical three-state Potts model
We explore the topological defects of the critical three-state Potts spin system on the torus,
Klein bottle and cylinder. A complete characterization is obtained by breaking down the …
Klein bottle and cylinder. A complete characterization is obtained by breaking down the …
Computing data for Levin-Wen with defects
JC Bridgeman, D Barter - Quantum, 2020 - quantum-journal.org
Computing data for Levin-Wen with defects Page 1 Computing data for Levin-Wen with defects
Jacob C. Bridgeman1 and Daniel Barter2 1Perimeter Institute for Theoretical Physics, Waterloo …
Jacob C. Bridgeman1 and Daniel Barter2 1Perimeter Institute for Theoretical Physics, Waterloo …
Bulk-to-boundary anyon fusion from microscopic models
JC Magdalena de la Fuente, J Eisert… - Journal of Mathematical …, 2023 - pubs.aip.org
Topological quantum error correction based on the manipulation of the anyonic defects
constitutes one of the most promising frameworks towards realizing fault-tolerant quantum …
constitutes one of the most promising frameworks towards realizing fault-tolerant quantum …
On generalized symmetries and structure of modular categories
Pursuing a generalization of group symmetries of modular categories to category
symmetries in topological phases of matter, we study linear Hopf monads. The main goal is …
symmetries in topological phases of matter, we study linear Hopf monads. The main goal is …
Microscopic models for fusion categories
R Wolf - arXiv preprint arXiv:2101.04154, 2021 - arxiv.org
This is a PhD Thesis on the connection between subfactors (more precisely, their
corresponding fusion categories) and Conformal Field Theory (CFT). Besides being a …
corresponding fusion categories) and Conformal Field Theory (CFT). Besides being a …