Generalized symmetries in condensed matter

J McGreevy - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
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Higher gauging and non-invertible condensation defects

K Roumpedakis, S Seifnashri, SH Shao - … in Mathematical Physics, 2023 - Springer
We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …

Snowmass white paper: Generalized symmetries in quantum field theory and beyond

C Cordova, TT Dumitrescu, K Intriligator… - arxiv preprint arxiv …, 2022 - arxiv.org
Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …

Anyon condensation and the color code

MS Kesselring, JC Magdalena de la Fuente… - PRX Quantum, 2024 - APS
The manipulation of topologically ordered phases of matter to encode and process quantum
information forms the cornerstone of many approaches to fault-tolerant quantum computing …

Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions

Y Bao, R Fan, A Vishwanath, E Altman - arxiv preprint arxiv:2301.05687, 2023 - arxiv.org
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 …

Noisy approach to intrinsically mixed-state topological order

R Sohal, A Prem - PRX Quantum, 2025 - APS
We propose a general framework for studying two-dimensional (2D) topologically ordered
states subject to local correlated errors and show that the resulting mixed state can display …

Unconventional topological mixed-state transition and critical phase induced by self-dual coherent errors

YH Chen, T Grover - Physical Review B, 2024 - APS
A topological phase can undergo a phase transition driven by anyon condensation. A
potential obstruction to such a mechanism could arise if there exists a symmetry between …

Shortest route to non-Abelian topological order on a quantum processor

N Tantivasadakarn, R Verresen, A Vishwanath - Physical Review Letters, 2023 - APS
A highly coveted goal is to realize emergent non-Abelian gauge theories and their anyonic
excitations, which encode decoherence-free quantum information. While measurements in …

Robust teleportation of a surface code and cascade of topological quantum phase transitions

F Eckstein, B Han, S Trebst, GY Zhu - PRX Quantum, 2024 - APS
Teleportation is a facet where quantum measurements can act as a powerful resource in
quantum physics, as local measurements allow us to steer quantum information in a …

Aharonov–Bohm interference and statistical phase-jump evolution in fractional quantum Hall states in bilayer graphene

J Kim, H Dev, R Kumar, A Ilin, A Haug… - Nature …, 2024 - nature.com
In the fractional quantum Hall effect, quasiparticles are collective excitations that have a
fractional charge and show fractional statistics as they interchange positions. While the …