Lectures on generalized symmetries

L Bhardwaj, LE Bottini, L Fraser-Taliente, L Gladden… - Physics Reports, 2024 - Elsevier
These are a set of lecture notes on generalized global symmetries in quantum field theory.
The focus is on invertible symmetries with a few comments regarding non-invertible …

Generalized symmetries in condensed matter

J McGreevy - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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What's done cannot be undone: TASI Lectures on non-invertible symmetries

SH Shao - ar** concepts of
generalized symmetries, from the perspectives of both high energy physics and condensed …

The XZZX surface code

JP Bonilla Ataides, DK Tuckett, SD Bartlett… - Nature …, 2021 - nature.com
Performing large calculations with a quantum computer will likely require a fault-tolerant
architecture based on quantum error-correcting codes. The challenge is to design practical …

An introduction to higher-form symmetries

PRS Gomes - SciPost Physics Lecture Notes, 2023 - scipost.org
These notes are intended to be a pedagogical introduction to higher-form symmetries, which
are symmetries whose charged objects are extended operators supported on lines …

Symmetries in quantum field theory and quantum gravity

D Harlow, H Ooguri - Communications in Mathematical Physics, 2021 - Springer
In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

Toward a classification of mixed-state topological orders in two dimensions

TD Ellison, M Cheng - PRX Quantum, 2025 - APS
The classification and characterization of topological phases of matter is well understood for
ground states of gapped Hamiltonians that are well isolated from the environment. However …

Practical quantum error correction with the XZZX code and Kerr-cat qubits

AS Darmawan, BJ Brown, AL Grimsmo, DK Tuckett… - PRX Quantum, 2021 - APS
The development of robust architectures capable of large-scale fault-tolerant quantum
computation should consider both their quantum error-correcting codes and the underlying …

Generalized global symmetries

D Gaiotto, A Kapustin, N Seiberg, B Willett - Journal of High Energy …, 2015 - Springer
A bstract A q-form global symmetry is a global symmetry for which the charged operators are
of space-time dimension q; eg Wilson lines, surface defects, etc., and the charged …