Generalized symmetries in condensed matter

J McGreevy - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

JI Cirac, D Perez-Garcia, N Schuch, F Verstraete - Reviews of Modern Physics, 2021 - APS
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

Kramers-Wannier-like Duality Defects in Gauge Theories

J Kaidi, K Ohmori, Y Zheng - Physical review letters, 2022 - APS
We introduce a class of noninvertible topological defects in (3+ 1) D gauge theories whose
fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in …

Non-hermitian physics

Y Ashida, Z Gong, M Ueda - Advances in Physics, 2020 - Taylor & Francis
A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Non-Abelian braiding of Fibonacci anyons with a superconducting processor

S Xu, ZZ Sun, K Wang, H Li, Z Zhu, H Dong, J Deng… - Nature Physics, 2024 - nature.com
Quantum many-body systems with a non-Abelian topological order can host anyonic
quasiparticles. It has been proposed that anyons could be used to encode and manipulate …

Quantum convolutional neural networks

I Cong, S Choi, MD Lukin - Nature Physics, 2019 - nature.com
Neural network-based machine learning has recently proven successful for many complex
applications ranging from image recognition to precision medicine. However, its direct …

Measurement as a shortcut to long-range entangled quantum matter

TC Lu, LA Lessa, IH Kim, TH Hsieh - PRX Quantum, 2022 - APS
The preparation of long-range entangled states using unitary circuits is limited by Lieb-
Robinson bounds, but circuits with projective measurements and feedback (“adaptive …

Hierarchy of topological order from finite-depth unitaries, measurement, and feedforward

N Tantivasadakarn, A Vishwanath, R Verresen - PRX Quantum, 2023 - APS
Long-range entanglement—the backbone of topologically ordered states—cannot be
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …

Gapped phases with non-invertible symmetries:(1+ 1) d

L Bhardwaj, LE Bottini, D Pajer, S Schäfer-Nameki - SciPost Physics, 2025 - scipost.org
We propose a general framework to characterize gapped infra-red (IR) phases of theories
with non-invertible (or categorical) symmetries. In this paper we focus on (1+ 1) d gapped …

Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms

D González-Cuadra, TV Zache, J Carrasco, B Kraus… - Physical Review Letters, 2022 - APS
Non-Abelian gauge theories underlie our understanding of fundamental forces in nature,
and develo** tailored quantum hardware and algorithms to simulate them is an …