Speed limits and locality in many-body quantum dynamics

CFA Chen, A Lucas, C Yin - Reports on Progress in Physics, 2023 - iopscience.iop.org
We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …

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 …

Long-range entanglement from measuring symmetry-protected topological phases

N Tantivasadakarn, R Thorngren, A Vishwanath… - Physical Review X, 2024 - APS
A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …

Many-body quantum magic

ZW Liu, A Winter - PRX Quantum, 2022 - APS
Magic (nonstabilizerness) is a necessary but “expensive” kind of “fuel” to drive universal fault-
tolerant quantum computation. To properly study and characterize the origin of quantum …

Anomaly inflow for subsystem symmetries

FJ Burnell, T Devakul, P Gorantla, HT Lam, SH Shao - Physical Review B, 2022 - APS
We study't Hooft anomalies and the related anomaly inflow for subsystem global symmetries.
These symmetries and anomalies arise in a number of exotic systems, including models with …

Identification of symmetry-protected topological states on noisy quantum computers

D Azses, R Haenel, Y Naveh, R Raussendorf, E Sela… - Physical Review Letters, 2020 - APS
Identifying topological properties is a major challenge because, by definition, topological
states do not have a local order parameter. While a generic solution to this challenge is not …

Symmetry protected topological phases under decoherence

JY Lee, YZ You, C Xu - arXiv preprint arXiv:2210.16323, 2022 - arxiv.org
We study a class of symmetry protected topological (SPT) phases under various types of
decoherence, which can drive a pure SPT state into a mixed state. We demonstrate that the …

Foliated field theory and string-membrane-net condensation picture of fracton order

K Slagle, D Aasen, D Williamson - SciPost Physics, 2019 - scipost.org
Foliated fracton order is a qualitatively new kind of phase of matter. It is similar to topological
order, but with the fundamental difference that a layered structure, referred to as a foliation …

Non-invertible symmetry-protected topological order in a group-based cluster state

C Fechisin, N Tantivasadakarn, VV Albert - arXiv preprint arXiv …, 2023 - arxiv.org
Despite growing interest in beyond-group symmetries in quantum condensed matter
systems, there are relatively few microscopic lattice models explicitly realizing these …

[HTML][HTML] Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter

DT Stephen, HP Nautrup, J Bermejo-Vega, J Eisert… - Quantum, 2019 - quantum-journal.org
Quantum phases of matter are resources for notions of quantum computation. In this work,
we establish a new link between concepts of quantum information theory and condensed …