Fracton phases of matter

M Pretko, X Chen, Y You - International Journal of Modern Physics …, 2020 - World Scientific
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

Fractons

RM Nandkishore, M Hermele - Annual Review of Condensed …, 2019 - annualreviews.org
Fracton phases constitute a new class of quantum state of matter. They are characterized by
excitations that exhibit restricted mobility, being either immobile under local Hamiltonian …

[HTML][HTML] 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 …

Mixed-state quantum phases: Renormalization and quantum error correction

S Sang, Y Zou, TH Hsieh - Physical Review X, 2024 - APS
Open system quantum dynamics can generate a variety of long-range entangled mixed
states, yet it has been unclear in what sense they constitute phases of matter. To establish …

[HTML][HTML] Blueprint for a scalable photonic fault-tolerant quantum computer

JE Bourassa, RN Alexander, M Vasmer, A Patil… - Quantum, 2021 - quantum-journal.org
Photonics is the platform of choice to build a modular, easy-to-network quantum computer
operating at room temperature. However, no concrete architecture has been presented so …

Quantum spin liquids: a review

L Savary, L Balents - Reports on Progress in Physics, 2016 - iopscience.iop.org
Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

Fracton topological order, generalized lattice gauge theory, and duality

S Vijay, J Haah, L Fu - Physical Review B, 2016 - APS
We introduce a generalization of conventional lattice gauge theory to describe fracton
topological phases, which are characterized by immobile, pointlike topological excitations …

Subsystem non-invertible symmetry operators and defects

W Cao, L Li, M Yamazaki, Y Zheng - SciPost Physics, 2023 - scipost.org
We explore non-invertible symmetries in two-dimensional lattice models with subsystem
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …

Fractons, dipole symmetries and curved spacetime

L Bidussi, J Hartong, E Have, J Musaeus, S Prohazka - SciPost Physics, 2022 - scipost.org
We study complex scalar theories with dipole symmetry and uncover a no-go theorem that
governs the structure of such theories and which, in particular, reveals that a Gaussian …

Quantum error correction for quantum memories

BM Terhal - Reviews of Modern Physics, 2015 - APS
Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …