Probing topological spin liquids on a programmable quantum simulator

G Semeghini, H Levine, A Keesling, S Ebadi, TT Wang… - Science, 2021 - science.org
Quantum spin liquids, exotic phases of matter with topological order, have been a major
focus in physics for the past several decades. Such phases feature long-range quantum …

Diagnostics of mixed-state topological order and breakdown of quantum memory

R Fan, Y Bao, E Altman, A Vishwanath - PRX Quantum, 2024 - APS
Topological quantum memory can protect information against local errors up to finite error
thresholds. Such thresholds are usually determined based on the success of decoding …

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 …

Dynamical preparation of quantum spin liquids in Rydberg atom arrays

G Giudici, MD Lukin, H Pichler - Physical Review Letters, 2022 - APS
We theoretically analyze recent experiments [Semeghini et al., Science 374, 1242 (2021)
SCIEAS 0036-8075 10.1126/science. abi8794] demonstrating the onset of a topological spin …

Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics

S Doplicher, JE Roberts - Communications in Mathematical Physics, 1990 - Springer
Given the local observables in the vacuum sector fulfilling a few basic principles of local
quantum theory, we show that the superselection structure, intrinsically determined a priori …

Unifying Kitaev magnets, kagomé dimer models, and ruby Rydberg spin liquids

R Verresen, A Vishwanath - Physical Review X, 2022 - APS
The exploration of quantum spin liquids (QSLs) has been guided by different approaches
including the resonating valence bond (RVB) picture, deconfined lattice gauge theories, and …

Prediction of toric code topological order from Rydberg blockade

R Verresen, MD Lukin, A Vishwanath - Physical Review X, 2021 - APS
The physical realization of Z 2 topological order as encountered in the paradigmatic toric
code has proven to be an elusive goal. We predict that this phase of matter can be realized …

[PDF][PDF] A short course on cluster expansions

DC Brydges - Les Houches, 1984 - personal.math.ubc.ca
1. Introduction 1.1. Notation and conventions 2. Connected parts, high-temperature
expansions 3. Convergence of high-temperature expansions 4. Expansions about Gaussian …

[PDF][PDF] Intrinsic mixed-state topological order without quantum memory

Z Wang, Z Wu, Z Wang - arxiv preprint arxiv:2307.13758, 2023 - researchgate.net
Decoherence is a major obstacle to the preparation of topological order in noisy
intermediate-scale quantum devices. Here, we show that decoherence can also give rise to …

Diverse universality classes of the topological deconfinement transitions of three-dimensional noncompact lattice Abelian Higgs models

C Bonati, A Pelissetto, E Vicari - Physical Review D, 2024 - APS
We study the topological phase transitions occurring in three-dimensional (3D)
multicomponent lattice Abelian Higgs (LAH) models, in which an N-component scalar field is …