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 …

Separability transitions in topological states induced by local decoherence

YH Chen, T Grover - Physical Review Letters, 2024 - APS
We study states with intrinsic topological order subjected to local decoherence from the
perspective of separability, ie, whether a decohered mixed state can be expressed as an …

Tapestry of dualities in decohered quantum error correction codes

K Su, Z Yang, CM Jian - Physical Review B, 2024 - APS
Quantum error correction (QEC) codes protect quantum information from errors due to
decoherence. Many of them also serve as prototypical models for exotic topological …

Tailoring three-dimensional topological codes for biased noise

E Huang, A Pesah, CT Chubb, M Vasmer, A Dua - PRX Quantum, 2023 - APS
Tailored topological stabilizer codes in two dimensions have been shown to exhibit high-
storage-threshold error rates and improved subthreshold performance under biased Pauli …

Gapped interfaces in fracton models and foliated fields

PS Hsin, ZX Luo, A Malladi - Journal of High Energy Physics, 2023 - Springer
A bstract This work investigates the gapped interfaces of 3+ 1d fracton phases of matter
using foliated gauge theories and lattice models. We analyze the gapped boundaries and …

Higher-form subsystem symmetry breaking: Subdimensional criticality and fracton phase transitions

B Rayhaun, D Williamson - SciPost Physics, 2023 - scipost.org
Subsystem symmetry has emerged as a powerful organizing principle for unconventional
quantum phases of matter, most prominently fracton topological orders. Here, we focus on a …

Information dynamics in decohered quantum memory with repeated syndrome measurements: a dual approach

J Hauser, Y Bao, S Sang, A Lavasani… - arXiv preprint arXiv …, 2024 - arxiv.org
Measurements can detect errors in a decohered quantum memory allowing active error
correction to increase the memory time. Previous understanding of this mechanism has …

Perturbative stability and error correction thresholds of quantum codes

Y Li, N O'Dea, V Khemani - arXiv preprint arXiv:2406.15757, 2024 - arxiv.org
Topologically-ordered phases are stable to local perturbations, and topological quantum
error-correcting codes enjoy thresholds to local errors. We connect the two notions of …

Extracting topological orders of generalized Pauli stabilizer codes in two dimensions

Z Liang, Y Xu, JT Iosue, YA Chen - PRX Quantum, 2024 - APS
In this paper, we introduce an algorithm for extracting topological data from translation
invariant generalized Pauli stabilizer codes in two-dimensional systems, focusing on the …

Exotic symmetry breaking properties of self-dual fracton spin models

G Canossa, L Pollet, MA Martin-Delgado, H Song… - Physical Review …, 2024 - APS
Fracton codes host unconventional topological states of matter and are promising for fault-
tolerant quantum computation due to their large coding space and strong resilience against …