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 …

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 …

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 …

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 …

The manipulation of topologically ordered phases of matter to encode and process quantum
information forms the cornerstone of many approaches to fault-tolerant quantum computing …

This article introduces PyMatching, a fast open-source Python package for decoding
quantum error-correcting codes with the minimum-weight perfect matching (MWPM) …

The development of robust architectures capable of large-scale fault-tolerant quantum
computation should consider both their quantum error-correcting codes and the underlying …

We propose a new class of error-correcting dynamic codes in two and three dimensions that
has no explicit connection to any parent subsystem code. The two-dimensional code, which …

Noise in quantum computing is countered with quantum error correction. Achieving optimal
performance will require tailoring codes and decoding algorithms to account for features of …

Fracton phases exhibit striking behavior which appears to render them beyond the standard
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …