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 …

Operator relaxation and the optimal depth of classical shadows

M Ippoliti, Y Li, T Rakovszky, V Khemani - Physical Review Letters, 2023 - APS
Classical shadows are a powerful method for learning many properties of quantum states in
a sample-efficient manner, by making use of randomized measurements. Here we study the …

Layer codes

DJ Williamson, N Baspin - Nature Communications, 2024 - nature.com
Quantum computers require memories that are capable of storing quantum information
reliably for long periods of time. The surface code is a two-dimensional quantum memory …

Topological defect networks for fractons of all types

D Aasen, D Bulmash, A Prem, K Slagle… - Physical Review …, 2020 - APS
Fracton phases exhibit striking behavior which appears to render them beyond the standard
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …

Fractonic superfluids

JK Yuan, SA Chen, P Ye - Physical Review Research, 2020 - APS
We propose a superfluid phase of “many-fracton system” in which charge and total dipole
moments are conserved quantities. In this work, both microscopic model and long …

Single-shot error correction of three-dimensional homological product codes

AO Quintavalle, M Vasmer, J Roffe, ET Campbell - PRX Quantum, 2021 - APS
Single-shot error correction corrects data noise using only a single round of noisy
measurements on the data qubits, removing the need for intensive measurement repetition …

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 …

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 …

Strong planar subsystem symmetry-protected topological phases and their dual fracton orders

T Devakul, W Shirley, J Wang - Physical Review Research, 2020 - APS
We classify subsystem symmetry-protected topological (SSPT) phases in 3+ 1 dimensions
(3+ 1 D) protected by planar subsystem symmetries: short-range entangled phases which …

Fractonic superfluids. II. Condensing subdimensional particles

SA Chen, JK Yuan, P Ye - Physical Review Research, 2021 - APS
As a series of work about “fractonic superfluids,” in this paper, we develop an exotic fractonic
superfluid phase in d-dimensional space where subdimensional particles—their mobility is …