Fracton phases of matter
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 …
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
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 …
a sample-efficient manner, by making use of randomized measurements. Here we study the …
Topological defect networks for fractons of all types
Fracton phases exhibit striking behavior which appears to render them beyond the standard
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …
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 …
reliably for long periods of time. The surface code is a two-dimensional quantum memory …
Fractonic superfluids
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 …
moments are conserved quantities. In this work, both microscopic model and long …
Single-shot error correction of three-dimensional homological product codes
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 …
measurements on the data qubits, removing the need for intensive measurement repetition …
Tailoring three-dimensional topological codes for biased noise
Tailored topological stabilizer codes in two dimensions have been shown to exhibit high-
storage-threshold error rates and improved subthreshold performance under biased Pauli …
storage-threshold error rates and improved subthreshold performance under biased Pauli …
Higher-form subsystem symmetry breaking: Subdimensional criticality and fracton phase transitions
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 …
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
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 …
(3+ 1 D) protected by planar subsystem symmetries: short-range entangled phases which …
Fractonic superfluids. II. Condensing subdimensional particles
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 …
superfluid phase in d-dimensional space where subdimensional particles—their mobility is …