169 citations · 2.1k across the 47 of their papers we have counts for
47 papers
Fractalizing spacetime: Floquet codes with fractonic excitations that are immobile in space and time
Juliette Soule, Dominic J. Williamson
We generalize fractalization, a procedure for the construction of fracton models, from space to spacetime. We apply spacetime fractalization to construct fracton floquet codes with…
Topological stabilizer models on continuous variables
Julio C. Magdalena de la Fuente, Tyler D. Ellison, Meng Cheng +1
We construct a family of two-dimensional topological stabilizer codes on continuous variable (CV) degrees of freedom, which generalize homological rotor codes and the toric-GKP cod…
No Strings Attached: Boundaries and Defects in the Cubic Code
Cory T. Aitchison, Daniel Bulmash, Arpit Dua +2
Haah's cubic code is the prototypical type-II fracton topological order. It instantiates the no string-like operator property that underlies the favorable scaling of its code dista…
Pauli topological subsystem codes from Abelian anyon theories
Tyler D. Ellison, Yu-An Chen, Arpit Dua +3
We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional Abelian anyon theories--this includes anyon theories with degenerate braiding relations an…
Fractionalization of subsystem symmetries in two dimensions
David T. Stephen, Arpit Dua, José Garre-Rubio +2
The fractionalization of global symmetry charges is a striking hallmark of topological quantum order. Here, we discuss the fractionalization of subsystem symmetries in two-dimensio…
A cellular automaton decoder for a noise-bias tailored color code
Jonathan F. San Miguel, Dominic J. Williamson, Benjamin J. Brown
Self-correcting quantum memories demonstrate robust properties that can be exploited to improve active quantum error-correction protocols. Here we propose a cellular automaton deco…
Three-dimensional quantum cellular automata from chiral semion surface topological order and beyond
Wilbur Shirley, Yu-An Chen, Arpit Dua +3
We construct a novel three-dimensional quantum cellular automaton (QCA) based on a system with short-range entangled bulk and chiral semion boundary topological order. We argue tha…
Topological defect network representations of fracton stabilizer codes
Zijian Song, Arpit Dua, Wilbur Shirley +1
A topological defect network (TDN) is formed by a network of topological defects embedded within a topological quantum field theory (TQFT). TDNs were introduced recently for the pu…
Higher-Form Subsystem Symmetry Breaking: Subdimensional Criticality and Fracton Phase Transitions
Brandon C. Rayhaun, Dominic J. Williamson
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 spec…
Pauli stabilizer models of twisted quantum doubles
Tyler D. Ellison, Yu-An Chen, Arpit Dua +3
We construct a Pauli stabilizer model for every two-dimensional Abelian topological order that admits a gapped boundary. Our primary example is a Pauli stabilizer model on four-dim…
Symmetry-Protected Infinite-Temperature Quantum Memory from Subsystem Codes
Julia Wildeboer, Thomas Iadecola, Dominic J. Williamson
We study a mechanism whereby quantum information present in the initial state of a quantum many-body system can be protected for arbitrary times due to a combination of symmetry an…
Gauging the bulk: generalized gauging maps and holographic codes
Kfir Dolev, Vladimir Calvera, Sam Cree +1
Gauging is a general procedure for mapping a quantum many-body system with a global symmetry to one with a local gauge symmetry. We consider a generalized gauging map that does not…
Fault-tolerant logical gates in holographic stabilizer codes are severely restricted
Sam Cree, Kfir Dolev, Vladimir Calvera +1
We evaluate the usefulness of holographic stabilizer codes for practical purposes by studying their allowed sets of fault-tolerantly implementable gates. We treat them as subsystem…
On the stability of topological order in tensor network states
Dominic J. Williamson, Clement Delcamp, Frank Verstraete +1
We construct a tensor network representation of the 3d toric code ground state that is stable to a generating set of uniform local tensor perturbations, including those that do not…
Bifurcating subsystem symmetric entanglement renormalization in two dimensions
Jonathan San Miguel, Arpit Dua, Dominic Williamson
We introduce the subsystem symmetry-preserving real-space entanglement renormalization group and apply it to study bifurcating flows generated by linear and fractal subsystem symme…
3-Fermion topological quantum computation
Sam Roberts, Dominic J. Williamson
We present a scheme for universal topological quantum computation based on Clifford complete braiding and fusion of symmetry defects in the 3-Fermion anyon theory, supplemented wit…
Planar p-String Condensation: Chiral Fracton Phases from Fractional Quantum Hall Layers and Beyond
Joseph Sullivan, Thomas Iadecola, Dominic J. Williamson
We present a coupled-wire construction of a model with chiral fracton topological order. The model combines the known construction of Laughlin fractional quantum Hall state…
Fractalizing quantum codes
Trithep Devakul, Dominic J. Williamson
We introduce "fractalization", a procedure by which spin models are extended to higher-dimensional "fractal" spin models. This allows us to interpret type-II fracton phases, fracta…
Type-II fractons from coupled spin chains and layers
Dominic J. Williamson, Trithep Devakul
We describe a construction of topological orders from coupled lower dimensional symmetry-protected topological orders, which is closely related to gauging a subsystem symmetry. Our…
Designer non-Abelian fractons from topological layers
Dominic J. Williamson, Meng Cheng
We formulate a construction of type-I fracton models based on gauging planar subsystem symmetries of topologically ordered two dimensional layers that have been stacked in three am…
Subsystem symmetry enriched topological order in three dimensions
David T. Stephen, José Garre-Rubio, Arpit Dua +1
We introduce a model of three-dimensional (3D) topological order enriched by planar subsystem symmetries. The model is constructed starting from the 3D toric code, whose ground sta…
Topological Defect Networks for Fractons of all Types
David Aasen, Daniel Bulmash, Abhinav Prem +2
Fracton phases exhibit striking behavior which appears to render them beyond the standard topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter. He…
Relative Anomaly in (1+1)d Rational Conformal Field Theory
Meng Cheng, Dominic J. Williamson
We study 't Hooft anomalies of symmetry-enriched rational conformal field theories (RCFT) in (1+1)d. Such anomalies determine whether a theory can be realized in a truly (1+1)d sys…
Bifurcating entanglement-renormalization group flows of fracton stabilizer models
Arpit Dua, Pratyush Sarkar, Dominic J. Williamson +1
We investigate the entanglement-renormalization group flows of translation-invariant topological stabilizer models in three dimensions. Fracton models are observed to bifurcate und…