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20102026
most citedFractal symmetries: Ungauging the cubic code

169 citations · 2.1k across the 47 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

cond-mat.str-el2019★ 41 cited

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…

quant-ph2019★ 52 cited

Sorting topological stabilizer models in three dimensions

Arpit Dua, Isaac H. Kim, Meng Cheng +1

The S-matrix invariant is known to be complete for translation invariant topological stabilizer models in two spatial dimensions, as such models are phase equivalent to some number…

cond-mat.str-el2019★ 43 cited

Gauging permutation symmetries as a route to non-Abelian fractons

Abhinav Prem, Dominic J. Williamson

We discuss the procedure for gauging on-site global symmetries of three-dimensional lattice Hamiltonians that permute quasi-particles and provide general arguments d…

cond-mat.str-el2019★ 39 cited

Compactifying fracton stabilizer models

Arpit Dua, Dominic J. Williamson, Jeongwan Haah +1

We investigate two dimensional compactifications of three dimensional fractonic stabilizer models. We find the two dimensional topological phases produced as a function of compacti…

quant-ph2019★ 59 cited

Parallelized quantum error correction with fracton topological codes

Benjamin J. Brown, Dominic J. Williamson

Fracton topological phases have a large number of materialized symmetries that enforce a rigid structure on their excitations. Remarkably, we find that the symmetries of a quantum…