52 citations · 118 across the 6 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
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…