60 citations · 281 across the 10 of their papers we have counts for
10 papers
Engineering 3D Floquet codes by rewinding
Arpit Dua, Nathanan Tantivasadakarn, Joseph Sullivan +1
Floquet codes are a novel class of quantum error-correcting codes with dynamically generated logical qubits arising from a periodic schedule of non-commuting measurements. We utili…
Floquet codes with a twist
Tyler D. Ellison, Joseph Sullivan, Arpit Dua
We describe a method for creating twist defects in the honeycomb Floquet code of Hastings and Haah. In particular, we construct twist defects at the endpoints of condensation defec…
Chiral spin liquid in a Kitaev model
Li-Mei Chen, Tyler D. Ellison, Meng Cheng +2
We study a Kitaev model on the honeycomb lattice with nearest neighbor interactions. Based on matrix product state simulations and symmetry considerations, we find e…
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…
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…
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 sign problem and magic in quantum phases of matter
Tyler D. Ellison, Kohtaro Kato, Zi-Wen Liu +1
We introduce the concepts of a symmetry-protected sign problem and symmetry-protected magic to study the complexity of symmetry-protected topological (SPT) phases of matter. In par…
Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions
Yu-An Chen, Tyler D. Ellison, Nathanan Tantivasadakarn
We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological (SPT) phases in (3+1)D classified by group supercohomology. A central benefit of our con…
A tensor network approach to 2D bosonization
Sujeet K. Shukla, Tyler D. Ellison, Lukasz Fidkowski
We present a 2D bosonization duality using the language of tensor networks. Specifically, we construct a tensor network operator (TNO) that implements an exact 2D bosonization dual…
Disentangling interacting symmetry protected phases of fermions in two dimensions
Tyler D. Ellison, Lukasz Fidkowski
We construct fixed point lattice models for group supercohomology symmetry protected topological (SPT) phases of fermions in 2+1D. A key feature of our approach is to construct fin…