83 citations · 736 across the 36 of their papers we have counts for
5 papers · 1 filter
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…
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…
Loops in 4+1d Topological Phases
Xie Chen, Arpit Dua, Po-Shen Hsin +3
2+1d topological phases are well characterized by the fusion rules and braiding/exchange statistics of fractional point excitations. In 4+1d, some topological phases contain only f…
Weak symmetry breaking and topological order in a 3D compressible quantum liquid
Joseph Sullivan, Arpit Dua, Meng Cheng
We introduce a new type of 3D compressible quantum phase, in which the U(1) charge conservation symmetry is weakly broken by a rigid string-like order parameter, and no local order…
Topological Order, Quantum Codes and Quantum Computation on Fractal Geometries
Guanyu Zhu, Tomas Jochym-O'Connor, Arpit Dua
We investigate topological order on fractal geometries embedded in dimensions. In particular, we diagnose the existence of the topological order through the lens of quantum inf…