734 citations · 6k across the 61 of their papers we have counts for
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An Exactly Solvable Model for a Beyond-Cohomology Symmetry Protected Topological Phase
Lukasz Fidkowski, Jeongwan Haah, Matthew B. Hastings
We construct an exactly solvable commuting projector model for a dimensional symmetry-protected topological phase (SPT) which is outside the cohomology classi…
The Group Structure of Quantum Cellular Automata
Michael Freedman, Jeongwan Haah, Matthew B. Hastings
We consider the group structure of quantum cellular automata (QCA) modulo circuits and show that it is abelian even without assuming the presence of ancillas, at least for most rea…
Clifford Quantum Cellular Automata: Trivial group in 2D and Witt group in 3D
Jeongwan Haah
We study locality preserving automorphisms of operator algebras on -dimensional uniform lattices of prime -dimensional qudits (QCA), specializing in those that are translatio…
Disentangling the Generalized Double Semion Model
Lukasz Fidkowski, Jeongwan Haah, Matthew B. Hastings +1
We analyze the class of Generalized Double Semion (GDS) models in arbitrary dimensions from the point of view of lattice Hamiltonians. We show that on a -dimensional spatial man…
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…