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Fermionic quantum cellular automata in 2d are trivial
Jeffrey Kwan, David M. Long, Jeongwan Haah
Fermionic quantum cellular automata (QCA) are automorphisms of local fermionic operator algebras (-graded superalgebras) that have bounded spread: they map local opera…
Invertible subalgebras
Jeongwan Haah
We introduce invertible subalgebras of local operator algebras on lattices. An invertible subalgebra is defined to be one such that every local operator can be locally expressed by…
Topological phases of unitary dynamics: Classification in Clifford category
Jeongwan Haah
A quantum cellular automaton (QCA) or a causal unitary is by definition an automorphism of local operator algebra, by which local operators are mapped to local operators. Quantum c…
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…