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quant-ph2019★ 31 cited
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…
quant-ph2019★ 48 cited
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…