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Fermionic quantum cellular automata in 2d are trivial

Kwan, Jeffrey et al.
arXiv (All) · Papers
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mathematical-physicsoperator-algebrasquantum-physicsstrongly-correlated-electrons
Fermionic quantum cellular automata (QCA) are automorphisms of local fermionic operator algebras ($\mathbb Z_2$-graded superalgebras) that have bounded spread: they map local operators to nearby operators. We prove that every 2-dimensional fermionic QCA on a locally finite-dimensional algebra is a c
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