On the absence of homogeneous scalar unitary cellular automata

Details On the absence of homogeneous scalar unitary cellular automata On the absence of homogeneous scalar unitary cellular automata

1996-04-12

arxiv.org/abs/quant-ph/9604011v2

Physics

Quantum Physics

7 pages, plain TeX, 3 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages); minor change

Scientific paper

10.1016/S0375-9601(96)00745-1

Failure to find homogeneous scalar unitary cellular automata (CA) in one
dimension led to consideration of only ``approximately unitary'' CA---which
motivated our recent proof of a No-go Lemma in one dimension. In this note we
extend the one dimensional result to prove the absence of nontrivial
homogeneous scalar unitary CA on Euclidean lattices in any dimension.

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