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• W1870304071 abstract "We define the block neighborhood of a reversible CA, which is related both to its decomposition into a product of block permutations and to quantum computing. We give a purely combinatorial characterization of the block neighborhood, which helps in two ways. First, it makes the computation of the block neighborhood of a given CA relatively easy. Second, it allows us to derive upper bounds on the block neighborhood: for a single CA as function of the classical and inverse neighborhoods, and for the composition of several CAs. One consequence of that is a characterization of a class of elementary CAs that cannot be written as the composition of two simpler parts whose neighborhoods and inverse neighborhoods would be reduced by one half." @default.
• W1870304071 created "2016-06-24" @default.
• W1870304071 creator A5010918313 @default.
• W1870304071 creator A5035883865 @default.
• W1870304071 date "2010-12-03" @default.
• W1870304071 modified "2023-09-23" @default.
• W1870304071 title "The Block Neighborhood" @default.
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• W1870304071 hasPublicationYear "2010" @default.
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