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arXiv · 1608.05259

Unitary Cellular Automata and Convolution Algebras

T. E. Raptis
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Abstract

The original local, discrete example of Linear Unitary Cellular Automata (LUCA) is analyzed in terms of a new representation previously introduced in [1] for classical CA. Several important underlying symmetries are reviewed and their tight relationship with both signal and coding theory as well as with combinatorics is underlined. A class of analog implementations in the form of Linear Transmission Line Networks (LTLN) is described as possible emulators of this type of dynamics.

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T. E. Raptis. 2016-08-07. Unitary Cellular Automata and Convolution Algebras. https://arxiv.org/abs/1608.05259

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