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arXiv · 1010.3120

A Quantum Game of Life

Pablo Arrighi·Jonathan Grattage
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Abstract

This research describes a three dimensional quantum cellular automaton (QCA) which can simulate all other 3D QCA. This intrinsically universal QCA belongs to the simplest subclass of QCA: Partitioned QCA (PQCA). PQCA are QCA of a particular form, where incoming information is scattered by a fixed unitary U before being redistributed and rescattered. Our construction is minimal amongst PQCA, having block size 2 x 2 x 2 and cell dimension 2. Signals, wires and gates emerge in an elegant fashion.

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Pablo Arrighi, Jonathan Grattage. 2010-10-15. A Quantum Game of Life. https://arxiv.org/abs/1010.3120

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