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arxiv: 1010.3120 · v2 · pith:W7SZ3ZXYnew · submitted 2010-10-15 · 🪐 quant-ph

A Quantum Game of Life

classification 🪐 quant-ph
keywords pqcaquantumamongstautomatonbeforebelongsblockcell
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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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