A physically universal quantum cellular automaton

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Abstract

We explore a quantum version of Janzing’s “physical universality”, a notion of computational universality for cellular automata which requires computations to be done directly on the cells. We discuss physical universality in general, the issues specific to the quantum setting, and give an example of a quantum cellular automaton achieving a quantum definition of physical universality.

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Schaeffer, L. (2015). A physically universal quantum cellular automaton. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9099, pp. 46–58). Springer Verlag. https://doi.org/10.1007/978-3-662-47221-7_4

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