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Natural Computing

An overview of quantum cellular automata

  • 20-09-2019
Published in:
Author
P. Arrighi
Published in
Natural Computing | Issue 4/2019

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Abstract

Quantum cellular automata are arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global evolution G is required to be causal (it propagates information at a bounded speed) and translation-invariant (it acts everywhere the same). Quantum cellular automata provide a model/architecture for distributed quantum computation. More generally, they encompass most of discrete-space discrete-time quantum theory. We give an overview of their theory, with particular focus on structure results; computability and universality results; and quantum simulation results.

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Title
An overview of quantum cellular automata
Author
P. Arrighi
Publication date
20-09-2019
Publisher
Springer Netherlands
Published in
Natural Computing / Issue 4/2019
Print ISSN: 1567-7818
Electronic ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-019-09762-6
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