Block Representation of Reversible Causal Graph Dynamics
Identifieur interne : 000400 ( Main/Exploration ); précédent : 000399; suivant : 000401Block Representation of Reversible Causal Graph Dynamics
Auteurs : Pablo Arrighi [France] ; Simon Martiel [France] ; Simon Perdrix [France]Source :
Abstract
Causal Graph Dynamics extend Cellular Automata to arbitrary, bounded-degree, time-varying graphs. The whole graph evolves in discrete time steps, and this global evolution is required to have a number of physics-like symmetries: shift-invariance (it acts everywhere the same) and causality (information has a bounded speed of propagation). We study a further physics-like symmetry, namely reversibility. More precisely, we show that Reversible Causal Graph Dynamics can be represented as finite-depth circuits of local reversible gates.
Url:
DOI: 10.1007/978-3-319-22177-9_27
Affiliations:
- France
- Provence-Alpes-Côte d'Azur
- Marseille, Nice
- Université Nice Sophia Antipolis, Université d'Aix-Marseille
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Le document en format XML
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<front><div type="abstract" xml:lang="en">Causal Graph Dynamics extend Cellular Automata to arbitrary, bounded-degree, time-varying graphs. The whole graph evolves in discrete time steps, and this global evolution is required to have a number of physics-like symmetries: shift-invariance (it acts everywhere the same) and causality (information has a bounded speed of propagation). We study a further physics-like symmetry, namely reversibility. More precisely, we show that Reversible Causal Graph Dynamics can be represented as finite-depth circuits of local reversible gates.</div>
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