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Author

P. Arrighi

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2 papers indexed here

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Preprint Sep 2026

Causal graph rewriting

We introduce causal graph rewriting, a model of computation in which local rules are applied on directed acyclic graphs in an asynchronous manner. The non-determinism arising from asynchrony is disciplined by the oriented edges, which must be understood as both computational dependencies and locality constraints---and...

P. Arrighi, Marin Costes, Luidnel Maignan · 0 citations
Preprint Sep 2026

Connes Distance in Discrete-Time Quantum Walks

We study the geometric spread of discrete-time quantum walks using Connes'distance formula. We introduce its discrete analogue by adapting the continuous spectral metric to the lattice, with the Dirac operator replaced by the unitary step operator. Focusing first on a (2+1)-dimensional quantum walk, we evaluate the dyn...

R. Trabelsi, A. Reyes-Lega, P. Arrighi · 0 citations

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