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Author

A. Reyes-Lega

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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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