3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
Laplace and Dirac Operators on Graphs
Beata Casiday, Ivan Contreras, Thomas Meyer +2
Discrete versions of the Laplace and Dirac operators haven been studied in the context of combinatorial models of statistical mechanics and quantum field theory. In this paper we i…
Gluing of Graph Laplacians and Their Spectra
Ivan Contreras, Michael Toriyama, Chengzheng Yu
We study two different types of gluing for graphs: interface (obtained by choosing a common subgraph as the gluing component) and bridge gluing (obtained by adding a set of edges t…
Hyperwalk Formulae for Even and Odd Laplacians in Finite CW-Hypergraphs
Ivan Contreras, Sarah Loeb, Chengzheng Yu
In this note we provide a combinatorial interpretation for the powers of the hypergraph Laplacians. Our motivation comes from the discrete formulation of quantum mechanics and ther…
A Functorial Construction of Quantum Subtheories
Ivan Contreras, Ali Nabi Duman
We apply the geometric quantization procedure via symplectic groupoids proposed by E. Hawkins to the setting of epistemically restricted toy theories formalized by Spekkens. In the…