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quant-ph2023
Compositionality of planar perfect matchings
Titouan Carette, Etienne Moutot, Thomas Perez +1
We exhibit a strong connection between the matchgate formalism introduced by Valiant and the ZW-calculus of Coecke and Kissinger. This connection provides a natural compositional f…
quant-ph2023
Aperiodicity in Quantum Wang Tilings
Titouan Carette, Etienne Moutot
By reformulating Wang tiles with tensors, we propose a natural generalization to the probabilistic and quantum setting. In this new framework, we introduce notions of tilings and p…