21 citations · 65 across the 19 of their papers we have counts for
5 papers · 1 filter
The Qupit Stabiliser ZX-travaganza: Simplified Axioms, Normal Forms and Graph-Theoretic Simplification
Boldizsár Poór, Robert I. Booth, Titouan Carette +2
We present a smorgasbord of results on the stabiliser ZX-calculus for odd prime-dimensional qudits (i.e. qupits). We derive a simplified rule set that closely resembles the origina…
Operational Quantum Reference Frame Transformations
Titouan Carette, Jan Głowacki, Leon Loveridge
Quantum reference frames are needed in quantum theory for much the same reasons that reference frames are in classical theories: to manifest invariance in line with fundamental rel…
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…
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…
Complete Graphical Language for Hermiticity-Preserving Superoperators
Titouan Carette, Timothée Hoffreumon, Émile Larroque +1
Universal and complete graphical languages have been successfully designed for pure state quantum mechanics, corresponding to linear maps between Hilbert spaces, and mixed states q…