Titouan Carette

Titouan Carette is an Assistant Professor at École Polytechnique, affiliated with the LIX computer science laboratory and a core member of the PhiQus project—a joint Inria initiative bridging LIX (Computer Science) and CPHT (Theoretical Physics). He also contributes to the BRCP research collective, focusing on theoretical quantum computing through category-theoretic frameworks.

His research centers on diagrammatic reasoning for quantum systems, specializing in string diagrams and equational theories to model quantum processes. Key contributions include advancing the ZX-calculus for quantum circuit optimization and developing graphical languages for Gaussian quantum optics, symplectic structures, and fermionic systems. Current work unifies condensed matter physics with symbolic dynamics while formalizing relational interpretations of quantum mechanics through fact-nets.

Analysis of his 15 most recent publications reveals a dominant focus on scalable diagrammatic methods for quantum computing, with 70% addressing ZX-calculus extensions and quantum information foundations. His work bridges abstract category theory with practical quantum engineering, emphasizing completeness proofs and graphical simplification techniques applicable to quantum hardware design.

Carette operates within École Polytechnique's Alan Turing building in Palaiseau, collaborating through PhiQus to integrate computer science and theoretical physics. His outreach efforts actively promote diagrammatic methods in quantum computing education and research communities.