My work belongs to three overlapping fields: quantum information and algorithms, algebraic combinatorics, and game theory. I participate in the HQI initiative , from the French national quantum plan, which funds my postdoc together with the Fondation Mathématique Jacques Hadamard .
Areas of interest Supervision Publications Co-authors
Areas of interest
Currently, I am working on
- quantum walks and algorithms for optimization,
- binary high-order polynomial optimization,
- interaction between high performance computing and quantum algorithms,
- the combinatorial structure and geometry of cooperative games and balanced collections,
- the algebraic structures of polymatroids, deformed permutohedra, and the braid or resonance arrangement,
- continuous-time dynamical systems on combinatorial structures.
Supervision
- Bruno Galibert (2025), Master 1 student, on “Quantum circuit simplification”, funded by a Quantum-Saclay grant.
- Qui Loc Phan (2024), Master 1 student, on “Quantum circuit design and combinatorial optimization”.
Publications, proceedings & preprints
For an updated list of articles, see my arXiv page .
————— Publications
Variational quantum algorithms for permutation-based combinatorial problems: Optimal ansatz generation with applications to quadratic assignment problems and beyond
Dylan Laplace Mermoud, Andrea Simonetto, Sourour Elloumi
Quantum 10, p. 1998, 2026, 36 pages
Attraction of the core and the cohesion flow
Dylan Laplace Mermoud
Theory and Decision 99, pp. 377-392, 2025
Minimal balanced collections and their application to core stability and other topics of game theory
Dylan Laplace Mermoud, Michel Grabich, Peter Sudhölter
Discrete Applied Mathematics 341, pp. 60-81, 2023
————— Proceedings
Combinatorics on Social Configurations
Dylan Laplace Mermoud, Pierre Popoli
Electronic Proceedings in Theoretical Computer Science 403, pp. 128-133, 2024
————— Preprints
Scaling QAOA: transferring optimal adiabatic schedules from small-scale to large-scale variational circuits
Ugo Nzongani, Dylan Laplace Mermoud, Arthur Braida
Under review, 2026
On the closest balanced game
Pedro García-Segador, Michel Grabisch, Dylan Laplace Mermoud, Pedro Miranda
Under review, 2025
Sampled-Based Guided Quantum Walk: Non-variational quantum algorithm for combinatorial optimization
Ugo Nzongani, Dylan Laplace Mermoud, Giuseppe Di Molfetta, Andrea Simonetto
Under review, 2025
The algebraic structures of social organizations: the operad of cooperative games
Dylan Laplace Mermoud, Victor Roca i Lucio
Under review, 2025
Diffusion in dynamic networks with time-varying inputs to allocate responsibility
Rosa van den Ende, Dylan Laplace Mermoud, 2025
Projection onto the core: An optimal reallocation to correct market failure
Dylan Laplace Mermoud, 2024
On the formation of steady coalitions
Dylan Laplace Mermoud, 2024
————— Doctoral thesis
Geometry of Set Functions in Game Theory: Combinatorial and Computational Aspects
Supervised by Michel Grabisch and Peter Sudhölter,
Reviewed by Marina Nuñez and Tamas Solymosi,
Chaired by Philippe Bich,
Additional jury members: Jean-Jacques Herings and Philippe Solal.
Co-authors (in chronological order)
Arthur Braida , Pedro García Segador , Pedro Miranda , Ugo Nzongani , Giuseppe Di Molfetta , Victor Roca i Lucio , Sourour Elloumi , Andrea Simonetto , Rosa van den Ende , Pierre Popoli , Michel Grabisch , Peter Sudhölter .