Generalized Cayley Graphs and Cellular Automata over them - Pablo Arrighi; Simon Martiel; Vincent Nesme (CoRR, 2012)

Causal Dynamics of Discrete Surfaces. - Pablo Arrighi; Simon Martiel; Zizhu Wang (DCM, 2013)

Intrinsic Universality of Causal Graph Dynamics. - Simon Martiel; Bruno Martin (MCU, 2013)

Block Representation of Reversible Causal Graph Dynamics. - Pablo Arrighi; Simon Martiel; Simon Perdrix (FCT, 2015)

An Intrinsically Universal Family of Causal Graph Dynamics. - Simon Martiel; Bruno Martin (MCU, 2015)

Algorithmical and mathematical approaches of causal graph dynamics. (Approches informatique et mathématique des dynamiques causales de graphes). - Simon Martiel (2015)

Reversible Causal Graph Dynamics. - Pablo Arrighi; Simon Martiel; Simon Perdrix (RC, 2016)

Quantum Causal Graph Dynamics. - Pablo Arrighi; Simon Martiel (CoRR, 2016)

Universality of causal graph dynamics. - Simon Martiel; Bruno Martin (CoRR, 2016)

Causal dynamics of discrete manifolds. - Pablo Arrighi; Clément Chouteau; Stefano Facchini; Simon Martiel (NCMA, 2018)

Cellular automata over generalized Cayley graphs. - Pablo Arrighi; Simon Martiel; Vincent Nesme (Math. Struct. Comput. Sci., 2018)

Quantum CNOT Circuits Synthesis for NISQ Architectures Using the Syndrome Decoding Problem. - Timothée Goubault de Brugière; Marc Baboulin; Benoît Valiron; Simon Martiel; Cyril Allouche (RC, 2020)

Practical Implementation of a Quantum Backtracking Algorithm. - Simon Martiel; Maxime Remaud (SOFSEM, 2020)

Reversible causal graph dynamics: invertibility, block representation, vertex-preservation. - Pablo Arrighi; Simon Martiel; Simon Perdrix (Nat. Comput., 2020)

Anti-crossings and spectral gap during quantum adiabatic evolution. - Arthur Braida; Simon Martiel (Quantum Inf. Process., 2021)

Reducing the Depth of Linear Reversible Quantum Circuits. - Timothée Goubault de Brugière; Marc Baboulin; Benoît Valiron; Simon Martiel; Cyril Allouche (CoRR, 2022)

Gaussian Elimination versus Greedy Methods for the Synthesis of Linear Reversible Circuits. - Timothée Goubault de Brugière; Marc Baboulin; Benoît Valiron; Simon Martiel; Cyril Allouche (CoRR, 2022)

On constant-time quantum annealing and guaranteed approximations for graph optimization problems. - Arthur Braida; Simon Martiel; Ioan Todinca (CoRR, 2022)

Architecture aware compilation of quantum circuits via lazy synthesis. - Simon Martiel; Timothée Goubault de Brugière (Quantum, 2022)

Decoding techniques applied to the compilation of CNOT circuits for NISQ architectures. - Timothée Goubault de Brugière; Marc Baboulin; Benoît Valiron; Simon Martiel; Cyril Allouche (Sci. Comput. Program., 2022)

Anti-crossings occurrence as exponentially closing gaps in Quantum Annealing. - Arthur Braida; Simon Martiel; Ioan Todinca (CoRR, 2023)

Speeding up quantum circuits simulation using ZX-Calculus. - Tristan Cam; Simon Martiel (CoRR, 2023)

Tight Lieb-Robinson Bound for approximation ratio in Quantum Annealing. - Arthur Braida; Simon Martiel; Ioan Todinca (CoRR, 2023)

Faster and shorter synthesis of Hamiltonian simulation circuits. - Timothée Goubault de Brugière; Simon Martiel (CoRR, 2024)

Quantum computing with Qiskit. - Ali Javadi-Abhari; Matthew Treinish; Kevin Krsulich; Christopher J. Wood; Jake Lishman; Julien Gacon; Simon Martiel; Paul D. Nation; Lev S. Bishop; Andrew W. Cross; Blake R. Johnson; Jay M. Gambetta (CoRR, 2024)

Quantum-centric supercomputing for materials science: A perspective on challenges and future directions. - Yuri Alexeev; Maximilian Amsler; Marco Antonio Barroca; Sanzio Bassini; Torey Battelle; Daan Camps; David Casanova; Young Jay Choi; Frederic T. Chong; Charles Chung; Christopher Codella; Antonio D. Córcoles; et al. (Future Gener. Comput. Syst., 2024)

Universal Graph Theory Operations for Graph State Preparation. - Tristan Cam; Cyril Gavoille; Yvan Le Borgne; Simon Martiel (RC, 2025)

A graph-state based synthesis framework for Clifford isometries. - Timothée Goubault de Brugière; Simon Martiel; Christophe Vuillot (Quantum, 2025)

Pauli Network Circuit Synthesis with Reinforcement Learning. - Ayushi Dubal; David Kremer; Simon Martiel; Victor Villar; Derek Wang; Juan Cruz-Benito (CoRR, 2025)