Tootfinder

Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations
Jacky Jiang, Natalie Klco, Olivia Di Matteo
https://arxiv.org/abs/2506.10945

Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations
Recent developments in mapping lattice gauge theories relevant to the Standard Model onto digital quantum computers identify scalable paths with well-defined quantum compilation challenges toward the continuum. As an entry point to these challenges, we address the simulation of SU(2) lattice gauge theory. Using qudit registers to encode the digitized gauge field, we provide quantum resource estimates, in terms of elementary qudit gates, for arbitrarily high local gauge field truncations. We the…

On the orbital stability of periodic snoidal waves for the $\phi^4-$equation
B. S. Lonardoni, F. Natali
https://arxiv.org/abs/2506.05547 https://

On the orbital stability of periodic snoidal waves for the $ϕ^4-$equation
The main purpose of this paper is to investigate the global well-posedness and orbital stability of odd periodic traveling waves for the $ϕ^4$-equation in the Sobolev space of periodic functions with zero mean. We establish new results on the global well-posedness of weak solutions by combining a semigroup approach with energy estimates. As a consequence, we prove the orbital stability of odd periodic waves by applying a Morse index theorem to the constrained linearized operator defined in the…