The central selling point of qubit-based quantum processors is that they can supposedly solve certain types of tasks much faster than a classical computer. This comes however with the major ...

Simulated low temperature (left) and high temperature (right) phase of a 2D Ising model, where blue points are spins pointing up, and the red points are spins pointing down. Notice that the spins in ...

Annals of Mathematics, SECOND SERIES, Vol. 181, No. 3 (May, 2015), pp. 1087-1138 (52 pages) We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and ...

In the nanoworld, magnetism has proven to be truly surprising. Just a few atoms thick, magnetic 2D materials could help to satisfy scientists' curiosities and fulfil dreams for ever-smaller ...

Combinatorial optimization problems are at the root of many industrial processes and solving them is key to a more sustainable and efficient future. Ising machines can solve certain combinatorial ...

Say that a graph has persistent transition if the Ising model on the graph can exhibit a phase transition (nonuniqueness of Gibbs measures) in the presence of a nonzero external field. We show that ...