Speaker
Simone Montangero
Description
We review recent advances in the development of efficient tree tensor network algorithms and their applications to quantum simulation, benchmarking, and theoretical interpretation. In particular, we present results on two- and three-dimensional systems, both in and out of equilibrium, including scattering processes and induced false vacuum decay in the two-dimensional quantum Ising model. We further highlight the use of tree tensor network methods beyond traditional quantum simulation, such as addressing hard classical combinatorial problems through mappings to many-body quantum Hamiltonians, optimizing quantum compilation tasks, and enabling quantum equational reasoning.