Colloquium di Dottorato: Simone Montagnero (U. di Padova)

This seminar will review recent advances in the development of efficient tree tensor network algorithms and their applications to quantum simulation, benchmarking, and theoretical interpretation [1,2].
In particular, results on two- and three-dimensional systems will be presented, both in and out of equilibrium, including scattering processes and induced false vacuum decay in the two-dimensional quantum Ising model [3]. It will further highlights 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, integer factorization and enabling quantum equational reasoning [4].
 

[1] Introduction to Tensor Network Methods, Simone Montangero Springer International Publishing
[2] Scattering and induced false vacuum decay in the two-dimensional quantum Ising model, Luka
Pavešić, Marco Di Liberto, Simone Montangero
arXiv:2509.02702
[3] Quantum algorithms for equational reasoning, Davide Rattacaso, Daniel Jaschke, Marco Ballarin, Ilaria Siloi, Simone Montenegro
arXiv:2508.21122
[4] Quantum inspired factorization up to 100-bit RSA number in polynomial time
Marco Tesoro, Ilaria Siloi, Daniel Jaschke, Giuseppe Magnifico, Simone Montangero
arXiv:2410.16355