We review some recent results on the development of efficient tree tensor network algorithms and their applications to quantum simulation benchmarking and theoretical interpretation. In particular, we present results on lattice gauge theories 2+1 and 3+1 dimensions at finite density, and out-of-equilibrium in 1+1 dimensions. Moreover, we present a roadmap for future tensor networks simulations...
Starting from the statements of the previous talk, we present the implementation on FPGA of Tree Tensor Networks as binary classifiers, highlighting the possibility of their deployment in high-frequency real-time environments, such as the online trigger systems of HEP experiments. The linear algebra operations needed by TTNs make them easily deployable on FPGAs, which are extremely suitable...
