Sprecher
Beschreibung
We review some recent results on the development of efficient tree tensor network algorithms and their applications to high-dimensional many-body quantum systems. In particular, we present recent results on two and three-dimensional lattice gauge theories in presence of fermionic matter at finite densities. Moreover, we show how to compute the entanglement of formation in critical many-body quantum systems at finite temperature, resulting in the generalization of the logarithmic formula for entanglement to open systems. We present one and two-dimensional simulations of out of equilibrium dynamics and how to implement them on different quantum simulation platforms. Finally, we present a resources estimations for quantum and quantum-inspired for future simulation of lattice gauge theories.