New Ideas on Tensor Networks for Entanglement in Quantum Many-Body Systems

Explore cutting-edge applications of tensor networks in quantum many-body systems through this 42-minute talk by Jens Eisert at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into three novel approaches: analytical computations using random tensor networks, practical applications in real quantum materials, and tensor networks in learning tasks. Discover how these methods can be used to study generic quantum states, holographic critical states, complexity, and entanglement estimation. Learn about efforts to observe many-body localization in quantum materials and augment tensor networks with mode transformations. Examine the potential of tensor networks in scalable Hamiltonian learning and capturing classical dynamical laws. Gain insights into the versatility and power of tensor networks as tools for understanding common structures in both quantum and classical many-body theory.