Part 2 of this monograph builds on the introduction to tensor networks and their operations
presented in Part 1. It focuses on tensor network models for super-compressed higher-order …

Tensor networks (TNs) have become one of the most essential building blocks for various
fields of theoretical physics such as condensed matter theory, statistical mechanics …

Interacting many-electron problems pose some of the greatest computational challenges in
science, with essential applications across many fields. The solutions to these problems will …

The current generation of noisy intermediate-scale quantum computers introduces new
opportunities to study quantum many-body systems. In this paper, we show that quantum …

A bstract We expand on our results in [1] to present a broad new class of gravitational
observables in asymptotically Anti-de Sitter space living on general codimension-zero …

A bstract We propose an optimization procedure for Euclidean path-integrals that evaluate
CFT wave functionals in arbitrary dimensions. The optimization is performed by minimizing …

We introduce a coarse-graining transformation for tensor networks that can be applied to
study both the partition function of a classical statistical system and the Euclidean path …

A bstract It was recently conjectured that the quantum complexity of a holographic boundary
state can be computed by evaluating the gravitational action on a bulk region known as the …

We introduce a new optimization procedure for Euclidean path integrals, which compute
wave functionals in conformal field theories (CFTs). We optimize the background metric in …

A bstract We investigate how the complexity= anything observables proposed by [1, 2] can
be used to investigate the interior geometry of AdS black holes. In particular, we illustrate …