This tutorial article introduces the physics of quantum information scrambling in quantum
many-body systems. The goals are to understand how to precisely quantify the spreading of …

Entanglement is one of the most important concepts in quantum physics. We review recent
progress in understanding the quantum entanglement in many-body systems using large-N …

We analyze the dynamics of entanglement in a paradigmatic noninteracting system subject
to continuous monitoring of the local excitation densities. Recently, it was conjectured that …

We study a proper definition of Rényi mutual information (RMI) in quantum field theory as
defined via the Petz Rényi relative entropy. Unlike the standard definition, the RMI we …

We study various quantum quench processes induced by the Möbius/sine-square
deformation of the Hamiltonian in two-dimensional conformal field theories starting from the …

A bstract We study how coarse-graining procedure of an underlying UV-complete quantum
gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays …

Quantum error correction (QEC) is a key concept in quantum computation as well as many
areas of physics. There are fundamental tensions between continuous symmetries and …

Performing quantum measurements produces not only the expectation value of a physical
observable O but also the probability distribution P (o) of all possible outcomes o. The full …

A bstract In this work, we introduce a symmetry-based approach to study the scrambling and
operator dynamics of Brownian SYK models at large finite N and in the infinite N limit. We …

Partial information decomposition (PID) takes one step beyond Shannon's theory in
decomposing the information two variables, A and B, possess about a third variable, T, into …