The purpose of this review is to present some of the latest developments using random
techniques, and in particular, random matrix techniques in quantum information theory. Our …

Understanding and simulating how a quantum system interacts and exchanges information
or energy with its surroundings is a ubiquitous problem, one which must be carefully …

Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the
average entanglement entropy associated with each possible spatial bipartition of the …

We study the fluctuations of the largest eigenvalue λ max of N× N random matrices in the
limit of large N. The main focus is on Gaussian β ensembles, including in particular the …

We introduce a new quantity, called pseudo-entropy, as a generalization of entanglement
entropy via postselection. We expect this quantity to provide a new class of order parameters …

We provide a summary of both seminal and recent results on typical entanglement.
By'typical'values of entanglement, we refer here to values of entanglement quantifiers that …

We study random quantum circuits and their rate of producing bipartite entanglement,
specifically with respect to the choice of 2-qubit gates and the order (protocol) in which these …

We compute analytically the statistics of the Renyi and von Neumann entropies (standard
measures of entanglement), for a random pure state in a large bipartite quantum system …

We consider a closed quantum system subjected to stochastic Poissonian resetting with rate
r to its initial state. Resetting drives the system to a nonequilibrium stationary state (NESS) …

Using a Coulomb gas method, we compute analytically the probability distribution of the
Renyi en<? format?> tropies (a standard measure of entanglement) for a random pure state …