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 study various methods to generate ensembles of random density matrices of a fixed size
N, obtained by partial trace of pure states on composite systems. Structured ensembles of …

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 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 …

Diagonal quantum circuits are quantum circuits comprising only diagonal gates in the
computational basis. In spite of a classical feature of diagonal quantum circuits in the sense …

We study the probability distribution of entanglement in the quantum symmetric simple
exclusion process, a model of fermions hopping with random Brownian amplitudes between …

We study the probability distribution of the index N+, ie, the number of positive eigenvalues
of an N× N Gaussian random matrix. We show analytically that, for large N and large N+ with …

We analyze the properties of entangled random pure states of a quantum system partitioned
into two smaller subsystems of dimensions N and M. Framing the problem in terms of …