Deterministic classical dynamical systems have an ergodic hierarchy, from ergodic through
mixing, to Bernoulli systems that are “as random as a coin toss.” Dual-unitary circuits have …

Out-of-time-order correlators (OTOCs), vigorously being explored as a measure of quantum
chaos and information scrambling, is studied here in the natural and simplest multiparticle …

The problem of finding the resource-free, closest local unitary, to any bipartite unitary gate U
is addressed. Previously discussed as a measure of nonlocality, the distance KD (U) to the …

The resource theoretic measure of quantum coherence is basis dependent, and the amount
of coherence contained in a state is different in different bases. We obtained analytical …

Is it always possible to explain random stochastic transitions between states of a finite-
dimensional system as arising from the deterministic quantum evolution of the system? If not …

A bipartite system whose subsystems are fully quantum chaotic and coupled by a
perturbative interaction with a tunable strength is a paradigmatic model for investigating how …

Since quantum coherence is an undoubted characteristic trait of quantum physics, the
quantification and application of quantum coherence has been one of the long-standing …

We derive universal entanglement entropy and Schmidt eigenvalue behaviors for the
eigenstates of two quantum chaotic systems coupled with a weak interaction. The …

Entanglement properties of bipartite unitary operators are studied via their local invariants,
namely the entangling power ep and a complementary quantity, the gate typicality gt. We …

We study entanglement dynamics in a diagonal dephasing model in which the strength of
interaction decays exponentially with distance—the so-called l-bit model of many-body …