Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they
should absorb energy from the external drives involved in modulating their couplings and …

Discretizing spacetime is often a natural step towards modelling physical systems. For
quantum systems, if we also demand a strict bound on the speed of information propagation …

We introduce deterministic state-transformation protocols between many-body quantum
states that can be implemented by low-depth quantum circuits followed by local operations …

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

We introduce a class of models, dubbed paired twist-defect networks, that generalize the
structure of Kitaev's honeycomb model for which there is a direct equivalence between:(i) …

We develop techniques to probe the dynamics of quantum information and implement them
experimentally on an IBM superconducting quantum processor. Our protocols adapt shadow …

A fundamental result in modern quantum chaos theory is the Maldacena-Shenker-Stanford
upper bound on the growth of out-of-time-order correlators, whose infinite-temperature limit …

Unitary dynamics with a strict causal cone (or “light cone”) have been studied extensively,
under the name of quantum cellular automata (QCAs). In particular, QCAs in one dimension …

We bound the time necessary to implement the shift unitary on a one-dimensional ring, both
by using local Hamiltonians and those with power-law interactions. This time is constrained …

In two-dimensional Floquet systems, many-body localized dynamics in the bulk may give
rise to a chaotic evolution at the one-dimensional edges that is characterized by a nonzero …