In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …

We propose a new type of locally interacting quantum circuits—quantum cellular automata—
that are generated by unitary interactions round-a-face (IRF). Specifically, we discuss a set …

Scrambling is the delocalization of quantum information over a many-body system and
underlies all quantum-chaotic dynamics. We employ discrete quantum cellular automata as …

We use complex network theory to study a class of photonic continuous variable quantum
states that present both multipartite entanglement and non-Gaussian statistics. We consider …

Quantum cellular automata (QCA) evolve qubits in a quantum circuit depending only on the
states of their neighborhoods and model how rich physical complexity can emerge from a …

We investigate the quantum dynamics of a spin chain that implements a quantum analog of
Conway's Game of Life. We solve the time-dependent Schrödinger equation starting with …

Abstract The 2021 Nobel Prize in Physics recognized the fundamental role of complex
systems in the natural sciences. In order to celebrate this milestone, this editorial presents …

Ergodicity breaking is observed in the blockade regime of Rydberg atom arrays, in the form
of low entanglement eigenstates known as scars, which fail to thermalize. The signature of …

We employ (1+ 1)-dimensional quantum cellular automata to study the evolution of
entanglement and coherence near criticality in quantum systems that display nonequilibrium …

Probabilistic cellular automata (CA) provide a classic framework for studying nonequilibrium
statistical physics on lattices. A notable example is the Domany-Kinzel CA, which has been …