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 …

The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

We construct a novel three-dimensional quantum cellular automaton (QCA) based on a
system with short-range entangled bulk and chiral semion boundary topological order. We …

Quantum cellular automata are unitary maps that preserve locality and respect causality. We
identify them, in any dimension, with simple tensor networks (projected entangled pair …

We systematically investigate the robustness of symmetry protected topological (SPT) order
in open quantum systems by studying the evolution of string order parameters and other …

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 …

DHR bimodules of quasi-local algebras and symmetric quantum cellular automata Page 1
Quantum Topol. 15 (2024), 633–686 DOI 10.4171/QT/216 © 2024 European Mathematical …

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 …

Cellular automata are interacting classical bits that display diverse emergent behaviors, from
fractals to random-number generators to Turing-complete computation. We discover that …

The spectral form factor (SFF) captures universal spectral fluctuations as signatures of
quantum chaos, and has been instrumental in advancing multiple frontiers of physics …