A review of quantum cellular automata

T Farrelly - Quantum, 2020 - quantum-journal.org
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 …

Canonical data-reconstructions via kernels, Hilbert space-valued Gaussian processes, and quantum states

PET Jorgensen, J Tian - arxiv preprint arxiv:2405.02796, 2024 - arxiv.org
We offer new results and new directions in the study of operator-valued kernels and their
factorizations. Our approach provides both more explicit realizations and new results, as …

Cellular automata in operational probabilistic theories

P Perinotti - Quantum, 2020 - quantum-journal.org
The theory of cellular automata in operational probabilistic theories is developed. We start
introducing the composition of infinitely many elementary systems, and then use this notion …

Causal influence in operational probabilistic theories

P Perinotti - Quantum, 2021 - quantum-journal.org
We study the relation of causal influence between input systems of a reversible evolution
and its output systems, in the context of operational probabilistic theories. We analyse two …