QSI Seminar: Pedro Costa, Macquarie University, Sydney

Quantum cellular automaton, an abstract model used to validate the quantum-to-classical transition.
TITLE: Quantum-to-Classical transition via Quantum Cellular Automata
SPEAKER: Dr Pedro Costa
AFFILIATION: Macquarie University, Sydney, Australia
RESEARCH TOPIC: Quantum algorithms
ABSTRACT
A quantum cellular automaton (QCA) is an abstract model consisting of an array of finite-dimensional quantum systems that evolves in discrete time by local unitary operations. Here we propose a simple coarse-graining map, where the spatial structure of the QCA is merged into effective ones. Starting with a QCA that simulates the Dirac equation we apply this coarse-graining map recursively until we get its effective dynamics in the semi-classical limit, which can be described by a classical cellular automaton. We show that the emergent-effective result of the former microscopic discrete model converges to the diffusion equation and to a classical transport equation under a specific initial condition. Therefore, QCA is a good model to validate the quantum-to-classical transition.
RELATED ARTICLES
Quantum-to-Classical transition via Quantum Cellular Automata, Pedro C.S. Costa. https://arxiv.org/abs/2012.04237
HOSTED BY
Dr Mária Kieferová, Centre for Quantum Software and Information, University of Technology Sydney, Australia