QSI Seminar: Pedro Costa | Macquarie University, Sydney

Quantum cellular automaton, an abstract model used to validate the quantum-to-classical transition.

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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.

HOSTED BY: Dr Mária Kieferová, Centre for Quantum Software and Information, University of Technology Sydney, Australia

 

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UTS acknowledges the Gadigal people of the Eora Nation, the Boorooberongal people of the Dharug Nation, the Bidiagal people and the Gamaygal people, upon whose ancestral lands our university stands. We would also like to pay respect to the Elders both past and present, acknowledging them as the traditional custodians of knowledge for these lands.