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SUMMARY:Pedro Costa (Macquarie University\, Sydney\, Australia)
DTSTART:20210429T030000Z
DTEND:20210429T040000Z
DTSTAMP:20260423T041750Z
UID:UTSQSI/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UTSQSI/22/">
 Quantum-to-Classical transition via Quantum Cellular Automata</a>\nby Pedr
 o Costa (Macquarie University\, Sydney\, Australia) as part of Centre for 
 Quantum Software and Information Seminar Series\n\n\nAbstract\nA quantum c
 ellular automaton (QCA) is an abstract model consisting of an array of fin
 ite-dimensional quantum systems that evolves in discrete time by local uni
 tary 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 limi
 t\, which can be described by a classical cellular automaton. We show that
  the emergent-effective result of the former microscopic discrete model co
 nverges to the diffusion equation and to a classical transport equation un
 der a specific initial condition. Therefore\, QCA is a good model to valid
 ate the quantum-to-classical transition.\n\nPlease email cqsiadmin@uts.edu
 .au to request the zoom link. Include your company/organisation's email an
 d your Zoom account name in your request.\n
LOCATION:https://researchseminars.org/talk/UTSQSI/22/
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