Quantum Cellular Automata from Lattice Field Theories

Simple item page
dc.creatorMcGuigan, Michael
dc.date2003-07-24
dc.date.accessioned2026-07-07T06:07:25Z
dc.date.available2026-07-07T06:07:25Z
dc.descriptionWe apply the methods of lattice field theories to the quantization of cellular automata. We discuss the quantization of five main categories of cellular automata: bosonic, fermionic, supersymmetric, spin and quantum dot using path integral and operator formalisms of lattice field theories. We show that the quantization of supersymmetric cellular automata is related to recently discussed string bit models of Thorn and Bergman and represents a link of cellular automata theory to fundamental physics. We discuss spin and quantum dot cellular automata for their importance in experimental realizations and their use in quantum computation. Previous studies of quantum cellular automata utilize the wave function values as cell contents and the discretized linear Dirac equation as an update equation. We show that our approach to the quantization of fermionic cellular automata includes this utilization as a field equation, and in addition allows for nonlinearity through lattice field interactions.
dc.description26 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0307176
dc.identifierhttp://arxiv.org/abs/quant-ph/0307176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91287
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectCellular Automata and Lattice Gases
dc.titleQuantum Cellular Automata from Lattice Field Theories
dc.typetext

Files

Collections

arXiv