Quantum fermions from classical bits

• Verfasst von: Wetterich, Christof [VerfasserIn]
• Titel: Quantum fermions from classical bits
• Verf.angabe: Christof Wetterich
• Jahr: 2022
• Umfang: 16 S.
• Fussnoten: Published: 20 December 2021 ; Gesehen am 05.01.2022
• Titel Quelle: Enthalten in: Royal Society (London)Philosophical transactions of the Royal Society of London / A
• Ort Quelle: London : Royal Society, 1990
• Jahr Quelle: 2022
• Band/Heft Quelle: 380(2022), 2216, Artikel-ID 20210066, Seite 1-16
• ISSN Quelle: 1471-2962
• DOI: doi:10.1098/rsta.2021.0066
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: generalized Thirring model for fermions
• Sach-SW: probabilistic cellular automata
• Sach-SW: quantum mechanics from classical statistics
• K10plus-PPN: 1784852546

Abstract

A simple probabilistic cellular automaton is shown to be equivalent to a relativistic fermionic quantum field theory with interactions. Occupation numbers for fermions are classical bits or Ising spins. The automaton acts deterministically on bit configurations. The genuinely probabilistic character of quantum physics is realized by probabilistic initial conditions. In turn, the probabilistic automaton is equivalent to the classical statistical system of a generalized Ising model. For a description of the probabilistic information at any given time quantum concepts as wave functions and non-commuting operators for observables emerge naturally. Quantum mechanics can be understood as a particular case of classical statistics. This offers prospects to realize aspects of quantum computing in the form of probabilistic classical computing. - - This article is part of the theme issue ‘Quantum technologies in particle physics’.