International Journal of Theoretical Physics

, Volume 29, Issue 2, pp 113–123 | Cite as

Automata simulating quantum logics

  • A. A. Grib
  • R. R. Zapatrin


The idea of computational complementarity is developed further. A special class of macroscopic automata to imitate quantum and classical systems is described. The simplest automaton imitating a spin-1/2 particle is completely considered.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Birkhoff, G. (1967).Lattice Theory, American Mathematical Society, New York.Google Scholar
  2. Birkhoff, G., and von Neumann, J. (1936). On the logic of quantum mechanics,Annals of Mathematics,37, 823.Google Scholar
  3. D'Espagnat, B. (1976).Conceptual Foundations of Quantum Mechanics.Google Scholar
  4. Finkelstein, D., and Finkelstein, S. R. (1983). Computational complementarity,International Journal of Theoretical Physics,22, 753.Google Scholar
  5. Gudder, J. S. P. (1983). A finite-dimensional quark model,International Journal of Theoretical Physics,22, 947.Google Scholar
  6. Jauch, J. M. (1968).Foundations of Quantum Mechanics. Addison-Wesley Publishing Co, Reading, Mass.Google Scholar
  7. Zapatrin, Z. (1988). Automata imitating classical and quantum physical systems. Quantum logic approach,Reports on Mathematical Physics (Warsaw).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • A. A. Grib
    • 1
  • R. R. Zapatrin
    • 2
  1. 1.Leningrad Financial and Economical InstituteLeningradUSSR
  2. 2.Leningrad Polytechnical InstituteLeningradUSSR

Personalised recommendations