The many-valued logic of quantum mechanics
AbstractIt is shown that any quantum logic in the Birkhoff - von Neumann sense that possesses anordering set of probability measures can be isomorphically represented as a particular kindof infinite-valued Łukasiewicz logic with partially defined conjunction and disjunction. Itis argued that such non-classical features of BvN quantum logic as lack of distributivity orvalidity of the orthomodular law follow from properties of Łukasiewicz conjunction anddisjunction.
|Journal series||International Journal of Theoretical Physics, ISSN 0020-7748, e-ISSN 1572-9575, (N/A 40 pkt)|
|Publication size in sheets||0.50|
|Keywords in English||quantum logic, many-valued logic, Łukasiewicz logic|
|License||Other; published final; ; with publication|
|Score||= 40.0, 29-02-2020, ArticleFromJournal|
|Publication indicators||: 2018 = 0.541; : 2018 = 1.121 (2) - 2018=0.971 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.