Extended Tensor Products and Generalization of the Notion of Entanglement

Autor: Khrennikov, Andrei, Rosinger, Elemer E.
Rok vydání: 2012
Předmět:
Zdroj: FOUNDATIONS OF PROBABILITY AND PHYSICS - 6, AIP Conf. Proc., 1424 (2012)
Druh dokumentu: Working Paper
DOI: 10.1063/1.3688968
Popis: Motivated by the novel applications of the mathematical formalism of quantum theory and its generalizations in cognitive science, psychology, social and political sciences, and economics, we extend the notion of the tensor product and entanglement. We also study the relation between conventional entanglement of complex qubits and our generalized entanglement. Our construction can also be used to describe entanglement in the framework of non-Archimedean physics. It is also possible to construct tensor products of non-Archimedean (e.g., $p$-adic) and complex Hilbert spaces.
Comment: Proceedings of AIP, conference Foundations of Probability and Physics 6, Vaxjo, Sweden, June 2011, volume 1424
Databáze: arXiv