Extended Tensor Products and Generalization of the Notion of Entanglement

Details Extended Tensor Products and Generalization of the Notion of Entanglement Extended Tensor Products and Generalization of the Notion of Entanglement

2012-03-02

arxiv.org/abs/1203.0412v1

Physics

General Physics

Proceedings of AIP, conference Foundations of Probability and Physics 6, Vaxjo, Sweden, June 2011, volume 1424

Scientific paper

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.

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