  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.
