Paraconsistent Foundations for Quantum Probability
  It is argued that a fuzzy version of 4-truth-valued paraconsistent logic
(with truth values corresponding to True, False, Both and Neither) can be
approximately isomorphically mapped into the complex-number algebra of quantum
probabilities. I.e., p-bits (paraconsistent bits) can be transformed into close
approximations of qubits. The approximation error can be made arbitrarily
small, at least in a formal sense, and can be related to the degree of
irreducible "evidential error" assumed to plague an observer's observations.
This logical correspondence manifests itself in program space via an
approximate mapping between probabilistic and quantum types in programming
languages.
