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Both the quantum mechanical and classical Bells experiment are within thefocus of this paper. The fact that one measures different probabilities in bothexperiments is traced back to the superposition of two orthogonal butnonentangled substates in the quantum mechanical case. This superpositionresults in an interference term that can be splitted into two additional statesrepresenting a sink and a source of probabilities in the classical event spacerelated to Bells experiment. As a consequence, a statistical operator can berelated to the quantum mechanical Bells experiment that contains alreadynegative quasi probabilities, as usually known from quantum optics inconjunction with the Glauber-Sudarshan equation. It is proven that theexistence of such negative quasi probabilities are neither a sufficient nor anecessary condition for entanglement. The equivalence of using an interactionpicture in a fixed basis or of employing a change of basis to describe Bellsexperiment is demonstrated afterwards. The discussion at the end of this paperregarding the application of the complementarity principle to the quantummechanical Bells experiment is supported by very recent double slit experimentsperformed with polarization entangled photons.

Bell's Experiment in Quantum Mechanics and Classical Physics