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## User: caroline-h-thompson

### Title: Homodyne detection and parametric down-conversion: a classical approach applied to proposed "loophole-free" Bell tests

A classical model is presented for the features of parametric down-conversion
and homodyne detection relevant to recent proposed loophole-free'' Belltests. The Bell tests themselves are uncontroversial: there are no obviousloopholes that might cause bias and hence, if the world does, after all, obeylocal realism, no violation of a Bell inequality will be observed. Interestcentres around the question of whether or not the proposed criterion fornon-classical'' light is valid. If cit is not, then the experiments will fail
in their initial concept, since both quantum theorists and local realists will
agree that we are seeing a purely classical effect. The Bell test, though, is
not the only criterion by which the quantum-mechanical and local realist models
can be judged. If the experiments are extended by including a range of
parameter values and by analysing, in addition to the proposed digitised
voltage differences, the raw voltages, the models can be compared in their
overall performance and plausibility.

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The first result in this paper provides a very general $\epsilon$-removal argument for the multilinear restriction estimate. The second result …