(Pontificia Universidad Católica del Perú, 2018-08-28) De Zela Martínez, Francisco; Massoni Kamimoto, Eduardo Rubén
This work contains a series of contributions that are related, in one form or
another, with the placement of the quantum-classical boundary. Three results that
have been widely taken as characteristic traits of quantum phenomena are here
shown to appear in purely classical contexts as well. These are: Born’s rule, Bell
violations and Bohr’s complementarity. This work discusses how Born’s rule may
be derived from some basic assumptions that relate to measurements in general,
thereby showing that said rule applies when dealing with both classical and
quantum cases. Bell violations are ultimately based upon Born’s rule. Therefore,
the applicability of the latter in a classical context leads to Bell violations in this very
same context. We can therefore predict non-quantum Bell violations. Moreover, we
report experimental results confirming these violations. Finally, we address Bohr’s
complementarity in a quantitative way and derive an equation that links visibility
and distinguishability – two complementary features of an interferometric array –
with polarization, which can be seen as an “internal” degree of freedom.
