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Measuring correlations in non-separable vector beams using projective measurements

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Preprint
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arXiv ID: 1602.06656
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arXiv
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Abstract

In quantum mechanics, two particles are said to be entangled if the composite wavefunction is non-separable. Separating the two particles and measuring their coincidences as was done in the Aspect experiment leads to a modulated correlation between the polarization states of the two particles. In this article we demonstrate a similar experiment to look at photons whose two degrees of freedom (DoF)- polarization and mode - are entangled, ie the system can be modelled as a non-separable function in the Hilbert space. We propose an interferometric method to perform projective measurements that leads to correlations as seen for entangled quantum particles culminating in violation of Bell's inequality. This leads us to conclude that 'spooky action at a distance', though highly counter-intuitive and an interesting phenomena in its own right, need not be invoked and what is essential is non-separability of the wave function to show that quantum mechanics is complete and supplementation by hidden variables is an exercise in futility.

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