Abstract
Different non-classicality criteria expressed in the form of inequalities among intensity moments and elements of photon-number distributions are applied to noisy twin beams and other two-mode states obtained from a twin beam by using a beam splitter. Their performance in revealing the non-classicality is judged in comparison with the exact results provided by suitable entanglement and local non-classicality quantifiers. Whereas the non-classicality of noisy twin beams is always revealed by these criteria, not all the nonclassical states obtained at the output of the beam splitter can be identified by these experimentally easily reachable criteria.
Highlights
Different non-classicality criteria expressed in the form of inequalities among intensity moments and elements of photon-number distributions are applied to noisy twin beams and other two-mode states obtained from a twin beam by using a beam splitter
We show that whereas the applied global non-classicality criteria (GNCCa) allow us to recognize all entangled noisy twin beams, not all two-mode nonclassical states occurring beyond the beam splitter can be identified with the used GNCCa and local non-classicality criteria (LNCCa)
It has been shown that the non-classicality criteria based on the elements of photon-number distributions exhibit in general better performance in revealing both local and global non-classicalities compared to those containing intensity moments
Summary
Have been found powerful in ref. when revealing non-classicality. We note that they originate in the matrix approach that is based upon non-negativity of classical quadratic forms. The most powerful single-mode LNCCa have been derived in ref. using the majorization theory. They have been tested on the experimental sub-Poissonian fields in ref.. They have been tested on the experimental sub-Poissonian fields in ref.13 They attain the following form for mode j, j = 1, 2: RkW,lj ≡
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