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Can a Bell test with no detection loophole be demonstrated for multi-photonentangled states of light within the current technology? We examine thepossibility of a postselection-free CHSH-Bell inequality test wih anunsymmetrical polarization singlet. To that end we employ a preselectionprocedure which is performed prior to the test. It allows using imperfect(coarse-grained) binary photodetection in the test. We show an example ofpreselection scheme which improves violation of the CHSH inequality with themicro-macro polarization singlet produced by the optimal quantum cloning. Thepreselection is realized by a quantum filter which is believed to be not usefulfor this purpose.

Towards loophole-free Bell inequality test with preselected unsymmetrical singlet states of light