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Logical nonlocality is completely characterized by Hardys paradox in (2,2,l) and (2,k,2) scenarios. We consider a variety of consequences and applications of this fact. (i) Polynomial algorithms may be given for deciding logical nonlocality in these scenarios. (ii) Bell states are the only entangled two-qubit states which are not logically nonlocal under projective measurements. (iii) It is possible to witness Hardy nonlocality with certainty in a simple tripartite quantum system. (iv) Noncommutativity of observables is necessary and sufficient for enabling logical nonlocality.
Certain predictions of quantum theory are not compatible with the notion of local-realism. This was the content of Bells famous theorem of the year 1964. Bell proved this with the help of an inequality, famously known as Bells inequality. The alterna
We present a source of entangled photons that violates a Bell inequality free of the fair-sampling assumption, by over 7 standard deviations. This violation is the first experiment with photons to close the detection loophole, and we demonstrate enou
We present an experimental realisation of Hardys thought experiment [Phys. Rev. Lett. {bf 68}, 2981 (1992)], using photons. The experiment consists of a pair of Mach-Zehnder interferometers that interact through photon bunching at a beam splitter. A
Here we present the most general framework for $n$-particle Hardys paradoxes, which include Hardys original one and Cerecedas extension as special cases. Remarkably, for any $nge 3$ we demonstrate that there always exist generalized paradoxes (with t
Since the pillars of quantum theory were established, it was already noted that quantum physics may allow certain correlations defying any local realistic picture of nature, as first recognized by Einstein, Podolsky and Rosen. These quantum correlati