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Local realistic models cannot completely describe all predictions of quantummechanics. This is known as Bell's theorem that can be revealed either byviolations of Bell inequality, or all-versus-nothing proof of nonlocality.Hardy's paradox is an important all-versus-nothing proof and is considered as"the simplest form of Bell's theorem". In this work, we theoretically build thegeneral framework of Hardy-type paradox based on Bell inequality. PreviousHardy's paradoxes have been found to be special cases within the framework.Stronger Hardy-type paradox has been found even for the two-qubit two-settingcase, and the corresponding successful probability is about four times largerthan the original one, thus providing a more friendly test for experiment. Wealso find that GHZ paradox can be viewed as a perfect Hardy-type paradox.Meanwhile, we experimentally test the stronger Hardy-type paradoxes in atwo-qubit system. Within the experimental errors, the experimental resultscoincide with the theoretical predictions.

General Hardy-Type Paradox Based on Bell inequality and its Experimental Test