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Bell's theorem states that quantum mechanical description on physicalquantity cannot be fully explained by local realistic theories, and lays solidbasis for various quantum information applications. Hardy's paradox iscelebrated to be the simplest form of Bell's theorem concerning its "All versusNothing" way to test local realism. However, due to experimental imperfections,existing tests of Hardy's paradox require additional assumptions ofexperimental systems, which constitute potential loopholes for faithfullytesting local realistic theories. Here, we experimentally demonstrate Hardy'snonlocality through a photonic entanglement source. By achieving a detectionefficiency of $82.2\%$, a quantum state fidelity of $99.10\%$ and applying highspeed quantum random number generators for measurement setting switching, theexperiment is implemented in a loophole-free manner. During $6$ hours ofrunning, a strong violation of $P_{\text{Hardy}}=4.646\times 10^{-4}$ up to $5$standard deviations is observed with $4.32\times 10^{9}$ trials. A nullhypothesis test shows that the results can be explained by local realistictheories with an upper bound probability of $10^{-16348}$. These testingresults present affirmative evidence against local realism, and provide anadvancing benchmark for quantum information applications based on Hardy'sparadox.

Loophole-free test of local realism via Hardy's violation