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The Einstein-Podolsky-Rosen (EPR) paradox is one of the milestones in quantumfoundations, arising from the lack of local realistic description of quantummechanics. The EPR paradox has stimulated an important concept of "quantumnonlocality", which manifests itself by three different types: quantumentanglement, quantum steering, and Bell nonlocality. Although Bell nonlocalityis more often used to show the "quantum nonlocality", the original EPR paradoxis essentially a steering paradox. In this work, we formulate the original EPRsteering paradox into a contradiction equality,thus making it amenable to anexperimental verification. We perform an experimental test of the steeringparadox in a two-qubit scenario. Furthermore, by starting from the steeringparadox, we generate a generalized linear steering inequality and transformthis inequality into a mathematically equivalent form, which is more friendlyfor experimental implementation, i.e., one may only measure the observables in$x$-, $y$-, or $z$-axis of the Bloch sphere, rather than other arbitrarydirections. We also perform experiments to demonstrate this scheme. Within theexperimental errors, the experimental results coincide with the theoreticalpredictions. Our results deepen the understanding of quantum foundations andprovide an efficient way to detect the steerability of quantum states.

A Steering Paradox for Einstein-Podolsky-Rosen Argument and its Extended Inequality