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Hardy's paradox (equivalently, Hardy's non-locality or Hardy's test)[\href{https://link.aps.org/doi/10.1103/PhysRevLett.68.2981}{L. Hardy, Phys.Rev. Lett. \textbf{68}, 2981 (1992)}] is used to show non-locality withoutinequalities and it has been tested several times using optical circuits. We,for the first time, experimentally test Hardy's paradox of non-locality insuperconducting qubits. For practical verification of Hardy's paradox, we arguethat the error-modeling used in optical circuits is not useful forsuperconducting qubits. So, we propose a new error-modeling for Hardy's paradoxand a new method to estimate the lower bound on Hardy's probability (i.e., theprobability of a specific event in Hardy's test) for superconducting qubits.Our results confirmed the theory that any non-maximally entangled state of twoqubits violates Hardy's equations; whereas, any maximally entangled state andproduct state of two qubits do not exhibit Hardy's non-locality. Further, wepoint out the difficulties associated with the practical implementation ofquantum protocols based on Hardy's paradox and propose possible remedies. Wealso propose two performance measures for any two qubits of any quantumcomputer based on superconducting qubits.

A new error-modeling of Hardy's paradox for superconducting qubits and its experimental verification