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The experimental implementation of selective quantum process tomography(SQPT) involves computing individual elements of the process matrix with thehelp of a special set of states called quantum 2-design states. However, thenumber of experimental settings required to prepare input states from quantum2-design states to selectively and precisely compute a desired element of theprocess matrix is still high, and hence constructing the corresponding unitaryoperations in the lab is a daunting task. In order to reduce the experimentalcomplexity, we mathematically reformulated the standard SQPT problem, which weterm the modified SQPT (MSQPT) method. We designed the generalized quantumcircuit to prepare the required set of input states and formulated an efficientmeasurement strategy aimed at minimizing the experimental cost of SQPT. Weexperimentally demonstrated the MSQPT protocol on the IBM QX2 cloud quantumprocessor and selectively characterized various two- and three-qubit quantumgates.

Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor