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

Abstract

The experimental implementation of selective quantum process tomography (SQPT) involves computing individual elements of the process matrix with the help of a special set of states called quantum 2-design states. However, the number of experimental settings required to prepare input states from quantum 2-design states to selectively and precisely compute a desired element of the process matrix is still high, and hence constructing the corresponding unitary operations in the lab is a daunting task. In order to reduce the experimental complexity, we mathematically reformulated the standard SQPT problem, which we term the modified SQPT (MSQPT) method. We designed the generalized quantum circuit to prepare the required set of input states and formulated an efficient measurement strategy aimed at minimizing the experimental cost of SQPT. We experimentally demonstrated the MSQPT protocol on the IBM QX2 cloud quantum processor and selectively characterized various two- and three-qubit quantum gates.

12 pages, 5 figures

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• Experimental construction of a symmetric three-qubit entangled state and its utility in testing the violation of a Bell inequality on an NMR quantum simulator
• Efficient experimental characterization of quantum processes via compressed sensing on an NMR quantum processor
• Deterministic generation of frequency-bin-encoded microwave photons
• Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
• Experimental quantum state transfer of an arbitrary single-qubit state on a cycle with four vertices using a coined quantum random walk
• Selective and efficient quantum state tomography for multi-qubit systems