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Gate set tomography (GST) is a self-consistent and highly accurate method forthe tomographic reconstruction of a quantum information processor's quantumlogic operations, including gates, state preparations, and measurements.However, GST's experimental cost grows exponentially with qubit number. Forcharacterizing even just two qubits, a standard GST experiment may have tens ofthousands of circuits, making it prohibitively expensive for platforms. We showthat, because GST experiments are massively overcomplete, many circuits can bediscarded. This dramatically reduces GST's experimental cost while stillmaintaining GST's Heisenberg-like scaling in accuracy. We show how to exploitthe structure of GST circuits to determine which ones are superfluous. Weconfirm the efficacy of the resulting experiment designs both through numericalsimulations and via the Fisher information for said designs. We also explorethe impact of these techniques on the prospects of three-qubit GST.

Two-Qubit Gate Set Tomography with Fewer Circuits