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We introduce deterministic benchmarking (DB), a protocol designed to identify the interplay of coherent and incoherent errors overlooked by randomized benchmarking (RB) and related benchmarking methods. DB provides a set of four parameters that characterize both incoherent and coherent errors in the single-qubit gate set. Furthermore, DB reveals asymmetries in gate performance induced by strong relaxation errors (T₁). We experimentally demonstrate DB using a superconducting transmon qubit and support these results with a simple analytical model and master equation simulations. Our findings uncover critical errors missed by conventional RB and point to strategies to mitigate these errors.
Tripathi et al. (Sat,) studied this question.