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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.
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Tripathi et al. (2024) studied this question.
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