DETERMINING THE FIDELITY OF SINGLE-QUBIT OPERATIONS USING RANDOMIZED BENCHMARKING

The purpose of the research: to determine an efficient and error-resilient method for assessing the fidelity of singlequbit quantum operations, as well as to formulate and experimentally implement an algorithm for determining the average accuracy of single-qubit quantum transformations Research methods: the theory of noisy quantum operations, randomization of single-qubit quantum circuits composed of Clifford group transformations, the theory of unitary 2-design, experimental validation on a quantum computer based on ytterbium-171 trapped ions Research results: an algorithm for estimating the average fidelity of single-qubit operations and its statistical error is described; experimental validation confirmed the correctness of the exponential decay model of the probability of obtaining the target state during measurement as the depth of the quantum circuit increases; the resulting experimental average fidelity of the single-qubit quantum operation is 99.94% Scientific novelty: the application of the randomized benchmarking method to determine the average fidelity of singlequbit quantum operations in quantum computing, particularly for an ion-based quantum processor with ytterbium-171 ions.