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Measurement error mitigation in quantum computers through classical bit-flip correction

L. Funcke, T. Hartung, K. Jansen, S. Kühn, Paolo Stornati, Xiaoyang Wang·July 7, 2020·DOI: 10.1103/PhysRevA.105.062404
PhysicsComputer Science

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Abstract

We develop a classical bit-flip correction method to mitigate measurement errors on quantum computers. This method can be applied to any operator, any number of qubits, and any realistic bit-flip probability. We first demonstrate the successful performance of this method by correcting the noisy measurements of the ground-state energies of the longitudinal and transversal Ising models. We then generalize our results to arbitrary operators and test our method both numerically and experimentally on IBM quantum hardware. As a result, our correction method reduces the measurement error on the quantum hardware by up to one order of magnitude.

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