Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction

Funcke, Lena; Stornati, Paolo; Wang, Xiaoyang; Jansen, Karl; Hartung, Tobias; Kuehn, Stefan

Preprint

PUBDB-2021-02146

Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction

Funcke, L. ; Hartung, T. ; Jansen, K.DESY* ; Kuehn, S.Extern* ; Stornati, P.INFN*DESY* ; Wang, X.

2020

1-31 (2020) [10.3204/PUBDB-2021-02146]

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Please use a persistent id in citations: doi:10.3204/PUBDB-2021-02146

Report No.: DESY-20-147; HU-EP-20/15; arXiv:2007.03663

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 energy of the longitudinal Ising model. 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. We finally discuss how to pre-process the method and extend it to other errors sources beyond measurement errors. For local Hamiltonians, the overhead costs are polynomial in the number of qubits, even if multi-qubit correlations are included.

Keyword(s): computer: quantum ; hardware ; performance ; Ising model ; qubit ; correction: error