%0 Electronic Article
%A Funcke, Lena
%A Hartung, Tobias
%A Jansen, Karl
%A Kuehn, Stefan
%A Stornati, Paolo
%A Wang, Xiaoyang
%T Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction
%N arXiv:2007.03663
%M PUBDB-2021-02146
%M arXiv:2007.03663
%M HU-EP-20/15
%M DESY-20-147
%P 1-31
%D 2020
%Z 31 pages, 13 figures
%X 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.
%K computer: quantum (INSPIRE)
%K hardware (INSPIRE)
%K performance (INSPIRE)
%K Ising model (INSPIRE)
%K qubit (INSPIRE)
%K correction: error (INSPIRE)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2021-02146
%U https://bib-pubdb1.desy.de/record/457860