TY  - EJOUR
AU  - Funcke, Lena
AU  - Hartung, Tobias
AU  - Jansen, Karl
AU  - Kuehn, Stefan
AU  - Stornati, Paolo
AU  - Wang, Xiaoyang
TI  - Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction
IS  - arXiv:2007.03663
M1  - PUBDB-2021-02146
M1  - arXiv:2007.03663
M1  - HU-EP-20/15
M1  - DESY-20-147
SP  - 1-31
PY  - 2020
N1  - 31 pages, 13 figures
AB  - 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.
KW  - computer: quantum (INSPIRE)
KW  - hardware (INSPIRE)
KW  - performance (INSPIRE)
KW  - Ising model (INSPIRE)
KW  - qubit (INSPIRE)
KW  - correction: error (INSPIRE)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2021-02146
UR  - https://bib-pubdb1.desy.de/record/457860
ER  -