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

• URL: http://arxiv.org/abs/2007.03663v3
• Date: Thu, 1 Sep 2022 17:18:35 GMT
• Title: Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction
• Authors: Lena Funcke, Tobias Hartung, Karl Jansen, Stefan K\"uhn, Paolo Stornati, Xiaoyang Wang
• Abstract summary: 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.
• Score: 1.6872254218310017
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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