Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 36: Quantum Computation: Benchmarking and Certification

FM 36.7: Talk

Dienstag, 24. September 2019, 15:45–16:00, 2006

Mitigation of readout noise by classical post-processing based on Quantum Detector Tomography — Filip Maciejewski¹, Michał Oszmaniec², and •Zoltán Zimborás³ — ¹University of Warsaw, Faculty of Physics, Ludwika Pasteura 5, 02-093 Warszawa, Poland — ²National Quantum Information Centre, Faculty of Mathematics, Physics and Informatics, University of Gdansk, Wita Stwosza 57, 80-308 Gdansk, Poland — ³Wigner Research Centre for Physics H-1525 Budapest, P.O.Box 49, Hungary

We propose a simple scheme to reduce readout errors in experiments on quantum systems with finite number of measurement outcomes. Our method relies on performing classical post-processing which is preceded by Quantum Detector Tomography, i.e., the reconstruction of a Positive-Operator Valued Measure describing the given quantum measurement device. If the measurement device is affected only by an invertible classical noise, it is possible to correct the outcome statistics of future experiments performed on the same device. We provide a characterization of readout noise occurring in IBM and Rigetti quantum devices and observe a good agreement with this noise model, which suggests that classical noise might be a dominant form of noise for superconducting transmon qubits. Moreover, we analyze the influence of the presence of coherent errors on and finite statistics on the performence of our correction procedure. We also test our scheme experimentally on the IBM 5-qubit device and observe a significant improvement of results for the implementation of a number of algorithms and other quantum information processing tasks.