Algorithmic Error Mitigation Scheme for Current Quantum Processors

Philippe Suchsland1,2,3, Francesco Tacchino2, Mark H. Fischer3, Titus Neupert3, Panagiotis Kl. Barkoutsos2, and Ivano Tavernelli2

1Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland
2IBM Quantum, IBM Research – Zurich, 8803 Rueschlikon, Switzerland
3Department of Physics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland

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We present a hardware agnostic error mitigation algorithm for near term quantum processors inspired by the classical Lanczos method. This technique can reduce the impact of different sources of noise at the sole cost of an increase in the number of measurements to be performed on the target quantum circuit, without additional experimental overhead. We demonstrate through numerical simulations and experiments on IBM Quantum hardware that the proposed scheme significantly increases the accuracy of cost functions evaluations within the framework of variational quantum algorithms, thus leading to improved ground state calculations for quantum chemistry and physics problems beyond state-of-the-art results.

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