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Algorithmic Error Mitigation Scheme for Current Quantum Processors

Philippe Suchsland, Francesco Tacchino, Mark H. Fischer, Titus Neupert, Panagiotis Kl. Barkoutsos, Ivano Tavernelli

2021Quantum36 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

Quantum computerQuantumComputer scienceScheme (mathematics)Quantum error correctionQuantum algorithmNoise (video)IBMQuantum phase estimation algorithmAlgorithmLanczos resamplingTerm (time)Error detection and correctionElectronic engineeringComputer engineeringLanczos algorithmState (computer science)Ground stateComputational scienceCurrent (fluid)Quantum noiseQuantum stateSoftwarePhysicsQuantum key distributionComputationEncoding (memory)Limit (mathematics)Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum-Dot Cellular Automata