Quantum error mitigation for Fourier moment computation

Kiss, Oriel; Grossi, Michele; Roggero, Alessandro

doi:10.1103/PhysRevD.111.034504

Title: Quantum error mitigation for Fourier moment computation

Journal Article · 09 February 2025 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.111.034504 · OSTI ID:2513512

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Hamiltonian moments in Fourier space—expectation values of the unitary evolution operator under a Hamiltonian at different times—provide a convenient framework to understand quantum systems. They offer insights into the energy distribution, higher-order dynamics, response functions, correlation information, and physical properties. This paper focuses on the computation of Fourier moments within the context of a nuclear effective field theory on superconducting quantum hardware. The study integrates echo verification and noise renormalization into Hadamard tests using control reversal gates. These techniques, combined with purification and error suppression methods, effectively address quantum hardware decoherence. The analysis, conducted using noise models, reveals a significant reduction in noise strength by two orders of magnitude. Moreover, quantum circuits involving up to 266 gates over five qubits demonstrate high accuracy under these methodologies when run on IBM superconducting quantum devices. Published by the American Physical Society 2025

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Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI ID:: 2513512

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 111; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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