Quantum error mitigation for Fourier moment computation

Understand

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.