A quantum Fourier transform circuit for sample-based numerical derivatives is presented, together with a flawed partial-sum integration circuit whose derivation and scaling do not implement the trapezoidal rule.
Pure quantum gradient descent algorithm and full quantum variational eigensolver,
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A Spectral Quantum Algorithm for Numerical Differentiation and Integration
A quantum Fourier transform circuit for sample-based numerical derivatives is presented, together with a flawed partial-sum integration circuit whose derivation and scaling do not implement the trapezoidal rule.