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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

Quantum computational gradient estimation

Authors	David Bulger
Categories	quant-ph
ArXiv ID	quant-ph/0507109
URL	https://arxiv.org/abs/quant-ph/0507109

Abstract

Classically, determining the gradient of a black-box function f:R^p->R requires p+1 evaluations. Using the quantum Fourier transform, two evaluations suffice. This is based on the approximate local periodicity of exp(2*pi*i*f(x)). It is shown that sufficiently precise machine arithmetic results in gradient estimates of any required accuracy.

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    "abstract": "Classically, determining the gradient of a black-box function f:R^p-\u003eR\nrequires p+1 evaluations. Using the quantum Fourier transform, two evaluations\nsuffice. This is based on the approximate local periodicity of\nexp(2*pi*i*f(x)). It is shown that sufficiently precise machine arithmetic\nresults in gradient estimates of any required accuracy.",
    "arxiv_id": "quant-ph/0507109",
    "authors": [
      "David Bulger"
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    "title": "Quantum computational gradient estimation",
    "url": "https://arxiv.org/abs/quant-ph/0507109"
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