Analytic gradients in variational quantum algorithms: Algebraic extensions of the parameter-shift rule to general unitary transformations

Optimization of unitary transformations in Variational Quantum Algorithms benefits highly from efficient evaluation of cost function gradients with respect to amplitudes of unitary generators. We propose several extensions of the parametric-shift-rule to formulating these gradients as linear combina...

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Bibliographic Details

Published in:	arXiv.org
Main Authors:	Izmaylov, Artur F, Lang, Robert A, Yen, Tzu-Ching
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 19.12.2021
Subjects:	Algorithms Cost function Decomposition Eigenvalues Generators Mathematical analysis Operators Optimization Polynomials Qubits (quantum computing) Spectrum analysis Transformations (mathematics)
ISSN:	2331-8422
Online Access:	Get full text
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