FEqa: Finite element computations on quantum annealers

DOI10.1016/j.cma.2022.115014OpenAlexW4229055348MaRDI QIDQ2142201

Osama Muhammad Raisuddin, Suvranu De

Publication date: 27 May 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09743

zbMATH Keywords

optimizationfinite elementquantum computingquantum annealingdirect search cosine measureexponentially large positive spanning set

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Numerical optimization and variational techniques (65K10) Quantum computation (81P68) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to quantum theory (81-08) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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Cites Work

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• Quantum algorithm for linear differential equations with exponentially improved dependence on precision
• Analyzing the quantum annealing approach for solving linear least squares problems
• Positive bases with maximal cosine measure
• Adiabatic Quantum Computation Is Equivalent to Standard Quantum Computation
• Introduction to Derivative-Free Optimization
• Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision
• High-order quantum algorithm for solving linear differential equations

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