Improved quantum algorithms for linear and nonlinear differential equations

On applications of quantum computing to plasma simulations

(2021) I. Y. Dodin et al.   PHYSICS OF PLASMAS

Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms

(2021) Alexander Engel et al.   PHYSICS OF PLASMAS

Efficient quantum algorithm for dissipative nonlinear differential equations

(2021) Jin-Peng Liu et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations

(2021) Cheng Xue et al.   NEW JOURNAL OF PHYSICS

High-precision quantum algorithms for partial differential equations

(2021) Andrew M. Childs et al.   Quantum

Quantum Spectral Methods for Differential Equations

(2020) Andrew M. Childs et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Time-dependent Hamiltonian simulation with L1-norm scaling

(2020) Dominic W. Berry et al.   Quantum

Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing

(2019) Yiğit Subaşı et al.   PHYSICAL REVIEW LETTERS

Optimal Hamiltonian Simulation by Quantum Signal Processing

(2017) Guang Hao Low et al.   PHYSICAL REVIEW LETTERS

Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision

(2017) Andrew M. Childs et al.   SIAM JOURNAL ON COMPUTING

Viriato : A Fourier–Hermite spectral code for strongly magnetized fluid–kinetic plasma dynamics

(2016) N.F. Loureiro et al.   COMPUTER PHYSICS COMMUNICATIONS

High-order quantum algorithm for solving linear differential equations

(2014) Dominic W Berry   Journal of Physics A-Mathematical and Theoretical

Quantum Algorithm for Linear Systems of Equations

(2009) Aram W. Harrow et al.   PHYSICAL REVIEW LETTERS