Time-marching based quantum solvers for time-dependent linear differential equations

Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrödinger Equation

(2022) Dong An et al.   Quantum

Quantum vs. Classical Algorithms for Solving the Heat Equation

(2022) Noah Linden et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

On the energy landscape of symmetric quantum signal processing

(2022) Jiasu Wang et al.   Quantum

Stable factorization for phase factors of quantum signal processing

(2022) Lexing Ying   Quantum

Theory of Trotter Error with Commutator Scaling

(2021) Andrew M. Childs et al.   Physical Review X

Koopman wavefunctions and Clebsch variables in Vlasov–Maxwell kinetic theory

(2021) Cesare Tronci et al.   JOURNAL OF PLASMA PHYSICS

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

Hamiltonian simulation in the low-energy subspace

(2021) Burak Şahinoğlu et al.   npj Quantum Information

Time-dependent unbounded Hamiltonian simulation with vector norm scaling

(2021) Dong An 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

Nearly Optimal Lattice Simulation by Product Formulas

(2019) Andrew M. Childs et al.   PHYSICAL REVIEW LETTERS

Random Compiler for Fast Hamiltonian Simulation

(2019) Earl Campbell   PHYSICAL REVIEW LETTERS

Toward the first quantum simulation with quantum speedup

(2018) Andrew M. Childs et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

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(2018)   QUANTUM INFORMATION & COMPUTATION

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(2018)   QUANTUM INFORMATION & COMPUTATION

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

Solving strongly correlated electron models on a quantum computer

(2015) Dave Wecker et al.   PHYSICAL REVIEW A

Simulating Hamiltonian Dynamics with a Truncated Taylor Series

(2015) Dominic W. Berry et al.   PHYSICAL REVIEW LETTERS

High-order quantum algorithm for solving linear differential equations

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

The Exponentially Convergent Trapezoidal Rule

(2014) Lloyd N. Trefethen et al.   SIAM REVIEW

Higher order decompositions of ordered operator exponentials

(2010) Nathan Wiebe et al.   Journal of Physics A-Mathematical and Theoretical

Quantum Algorithm for Linear Systems of Equations

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