Quantum Algorithms for Differential Equations

Quantum Algorithms for Differential Equations

Taylor truncation based algorithms

QuDiffEq.QuLDE — Type.
QuLDE <: QuODEAlgorithm

Linear differential equation solvers (non-HHL) * k : order of Taylor series expansion

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QuDiffEq.QuNLDE — Type.
QuNLDE <: QuODEAlgorithm

Linear differential equation solvers (non-HHL) * k : order of Taylor series expansion * ϵ : precision

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HHL based algorithms

The following algorithms are found in the article: arxiv.org/abs/1010.2745v2 .

QuDiffEq.LDEMSAlgHHL — Type.
LDEMSAlgHHL <: QuODEAlgorithm

Multi-step methods based on HHL

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QuDiffEq.QuEuler — Type.
QuEuler{T} <: LDEMSAlgHHL

Euler Method using HHL (1-step method)

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QuDiffEq.QuLeapfrog — Type.
QuLeapfrog{T} <: LDEMSAlgHHL

Leapfrog Method using HHL (2-step method)

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QuDiffEq.QuAB2 — Type.
QuAB2{T} <: LDEMSAlgHHL

AB2 Method using HHL (2-step method)

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QuDiffEq.QuAB3 — Type.
QuAB3{T} <: LDEMSAlgHHL

AB3 Method using HHL (3-step method)

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QuDiffEq.QuAB4 — Type.
QuAB4{T} <: LDEMSAlgHHL

AB4 Method using HHL (4-step method)

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