https://github.com/juliaquantumcontrol/quantumgradientgenerators.jl

Dynamic Gradients for Quantum Control
https://github.com/juliaquantumcontrol/quantumgradientgenerators.jl

grape linear-algebra quantum-control

Last synced: 7 months ago
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Dynamic Gradients for Quantum Control

• Host: GitHub
• URL: https://github.com/juliaquantumcontrol/quantumgradientgenerators.jl
• Owner: JuliaQuantumControl
• License: mit
• Created: 2022-12-22T03:14:42.000Z (almost 3 years ago)
• Default Branch: master
• Last Pushed: 2025-03-20T13:06:26.000Z (8 months ago)
• Last Synced: 2025-03-20T14:09:06.601Z (8 months ago)
• Topics: grape, linear-algebra, quantum-control
• Language: Julia
• Homepage: https://juliaquantumcontrol.github.io/QuantumGradientGenerators.jl/stable/
• Size: 688 KB
• Stars: 7
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# QuantumGradientGenerators

[![Version](https://juliahub.com/docs/General/QuantumGradientGenerators/stable/version.svg)](https://juliahub.com/ui/Packages/General/QuantumGradientGenerators)

[![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://JuliaQuantumControl.github.io/QuantumGradientGenerators.jl/stable/)

[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://JuliaQuantumControl.github.io/QuantumGradientGenerators.jl/dev/)

[![Build Status](https://github.com/JuliaQuantumControl/QuantumGradientGenerators.jl/actions/workflows/CI.yml/badge.svg?branch=master)](https://github.com/JuliaQuantumControl/QuantumGradientGenerators.jl/actions/workflows/CI.yml?query=branch%3Amaster)

[![Coverage](https://codecov.io/gh/JuliaQuantumControl/QuantumGradientGenerators.jl/branch/master/graph/badge.svg)](https://codecov.io/gh/JuliaQuantumControl/QuantumGradientGenerators.jl)

Dynamic Gradients for Quantum Control.

For a [dynamical generator](https://juliaquantumcontrol.github.io/QuantumPropagators.jl/stable/generators/) `G` that depends on one more control function `ϵ₁(t)` … `ϵₗ(t)`, this package defines the "gradient generator" `G̃` and "gradient vector" `|Ψ̃⟩` derived from a quantum state `|Ψ⟩`, so that

```math

\exp(± i \tilde{G} t) |\tilde{Ψ}⟩ = \begin{pmatrix}

    \frac{∂}{∂ϵ_1} e^{± i G t} |Ψ⟩ \\

    \vdots \\

    \frac{∂}{∂ϵ_n} e^{± i G t} |Ψ⟩ \\

    e^{± i G dt} |Ψ⟩

\end{pmatrix}\,.

```

This gradient generator is a core part of evaluating gradients in the [GRAPE][] method of [quantum control][QuantumControl].

To evaluate the above equation, the [QuantumPropagators][] package should be used.

## Documentation

The documentation of `QuantumGradientGenerators.jl` is available at .

## Installation

The `QuantumGradientGenerators` package can be installed with [Pkg][] as

~~~

pkg> add QuantumGradientGenerators

~~~

Note that this package is not intended for direct use. Instead, it serves as a building block for implementing quantum control methods, e.g. in the [GRAPE][] package.

For development usage within the [JuliaQuantumControl][] organization, see the [organization development notes](https://github.com/JuliaQuantumControl#development).

[JuliaQuantumControl]: https://github.com/JuliaQuantumControl

[QuantumControl]: https://github.com/JuliaQuantumControl/QuantumControl.jl#readme

[GRAPE]: https://github.com/JuliaQuantumControl/GRAPE.jl#readme

[QuantumPropagators]: https://github.com/JuliaQuantumControl/QuantumPropagators.jl#readme

[Pkg]: https://pkgdocs.julialang.org/v1/