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README.md

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 # QuantumCollocation.jl
 
-[<img src="assets/piccolo_logo_no_name.svg" alt="logo" width="35%"/>](https://github.com/aarontrowbridge/Piccolo.jl)
+<div align="center"> <a href="https://github.com/aarontrowbridge/Piccolo.jl">
+    <img src="assets/logo.svg" alt="logo" width="35%"/>
+</a> </div>
 
 
-[![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://aarontrowbridge.github.io/QuantumCollocation.jl/stable/)
-[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://aarontrowbridge.github.io/QuantumCollocation.jl/dev/)
-[![Build Status](https://github.com/aarontrowbridge/QuantumCollocation.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/aarontrowbridge/QuantumCollocation.jl/actions/workflows/CI.yml?query=branch%3Amain)
-<!-- [![Coverage](https://codecov.io/gh/aarontrowbridge/QuantumCollocation.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/aarontrowbridge/QuantumCollocation.jl) -->
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+| **Documentation** | **Build Status** | **Code Coverage** | **Support** |**Paper**|
+|:-----------------:|:----------------:|:-----------------:| :----------:|:--------:|
+| [![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://aarontrowbridge.github.io/QuantumCollocation.jl/stable/) [![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://aarontrowbridge.github.io/QuantumCollocation.jl/dev/) | [![Build Status](https://github.com/aarontrowbridge/QuantumCollocation.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/aarontrowbridge/QuantumCollocation.jl/actions/workflows/CI.yml?query=branch%3Amain) | [![Coverage](https://codecov.io/gh/aarontrowbridge/QuantumCollocation.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/aarontrowbridge/QuantumCollocation.jl)| [![Unitary Fund](https://img.shields.io/badge/Supported%20By-Unitary%20Fund-FFFF00.svg)](https://unitary.fund) | [![arXiv](https://img.shields.io/badge/arXiv-2305.03261-b31b1b.svg)](https://arxiv.org/abs/2305.03261)
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+</div>
 
-[![arXiv](https://img.shields.io/badge/arXiv-2305.03261-b31b1b.svg)](https://arxiv.org/abs/2305.03261)
-[![Unitary Fund](https://img.shields.io/badge/Supported%20By-Unitary%20Fund-FFFF00.svg)](https://unitary.fund)
 
 **QuantumCollocation.jl** uses [NamedTrajectories.jl](https://github.com/aarontrowbridge/NamedTrajectories.jl) to set up and solve direct collocation problems specific to quantum optimal control, i.e. generating a *pulse* sequence $a_{1:T-1}$ to drive a quantum system and realize a target gate $U_{\text{goal}}$. We formulate this problem as a nonlinear program (NLP) of the form