https://github.com/harmoniqs/quantumcollocation.jl

Quantum Optimal Control with Direct Collocation
https://github.com/harmoniqs/quantumcollocation.jl

direct-collocation julia optimal-control optimization quantum-computing quantum-optimal-control trajectory-optimization

Last synced: 6 months ago
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Quantum Optimal Control with Direct Collocation

• Host: GitHub
• URL: https://github.com/harmoniqs/quantumcollocation.jl
• Owner: harmoniqs
• License: mit
• Created: 2023-02-09T21:13:27.000Z (almost 3 years ago)
• Default Branch: main
• Last Pushed: 2025-06-23T04:42:06.000Z (7 months ago)
• Last Synced: 2025-06-23T05:31:52.362Z (7 months ago)
• Topics: direct-collocation, julia, optimal-control, optimization, quantum-computing, quantum-optimal-control, trajectory-optimization
• Language: Julia
• Homepage:
• Size: 94.5 MB
• Stars: 34
• Watchers: 6
• Forks: 14
• Open Issues: 37
• Metadata Files:
  • Readme: README.md
  • License: LICENSE
  • Citation: CITATION.cff

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   Quickly set up and solve problem templates for quantum optimal control

  




# QuantumCollocation.jl

**QuantumCollocation.jl** sets up and solves *quantum control problems* as nonlinear programs (NLPs). In this context, a generic quantum control problem looks like

```math

\begin{aligned}

    \arg \min_{\mathbf{Z}}\quad & J(\mathbf{Z}) \\

    \nonumber \text{s.t.}\qquad & \mathbf{f}(\mathbf{Z}) = 0 \\

    \nonumber & \mathbf{g}(\mathbf{Z}) \le 0  

\end{aligned}

```

where $\mathbf{Z}$ is a trajectory  containing states and controls, from [NamedTrajectories.jl](https://github.com/harmoniqs/NamedTrajectories.jl).

For details of our implementation please see our IEEE QCE 2023 paper, [Direct Collocation for Quantum Optimal Control](https://arxiv.org/abs/2305.03261). If you use QuantumCollocation.jl in your work, please cite :raised_hands:!

## Installation

This package is registered! To install, enter the Julia REPL, type `]` to enter pkg mode, and then run:

```julia

pkg> add QuantumCollocation

```

## Example

### Single Qubit Hadamard Gate

```Julia

using QuantumCollocation

T = 50

Δt = 0.2

system = QuantumSystem([PAULIS[:X], PAULIS[:Y]])

U_goal = GATES.H

# Hadamard Gate

prob = UnitarySmoothPulseProblem(system, U_goal, T, Δt)

solve!(prob, max_iter=100)

```