[Feature]: interface with QuantumOptics.jl

[aarontrowbridge]

Feature Description

It would be great to have the functionality to build QuantumSystems using operators from QuantumOptics.jl. This should be a very simple PR that adds a dependency for QuantumOptics and creates a method for QuantumSystem.

Implementation Guidelines

• A file should be added to the directory src/quantum_system_templates, matching the style of the files therein.
• Add a doc script to the folder docs/literate/man
  • see the Literate.jl docs and the other scripts in the docs/literate folder
• Add a file to test with some simple tests for the functions exported

Importance

2

What does this feature affect?

• quantum system construction
• problem setup
• problem solution
• problem performance
• solution analysis
• plotting
• documentation
• tests
• other (please specify below)

Other information

No response

[aarontrowbridge]

I think this should potentially interface with QuantumToolbox.jl, if this is implemented using that we can close this issue.

[maxwell04-wq]

I'm currently working on this issue. However, I am stuck at implementing the quantum optics system, especially the Hamiltonians for the systems to be implemented. Can you please share a reference paper, article, etc. for help in the implementation?

So far, I understand that this problem can be solved using the Jaynes-Cummings model (which is already implemented here.

[aarontrowbridge]

So what we're looking for is really just a function that accepts operators, specifically Hermitian operators, defined in QuantumOptics.jl, extracts the data and creates a QuantumSystem object, something like:

function QuantumSystem(H_drift::Operator, H_drives::Vector{Operator})
    ...
    return QuantumSystem(data_from_H_drift, data_from_H_drives)
end

[aarontrowbridge]

Ideally the operators will be sparse matrices, see this method in quantum optics for getting sparse representations