Can we submodule gut so that it doesn't fill up the repo unnecessarily?

Compiler can't locate conan installation of eigen. We have a fix for this

It looks like something with the matrix exponential function doesn't return the proper type. Currently, using taylor series expansion instead.

Feature

Evaluate Matrix exponent to generate the propagators needed for simulation

Description

So one of the core parts of the math outline is to generate an array of matrices (propagators) that let us run the simulation. This is accomplished by a simple 3 step procedure:

1. Evaluate the given hamiltonian at some time t
2. Use our selected linear algebra library (Eigen at the time this issue was opened) to evaluate the matrix exponential of the result from step 1.
3. Append the result of 2 to an array that will exist in memory until it is used in the simulation.

Reference math.pdf for more details and feel free to comment any questions!

Feature

The main loop that needs to be evaluated for the simulation to advance in time

Description

Every time step, the state of the system needs to be updated by applying the next propagator matrix to the current state. Then, that propagator isn't needed anymore.

This step may need an additional check where we see if the state is still normalized. If the precision in evaluating the propagators is sufficient, this won't be necessary. However, if the simulation runs for a very long time, this may become necessary. Let's not address this until we can compare data from the library simulation to known solutions (i.e.: after we hit the first milestone)

This is a test

Feature

We need to code a base class for quantum systems. This will track the state of the quantum system and house all methods related to the system evolution/simulation.

Description

I think the best starting place here would be to emulate the system class already in the tests directory. See system.py for more details.

The current build pipeline in Godot is not working.

To do:

• Document entire pipeline
• Find bug