GQE demo using Pennylane

[JosephRRB]

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Title: Generative quantum eigensolver demo using Pennylane

Summary: We use Pennylane to generate a static molecular dataset and calculate the corresponding energies to train a small GPT model as described by https://arxiv.org/abs/2401.09253. We show that as training progresses, the GPT model generates operator sequences whose predicted energies more accurately resembles the true energies calculated by Pennylane. In addition, the sampling process is shown to better generate the ground state for better performing models.

• Story ticket: https://app.shortcut.com/xanaduai/story/64095/contribute-gqe-demo-as-a-pennylane-demo

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[github-actions[bot]]

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[josh146]

Hey @JosephRRB! You'll want to rename the tutorial file, to remove the tutorial_ part of the filename. this instructs to our build system not to try and execute it.

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• Pull Request ID: 1119
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