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Simulation of Hubbard model using the newly added Select / Prepare primitives is described in section V of https://arxiv.org/abs/1805.03662.
We should write a notebooks to:
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Implement the select and prepare unitaries tailored for hubbard model in a notebook. This would demonstrate users how they can use existing gate primitives (like
UnaryIteration,PrepareUniformSuperpositionetc.) and newly added API abstractions (likeGateWithRegistersprimitive) to implement their own optimized constructions for different chemistry use cases.- Note: The select / prepare gates in the notebooks should ideally just be
GateWithRegistersthat defined adecomposemethod. - If any gate primitives are missing, add them to the repo before implementing the notebook.
- Note: The select / prepare gates in the notebooks should ideally just be
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Figure out and implement utilities that would enable us to get the coefficients of the Hubbard model Hamiltonian using the indexing scheme described in the paper. @ncrubin Maybe you can look into this?
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