Simulating chemistry with fermionic optical superlattices

We show that quantum-number-preserving ansatzes for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Using native Hubbard dynamics, trial ground states of molecular Hamiltonians can be prepared and their molecular energies measured...

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Main Authors: Gkritsis, Fotios (Author) , Dux, Daniel (Author) , Zhang, Jin (Author) , Jain, Naman (Author) , Gogolin, Christian (Author) , Preiss, Philipp M. (Author)
Format: Article (Journal)
Language:English
Published: 24 January 2025
In: PRX quantum
Year: 2025, Volume: 6, Pages: 1-15
ISSN:2691-3399
DOI:10.1103/PRXQuantum.6.010318
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.1103/PRXQuantum.6.010318
Verlag, kostenfrei, Volltext: https://link.aps.org/doi/10.1103/PRXQuantum.6.010318
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Author Notes:Fotios Gkritsis, Daniel Dux, Jin Zhang, Naman Jain, Christian Gogolin, and Philipp M. Preiss

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520 |a We show that quantum-number-preserving ansatzes for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Using native Hubbard dynamics, trial ground states of molecular Hamiltonians can be prepared and their molecular energies measured in the lattice. The scheme requires local control over interactions and chemical potentials and global control over tunneling dynamics, but foregoes the need for optical tweezers, shuttling operations, or long-range interactions. We describe a complete compilation pipeline from the molecular Hamiltonian to the sequence of lattice operations, thus providing a concrete link between quantum simulation and chemistry. Our work enables the application of recent quantum algorithmic techniques, such as double factorization and quantum tailored coupled cluster, to present-day fermionic optical lattice systems with significant improvements in the required number of experimental repetitions. We provide detailed quantum resource estimates for small nontrivial hardware experiments. 
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