Simulating a ring-like Hubbard system with a quantum computer

Autor: Philippe Suchsland, Panagiotis Kl. Barkoutsos, Ivano Tavernelli, Mark H. Fischer, Titus Neupert
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Physical Review Research, Vol 4, Iss 1, p 013165 (2022)
Druh dokumentu: article
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.4.013165
Popis: We develop a workflow to use current quantum computing hardware for solving quantum many-body problems, using the example of the fermionic Hubbard model. Concretely, we study a four-site Hubbard ring that exhibits a transition from a product state to an intrinsically interacting ground state as hopping amplitudes are changed. We locate this transition and solve for the ground-state energy with high quantitative accuracy using a variational quantum algorithm executed on an IBM quantum computer. Our results are enabled by a variational ansatz that takes full advantage of the maximal set of commuting Z_{2} symmetries of the problem and a Lanczos-inspired error mitigation algorithm. They are a benchmark on the way to exploiting near term quantum simulators for quantum many-body problems.
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