@article{
 title = {Measurement-based time evolution for quantum simulation of fermionic systems},
 type = {article},
 year = {2022},
 pages = {L032013},
 volume = {4},
 websites = {https://link.aps.org/doi/10.1103/PhysRevResearch.4.L032013},
 month = {7},
 day = {25},
 id = {38985ae8-b868-3feb-8b82-6e1f7f56044c},
 created = {2021-10-29T14:35:49.146Z},
 file_attached = {true},
 profile_id = {004c1ae0-7ed4-35f3-b39b-28665b4ab9a2},
 last_modified = {2022-08-29T18:17:34.088Z},
 read = {true},
 starred = {false},
 authored = {true},
 confirmed = {true},
 hidden = {false},
 citation_key = {Lee2022},
 private_publication = {false},
 abstract = {Quantum simulation using time evolution in phase estimation-based quantum algorithms can yield unbiased solutions of classically intractable models. But long runtimes open such algorithms to decoherence. We show how measurement-based quantum simulation uses effective time evolution via measurement to allow runtime advantages over conventional circuit-based algorithms that use real-time evolution with quantum gates. We construct a hybrid algorithm to find energy eigenvalues in fermionic models using only measurements on graph states. We apply the algorithm to the Kitaev and Hubbard chains. Resource estimates show a runtime advantage if measurements can be performed faster than gates. Our work sets the stage to allow advances in measurement precision to improve quantum simulation.},
 bibtype = {article},
 author = {Lee, Woo-Ram and Qin, Zhangjie and Raussendorf, Robert and Sela, Eran and Scarola, V. W.},
 doi = {10.1103/PhysRevResearch.4.L032013},
 journal = {Physical Review Research},
 number = {3}
}

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