Measurement-based time evolution for quantum simulation of fermionic systems. Lee, W., Qin, Z., Raussendorf, R., Sela, E., & Scarola, V., W. Physical Review Research, 4(3):L032013, 7, 2022. Paper Website doi abstract bibtex 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.
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title = {Measurement-based time evolution for quantum simulation of fermionic systems},
type = {article},
year = {2022},
pages = {L032013},
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created = {2021-10-29T14:35:49.146Z},
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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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