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Measurement-based time evolution for quantum simulation of fermionic systems

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dc.contributor.authorLee, Woo-Ramen
dc.contributor.authorQin, Zhangjieen
dc.contributor.authorRaussendorf, Roberten
dc.contributor.authorSela, Eranen
dc.contributor.authorScarola, V. W.en
dc.date.accessioned2022-10-27T16:50:03Zen
dc.date.available2022-10-27T16:50:03Zen
dc.date.issued2022-07-25en
dc.description.abstractQuantum simulation using time evolution in phase-estimation-based quantum algorithms can yield unbiased solutions of classically intractable models. However, 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, and graph states compactification is fully used. In this letter, we set the stage to allow advances in measurement precision to improve quantum simulation.en
dc.description.notesWe acknowledge support from ARO (W911NF2010013) . W.-R.L., Z.Q., and V.W.S. acknowledge support from AFOSR (FA9550-18-1-0505, FA9550-19-1-0272) .en
dc.description.sponsorshipARO [W911NF2010013]; AFOSR [FA9550-18-1-0505, FA9550-19-1-0272]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1103/PhysRevResearch.4.L032013en
dc.identifier.eissn2643-1564en
dc.identifier.issue3en
dc.identifier.otherL032013en
dc.identifier.urihttp://hdl.handle.net/10919/112299en
dc.identifier.volume4en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectentanglementen
dc.subjectcomputationen
dc.subjectalgorithmsen
dc.subjectphysicsen
dc.titleMeasurement-based time evolution for quantum simulation of fermionic systemsen
dc.title.serialPhysical Review Researchen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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