Engineering an effective three-spin Hamiltonian in trapped-ion systems for applications in quantum simulation

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dc.citation.articleNumber034001en_US
dc.citation.issueNumber3en_US
dc.citation.journalTitleQuantum Science and Technologyen_US
dc.citation.volumeNumber7en_US
dc.contributor.authorAndrade, Bárbaraen_US
dc.contributor.authorDavoudi, Zohrehen_US
dc.contributor.authorGraß, Tobiasen_US
dc.contributor.authorHafezi, Mohammaden_US
dc.contributor.authorPagano, Guidoen_US
dc.contributor.authorSeif, Alirezaen_US
dc.date.accessioned2022-05-25T17:37:42Zen_US
dc.date.available2022-05-25T17:37:42Zen_US
dc.date.issued2022en_US
dc.description.abstractTrapped-ion quantum simulators, in analog and digital modes, are considered a primary candidate to achieve quantum advantage in quantum simulation and quantum computation. The underlying controlled ion–laser interactions induce all-to-all two-spin interactions via the collective modes of motion through Cirac–Zoller or Mølmer–Sørensen schemes, leading to effective two-spin Hamiltonians, as well as two-qubit entangling gates. In this work, the Mølmer–Sørensen scheme is extended to induce three-spin interactions via tailored first- and second-order spin–motion couplings. The scheme enables engineering single-, two-, and three-spin interactions, and can be tuned via an enhanced protocol to simulate purely three-spin dynamics. Analytical results for the effective evolution are presented, along with detailed numerical simulations of the full dynamics to support the accuracy and feasibility of the proposed scheme for near-term applications. With a focus on quantum simulation, the advantage of a direct analog implementation of three-spin dynamics is demonstrated via the example of matter-gauge interactions in the U(1) lattice gauge theory within the quantum link model. The mapping of degrees of freedom and strategies for scaling the three-spin scheme to larger systems, are detailed, along with a discussion of the expected outcome of the simulation of the quantum link model given realistic fidelities in the upcoming experiments. The applications of the three-spin scheme go beyond the lattice gauge theory example studied here and include studies of static and dynamical phase diagrams of strongly interacting condensed-matter systems modeled by two- and three-spin Hamiltonians.en_US
dc.identifier.citationAndrade, Bárbara, Davoudi, Zohreh, Graß, Tobias, et al.. "Engineering an effective three-spin Hamiltonian in trapped-ion systems for applications in quantum simulation." <i>Quantum Science and Technology,</i> 7, no. 3 (2022) IOP Publishing: https://doi.org/10.1088/2058-9565/ac5f5b.en_US
dc.identifier.digitalAndrade_2022_Quantum_Sci_Technol_7_034001en_US
dc.identifier.doihttps://doi.org/10.1088/2058-9565/ac5f5ben_US
dc.identifier.urihttps://hdl.handle.net/1911/112414en_US
dc.language.isoengen_US
dc.publisherIOP Publishingen_US
dc.rightsOriginal content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleEngineering an effective three-spin Hamiltonian in trapped-ion systems for applications in quantum simulationen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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