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

Andrade, Bárbara; Davoudi, Zohreh; Graß, Tobias; Hafezi, Mohammad; Pagano, Guido; Seif, Alireza

doi:10.1088/2058-9565/ac5f5b

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

Journal Article · Fri Apr 08 00:00:00 EDT 2022 · Quantum Science and Technology

DOI:https://doi.org/10.1088/2058-9565/ac5f5b· OSTI ID:1979467

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ICFO-Institut de Ciencies Fotoniques, Castelldefels (Barcelona) (Spain)
University of Maryland, College Park, MD (United States)
Rice University, Houston, TX (United States)
University of Chicago, IL (United States)

Trapped-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.

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Research Organization:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Centre, Poland-Symfonia; NSF CAREER Award; US Army Research Office (ARO); US Department of the Navy, Office of Naval Research (ONR)

Grant/Contract Number:: SC0020271; SC0021143; 2016/20/W/ST4/00314; PHY-2144910; W911NF21P0003; N00014-20-1-2695; N00014-22-1-2282

OSTI ID:: 1979467

Journal Information:: Quantum Science and Technology, Vol. 7, Issue 3; ISSN 2058-9565

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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

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