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arXiv · 2310.07859

Interaction graph engineering in trapped-ion quantum simulators with global drives

Antonis Kyprianidis·A. J. Rasmusson·Philip Richerme
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Abstract

Trapped-ion quantum simulators have demonstrated a long history of studying the physics of interacting spin-lattice systems using globally addressed entangling operations. Here, we seek to broaden and delimit the classes of effective spin-spin interactions achievable using exclusively global driving fields. We find that new categories of interaction graphs become achievable with perfect or near-perfect theoretical fidelity by tailoring the coupling to each vibrational mode of the ion crystal, or by shaping the trapping potential to include specific anharmonic terms. We also derive a rigorous test to determine whether a desired interaction graph is accessible using only globally driven fields. These tools broaden the reach of trapped-ion quantum simulators so that they may more easily address open questions in materials science and quantum chemistry.

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Antonis Kyprianidis, A. J. Rasmusson, Philip Richerme. 2023-10-11. Interaction graph engineering in trapped-ion quantum simulators with global drives. https://doi.org/10.1088/1367-2630%2Fad264d

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