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arXiv · 2506.09371

Efficient Implementation of a Quantum Algorithm with a Trapped Ion Qudit

Xiaoyang Shi·Jasmine Sinanan-Singh·Timothy J. Burke·John Chiaverini·Isaac L. Chuang
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Abstract

Demonstration of quantum advantage remains challenging due to the increased overhead of controlling large quantum systems. While significant effort has been devoted to qubit-based devices, qudits ($d$-level systems) offer potential advantages in both hardware efficiency and algorithmic performance. In this paper, we demonstrate multi-tone control of a single trapped ion qudit of up to eight levels, as well as the first implementation of Grover's search algorithm on a qudit with dimension five and eight, achieving operation fidelity of 96.8(3)$\%$ and 69(6)$\%$, respectively, which correspond to 99.9(1)\% and 97.1(3) \% squared statistical overlap (SSO), respectively, with the expected result for a single iteration of the Grover search algorithm. The performance is competitive when compared to qubit-based systems; moreover, the sequence requires only $\mathcal{O}(d)$ single qudit gates and no entangling gates. This work highlights the potential of using qudits for efficient implementations of quantum algorithms.

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Xiaoyang Shi, Jasmine Sinanan-Singh, Timothy J. Burke, John Chiaverini, Isaac L. Chuang. 2025-06-11. Efficient Implementation of a Quantum Algorithm with a Trapped Ion Qudit. https://arxiv.org/abs/2506.09371

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