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arXiv · 2302.02966

Universal quantum computing with qubits embedded in trapped-ion qudits

Anastasiia S. Nikolaeva·Evgeniy O. Kiktenko·Aleksey K. Fedorov
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Abstract

Recent developments in qudit-based quantum computing, in particular with trapped ions, open interesting possibilities for scaling quantum processors without increasing the number of physical information carriers. In this work, we propose a method for compiling quantum circuits in the case, where qubits are embedded into qudits of experimentally relevant dimensionalities, $d=3,\ldots,8$, for the trapped-ion platform. In particular, we demonstrate how single-qubit, two-qubit, and multiqubit gates can be realized using single-qudit operations and the Molmer-Sorensen (MS) gate as a basic two-particle operation. We expect that our findings are directly applicable to trapped-ion-based qudit processors.

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Anastasiia S. Nikolaeva, Evgeniy O. Kiktenko, Aleksey K. Fedorov. 2023-02-06. Universal quantum computing with qubits embedded in trapped-ion qudits. https://doi.org/10.1103/physreva.109.022615

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