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arXiv · 2502.13302

Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis

Philip Richerme
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Abstract

We study the use of global drives with multiple frequency components to improve the efficiency of trapped ion quantum simulations and computations. We show that such `multi-mode' global drives, when combined with a linear number of single-qubit rotations, generate universal Ising-type interactions with shorter overall runtimes than corresponding two-qubit gate implementations. Further, we show how this framework may be extended to efficiently generate $n-$body interactions between any subset $n$ of the ion qubits. Finally, we apply these techniques to encode the Quantum Fourier Transform using quadratically-fewer entangling operations, with quadratically smaller runtime, compared with traditional approaches.

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Philip Richerme. 2025-02-18. Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis. https://doi.org/10.1088/2058-9565%2Fade560

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