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

• URL: http://arxiv.org/abs/2502.13302v1
• Date: Tue, 18 Feb 2025 21:47:51 GMT
• Title: Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis
• Authors: Philip Richerme,
• Abstract summary: We show that such multi-mode' global drives generate universal Ising-type interactions with shorter overall runtimes than corresponding two-qubit gate implementations. We also show how this framework may be extended to efficiently generate $N-$body interactions between any subset $N$ of the ion qubits.
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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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