We develop a method to synthesize a class of entangling multi-qubit gates for a quantum computing platform with fixed Ising-type interaction with all-to-all connectivity. The only requirement on the flexibility of the interaction is that it can be switched on and off for individual qubits. Our method yields a time-optimal implementation of the multi-qubit gates. We numerically demonstrate that the total multi-qubit gate time scales approximately linear in the number of qubits. Using this gate synthesis as a subroutine, we provide compilation strategies for important use cases: (i) we show that any Clifford circuit on $n$ qubits can be implemented using at most $2n$ multi-qubit gates without requiring ancilla qubits, (ii) we decompose the quantum Fourier transform in a similar fashion, (iii) we compile a simulation of molecular dynamics, and (iv) we propose a method for the compilation of diagonal unitaries with time-optimal multi-qubit gates, as a step towards general unitaries. As motivation, we provide a detailed discussion on a microwave controlled ion trap architecture with magnetic gradient induced coupling (MAGIC) for the generation of the Ising-type interactions.

中文翻译：

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时间最优多量子位门的合成和编译

我们开发了一种方法来为量子计算平台合成一类纠缠多量子位门，该平台具有固定的伊辛型交互和全连接性。对交互灵活性的唯一要求是它可以为单个量子位打开和关闭。我们的方法产生了多量子位门的时间最优实现。我们在数值上证明了总的多量子比特门时间尺度与量子比特数大致呈线性关系。将此门综合用作子例程，我们为重要用例提供编译策略：(i) 我们表明，$n$ 量子位上的任何 Clifford 电路都可以使用最多 $2n$ 多量子位门来实现，而无需辅助量子位，（ ii) 我们以类似的方式分解量子傅立叶变换，(iii) 我们编译分子动力学模拟，(iv) 我们提出了一种编译具有时间最优多量子位门的对角单一体的方法，作为向一般单一体迈出的一步。作为动机，我们详细讨论了具有磁梯度感应耦合 (MAGIC) 的微波控制离子阱架构，用于生成伊辛型相互作用。