We propose a protocol to realize quantum simulation and computation in spin systems with long-range interactions. Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions. This enables a mapping from a class of target Hamiltonians, defined by the graph structure of their interactions, to pulse sequences. We then obtain a recipe to implement arbitrary two-body Hamiltonians and universal quantum circuits. Performance guarantees are provided in terms of bounds on Trotter errors and total number of pulses. Additionally, Walsh pulse sequences are shown to be robust against various types of pulse errors, in contrast to previous hybrid digital-analog schemes of quantum computation. We demonstrate and numerically benchmark our protocol with examples from the dynamics of spin models, quantum error correction and quantum optimization algorithms.

中文翻译：

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自旋系统中的通用量子处理器，通过稳健的本地脉冲序列


我们提出了一种协议，可以在具有远程交互的自旋系统中实现量子模拟和计算。我们的方法依赖于单个自旋的局部寻址，外部字段由 Walsh 函数参数化。这样就可以从一类目标哈密顿量（由其交互的图形结构定义）映射到脉冲序列。然后，我们获得实现任意双体哈密顿量和通用量子电路的配方。性能保证是根据 Trotter 错误的边界和脉冲总数提供的。此外，与以前的量子计算混合数模方案相比，Walsh 脉冲序列被证明对各种类型的脉冲误差具有鲁棒性。我们用自旋模型动力学、量子纠错和量子优化算法的例子来演示和数值基准测试我们的协议。