Title: Compilation of selective pulse network on liquid-state nuclear magnetic resonance system Show Chinese title

Title: 液态核磁共振系统中选择性脉冲网络的编制

Abstract: In creating a large-scale quantum information processor, the ability to construct control pulses for implementing an arbitrary quantum circuit in a scalable manner is an important requirement. For liquid-state nuclear magnetic resonance (NMR) quantum computing, a circuit is generally realized through a sequence of selective soft pulses, in which various control imperfections exist and are to be corrected. In this work, we present a comprehensive analysis of the errors arisen in a selective pulse network by using the zeroth and first order average Hamiltonian theory. Effective correction rules are derived for adjusting important pulse parameters such as irradiation frequencies, rotational angles and transmission phases of the selective pulses to increase the control fidelity. Simulations show that applying our compilation procedure for a given circuit is efficient and can greatly reduce the error accumulation. Show Chinese abstract

Abstract: 在构建大规模量子信息处理器的过程中，以可扩展的方式构造用于实现任意量子电路的控制脉冲的能力是一项重要的要求。 对于液态核磁共振（NMR）量子计算，通常通过选择性软脉冲序列来实现电路，在这个过程中存在各种控制不完善之处，需要加以校正。 在这项工作中，我们利用零阶和一阶平均哈密顿量理论，对选择性脉冲网络中出现的误差进行了全面分析。 得出了有效的校正规则，用于调整选择性脉冲的重要参数，如照射频率、旋转角度和传输相位，以提高控制保真度。 模拟结果显示，对于给定的电路应用我们的编译程序是高效的，并且可以大大减少误差累积。