论文标题
驱动系统的数字量子模拟限制的状态依赖性误差
State-dependent error bound for digital quantum simulation of driven systems
论文作者
论文摘要
数字量子模拟是量子计算机的有前途应用,其中使用量子门操作模拟量子动力学。已经提出了许多将量子动力学的时间进化运算符分解为可模拟量子门操作的技术,而这些方法会导致一些错误。为了评估这些错误,我们在最后一次得出了真正动力学和数字模拟动力学之间重叠的下限。我们的结果使我们能够确保获得的数字模拟动态如何接近未知的真实动态。我们还将形式主义扩展到嘈杂量子计算机上数字量子模拟的错误评估。
Digital quantum simulation is a promising application of quantum computers, where quantum dynamics is simulated by using quantum gate operations. Many techniques for decomposing a time-evolution operator of quantum dynamics into simulatable quantum gate operations have been proposed, while these methods cause some errors. To evaluate these errors, we derive a lower bound for overlap between true dynamics and digital simulated dynamics at the final time. Our result enables us to guarantee how obtained digital simulated dynamics is close to unknown true dynamics. We also extend our formalism to error evaluation of digital quantum simulation on noisy quantum computers.