论文标题
格林在嘈杂量子计算机上功能的超级分辨率
Super-resolution of Green's functions on noisy quantum computers
论文作者
论文摘要
使用有效的哈密顿进化程序的量子计算机具有模拟Green经典量量子系统功能的潜力。然而，近期量子处理器的破坏性误差禁止大量进化时间，从而限制了频谱分辨率。在这项工作中，我们表明原子规范最小化是一种众所周知的超分辨率技术，可以显着降低最小电路深度以获得准确的光谱重建。我们通过从IBM量子计算机上的绿色功能的测量中恢复杂质模型的光谱函数来证明这一技术。原子规范最小化的重建误差比使用更标准的信号处理方法小的数量级。超分辨率方法可以促进模拟大型且以前未开发的量子系统，并且可能构成一个有用的非变化工具，可以在近乎近的未来建立量子优势。
Quantum computers, using efficient Hamiltonian evolution routines, have the potential to simulate Green's functions of classically-intractable quantum systems. However, the decoherence errors of near-term quantum processors prohibit large evolution times, posing limits to the spectrum resolution. In this work, we show that Atomic Norm Minimization, a well-known super-resolution technique, can significantly reduce the minimum circuit depth for accurate spectrum reconstruction. We demonstrate this technique by recovering the spectral function of an impurity model from measurements of its Green's function on an IBM quantum computer. The reconstruction error with the Atomic Norm Minimization is one order of magnitude smaller than with more standard signal processing methods. Super-resolution methods can facilitate the simulation of large and previously unexplored quantum systems, and may constitute a useful non-variational tool to establish a quantum advantage in a nearer future.
