论文标题
使用Rydberg原子的错误量子量子信号处理
Error-Robust Quantum Signal Processing using Rydberg Atoms
论文作者
论文摘要
Rydberg原子阵列最近成为量子模拟和量子信息处理的最有希望的平台之一。但是，与其他实验平台一样，Rydberg Atom阵列在实现量子算法中的长期成功取决于它们对门引起的错误的稳健性。在这里，我们表明，对于基于Rydberg Atom Dynamics的理想化偏置错误模型，可以使QSP协议的实现成为误差，从某种意义上说，GATE诱导的误差概率的渐近缩放率比门复杂性较慢。此外，使用文献中报道的实验参数，我们表明，可以以恒定的误差概率来实现最多一百个大门的QSP迭代。为了展示我们的方法，我们提供了一个具体的蓝图，以在Rydberg Atom平台上实现基于QSP的近乎最佳的汉密尔顿模拟。与实施四阶产品形式的协议相比，我们的协议基本上改善了栅极诱导的错误的缩放和开销。
Rydberg atom arrays have recently emerged as one of the most promising platforms for quantum simulation and quantum information processing. However, as is the case for other experimental platforms, the longer-term success of the Rydberg atom arrays in implementing quantum algorithms depends crucially on their robustness to gate-induced errors. Here we show that, for an idealized biased error model based on Rydberg atom dynamics, the implementation of QSP protocols can be made error-robust, in the sense that the asymptotic scaling of the gate-induced error probability is slower than that of gate complexity. Moreover, using experimental parameters reported in the literature, we show that QSP iterates made out of up to a hundred gates can be implemented with constant error probability. To showcase our approach, we provide a concrete blueprint to implement QSP-based near-optimal Hamiltonian simulation on the Rydberg atom platform. Our protocol substantially improves both the scaling and the overhead of gate-induced errors in comparison to those protocols that implement a fourth-order product-formula.
