论文标题
与随机编译的噪声相位估计
Noise-resilient phase estimation with randomized compiling
论文作者
论文摘要
我们为无控制相估计开发了一种误差方法。我们证明了一个定理，即在一阶校正下，只有Hermitian Kraus操作员的噪声通道不会改变单一操作员的阶段，因此，确定了相位估计的良性噪声类型。通过使用随机编译协议，我们可以将相位估计电路中的通用噪声转换为随机的Pauli噪声，从而满足我们定理的条件。因此，我们实现了没有任何量子资源开销的噪声相位估计。模拟实验表明，我们的方法可以将相位的估计误差显着减少两个数量级。我们的方法为在易耐故障量子计算机出现之前使用量子相估计铺平了道路。
We develop an error mitigation method for the control-free phase estimation. We prove a theorem that under the first-order correction, the noise channels with only Hermitian Kraus operators do not change the phases of a unitary operator, and therefore, the benign types of noise for phase estimation are identified. By using the randomized compiling protocol, we can convert the generic noise in the phase estimation circuits into stochastic Pauli noise, which satisfies the condition of our theorem. Thus we achieve a noise-resilient phase estimation without any quantum resource overhead. The simulated experiments show that our method can significantly reduce the estimation error of the phases by up to two orders of magnitude. Our method paves the way for the utilization of quantum phase estimation before the advent of fault-tolerant quantum computers.
