论文标题

最佳频率估计及其在量子点上的应用

Optimal frequency estimation and its application to quantum dots

论文作者

Gutierrez-Rubio, Angel, Stano, Peter, Loss, Daniel

论文摘要

我们解决了两级系统中频率估计的交互时间优化。目的是用最大的精度估算随机扰动。我们的方法对于用于定义最佳性的任何功绩都有效,并为方差和熵提供了说明。对于熵,我们阐明了与最大似然估计的连接。我们设计了有或没有反馈的新型估计协议。它们优于文献中给出的共同协议。我们将概率的自洽协议设计为无反馈的最佳估计。它可以改善当前的实验技术并在量子计算中提高相干时间。

We address the interaction-time optimization for frequency estimation in a two-level system. The goal is to estimate with maximum precision a stochastic perturbation. Our approach is valid for any figure of merit used to define optimality, and is illustrated for the variance and entropy. For the entropy, we clarify the connection to maximum-likelihood estimation. We devise novel estimation protocols with and without feedback. They outperform common protocols given in the literature. We design a probabilistic self-consistent protocol as an optimal estimation without feedback. It can improve current experimental techniques and boost coherence times in quantum computing.

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