论文标题
量子状态估计问题通过实验的最佳设计
Quantum-state estimation problem via optimal design of experiments
论文作者
论文摘要
在本文中，我们研究了实验最佳设计框架中的量子状态估计问题。我们首先找到了有关诸如A-，D-和E-Oftimal Designs之类的大众最优标准的任意量子模型的最佳设计。我们还提供包括这些标准在内的最佳标准的单参数家族。然后，我们将设计问题（Kiefer-Wolfowitz Theorem）扩展到一个Qubit系统中的经典结果，显示D-最佳设计等同于某种类型的A-Aftimal设计。接下来，我们根据效率比较和分析了几种最佳设计。我们明确地证明，对于其他最佳标准，针对某个标准的最佳设计可能非常降低。
In this paper, we study the quantum-state estimation problem in the framework of optimal design of experiments. We first find the optimal designs about arbitrary qubit models for popular optimality criteria such as A-, D-, and E-optimal designs. We also give the one-parameter family of optimality criteria which includes these criteria. We then extend a classical result in the design problem, the Kiefer-Wolfowitz theorem, to a qubit system showing the D-optimal design is equivalent to a certain type of the A-optimal design. We next compare and analyze several optimal designs based on the efficiency. We explicitly demonstrate that an optimal design for a certain criterion can be highly inefficient for other optimality criteria.
