论文标题
实验自适应量子状态层析成像基于等级的转换
Experimental adaptive quantum state tomography based on rank-preserving transformations
论文作者
论文摘要
量子断层扫描是使用来自多个测量结果的数据进行量子状态重建的过程。量子断层算法的一个基本目标是找到测量值，以最大程度地了解有关通过测量获得的未知量子状态的有用信息。最近提出的量子断层扫描方法之一是基于保留等级转换的算法。主要思想是通过一种方式来改变基本的测量集，以提供相当于测量最大混合状态的情况。只要与其他状态相比，完全混合状态的断层扫描具有最快的收敛性，预计该方法将非常准确。我们通过另一种自适应方法介绍了保留等级断层扫描的数值和实验比较，其中包括估计量本egenbasis中的测量以及随机基础层析成像。我们还研究了使用转换统一的自由和测量集互补的转换式互补的方法来提高平行范围转换方法的效率。
Quantum tomography is a process of quantum state reconstruction using data from multiple measurements. An essential goal for a quantum tomography algorithm is to find measurements that will maximize the useful information about an unknown quantum state obtained through measurements. One of the recently proposed methods of quantum tomography is the algorithm based on rank-preserving transformations. The main idea is to transform a basic measurement set in a way to provide a situation that is equivalent to measuring the maximally mixed state. As long as tomography of a fully mixed state has the fastest convergence comparing to other states, this method is expected to be highly accurate. We present numerical and experimental comparisons of rank-preserving tomography with another adaptive method, which includes measurements in the estimator eigenbasis and with random-basis tomography. We also study ways to improve the efficiency of the rank-preserving transformations method using transformation unitary freedom and measurement set complementation.
