论文标题
纯量子状态的Ptychographic重建
Ptychographic reconstruction of pure quantum states
论文作者
论文摘要
PtyChography的量子类似物是一种强大的连贯衍射成像技术，是一种重建$ D $二维纯状态的简单方法。它依赖于以单个正顺序测量输入状态的部分重叠部分，并将结果馈送到迭代性相位回答算法以进行后处理。我们通过确定由光场的$ d $横向空间模式给出的纯态来提供了这种方法的概念证明。一组$ n $ rank-$ r $投影仪（在空间模式为基础上的对角线）用于生成输入的部分重叠部分，并且每个部分都以傅立叶变换为基础测量。对于$ d $ 32，我们使用$ n = 5 $和$ n = D $等级成功地重建了数百个随机状态 - $ \ lceil d/2 \ rceil $投影仪。概述了其他类型的光子空间模式的量子Ptychography的扩展。
The quantum analogue of ptychography, a powerful coherent diffractive imaging technique, is a simple method for reconstructing $d$-dimensional pure states. It relies on measuring partially overlapping parts of the input state in a single orthonormal basis and feeding the outcomes to an iterative phase-retrieval algorithm for postprocessing. We provide a proof of concept demonstration of this method by determining pure states given by superpositions of $d$ transverse spatial modes of an optical field. A set of $n$ rank-$r$ projectors, diagonal in the spatial mode basis, is used to generate $n$ partially overlapping parts of the input and each part is projectively measured in the Fourier transformed basis. For $d$ up to 32, we successfully reconstructed hundreds of random states using $n=5$ and $n=d$ rank-$\lceil d/2\rceil$ projectors. The extension of quantum ptychography for other types of photonic spatial modes is outlined.
