论文标题
积极的操作员值措施和密集定义的运算符框架
Positive operator-valued measures and densely-defined operator-valued frames
论文作者
论文摘要
在信号处理文献中，框架是希尔伯特空间中进行分析和重建的机制。相比之下，在量子理论中，积极的操作员值度量（POVM）分解了希尔伯特空间矢量，以计算计算测量概率。可以看出框架及其最常见的概括会引起POVM，但是每个合理的POVM是否都来自一种类型的框架？在本文中，我们使用ra子 - 尼克比型结果回答了这个问题。
In the signal-processing literature, a frame is a mechanism for performing analysis and reconstruction in a Hilbert space. By contrast, in quantum theory, a positive operator-valued measure (POVM) decomposes a Hilbert-space vector for the purpose of computing measurement probabilities. Frames and their most common generalizations can be seen to give rise to POVMs, but does every reasonable POVM arise from a type of frame? In this paper we answer this question using a Radon-Nikodym-type result.
