Naimark-Type Results Using Frames

IF 1.9 3区数学 Q1 MATHEMATICS

Journal of Function Spaces Pub Date : 2024-02-22 DOI:10.1155/2024/8588361

Raksha Sharma, Nikhil Khanna

引用次数: 0

Abstract

In this article, a modified version of frame called frame associated with a sequence of scalars (FASS) is defined. This modified version of frame is used to study quantum measurements. Also, using FASS, some Naimark-type results are obtained. Finally, a formula to give the average probability of an incorrect measurement using FASS is obtained.

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使用帧的奈马克式结果

本文定义了一种修正版框架，称为与标量序列相关的框架（FASS）。这个修正版框架被用来研究量子测量。此外，利用 FASS 还可以得到一些奈马克类型的结果。最后，我们还得到了使用 FASS 得出错误测量平均概率的公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Function Spaces MATHEMATICS, APPLIEDMATHEMATICS -MATHEMATICS

CiteScore

4.10

自引率

10.50%

发文量

451

审稿时长

15 weeks

期刊介绍： Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.