Naimark-Type Results Using Frames-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Naimark-Type Results Using Frames

Published:2024-02-22 Issue: Volume:2024 Page:1-6
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Sharma Raksha¹,Khanna Nikhil²^ORCID

Affiliation:

1. Department of Physics, Kirori Mal College, University of Delhi, Delhi 110007, India

2. Department of Mathematics, College of Science, Sultan Qaboos University, P.O. Box 36, P. C. 123, Al-Khod, Muscat, Oman

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.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/journals/jfs/2024/8588361.pdf

Reference23 articles.

1. A class of nonharmonic Fourier series;R. J. Duffin;Transactions of the American Mathematical Society,1952

2. Painless nonorthogonal expansions

3. An Introduction to Frames and Riesz Bases

4. Some properties of operator-valued frames

5. A Basis Theory Primer

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP