Naimark-Type Results Using Frames

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...

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Main Authors: Raksha Sharma, Nikhil Khanna
Format: Article
Language:English
Published: Hindawi Limited 2024-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2024/8588361
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author Raksha Sharma
Nikhil Khanna
author_facet Raksha Sharma
Nikhil Khanna
author_sort Raksha Sharma
collection DOAJ
description 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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spelling doaj.art-2ebfe84594b94a70ad4e62af3d559eca2024-03-01T00:00:01ZengHindawi LimitedJournal of Function Spaces2314-88882024-01-01202410.1155/2024/8588361Naimark-Type Results Using FramesRaksha Sharma0Nikhil Khanna1Department of PhysicsDepartment of MathematicsIn 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.http://dx.doi.org/10.1155/2024/8588361
spellingShingle Raksha Sharma
Nikhil Khanna
Naimark-Type Results Using Frames
Journal of Function Spaces
title Naimark-Type Results Using Frames
title_full Naimark-Type Results Using Frames
title_fullStr Naimark-Type Results Using Frames
title_full_unstemmed Naimark-Type Results Using Frames
title_short Naimark-Type Results Using Frames
title_sort naimark type results using frames
url http://dx.doi.org/10.1155/2024/8588361
work_keys_str_mv AT rakshasharma naimarktyperesultsusingframes
AT nikhilkhanna naimarktyperesultsusingframes