Quantum Permutation Matrices

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Main Author: Moritz, Weber
Format: Book
Language:English
Published: Springer 2023
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Online Access:https://dlib.phenikaa-uni.edu.vn/handle/PNK/7654
https://link.springer.com/article/10.1007/s11785-023-01335-x
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spelling oai:localhost:PNK-76542023-04-06T09:32:14Z Quantum Permutation Matrices Moritz, Weber quantum mathematics CC BY Quantum permutations arise in many aspects of modern “quantum mathematics”. However, the aim of this article is to detach these objects from their context and to give a friendly introduction purely within operator theory. We define quantum permutation matrices as matrices whose entries are operators on Hilbert spaces; they obey certain assumptions generalizing classical permutation matrices. We give a number of examples and we list many open problems. We then put them back in their original context and give an overview of their use in several branches of mathematics, such as quantum groups, quantum information theory, graph theory and free probability theory. 2023-04-06T08:12:21Z 2023-04-06T08:12:21Z 2023 Book https://dlib.phenikaa-uni.edu.vn/handle/PNK/7654 https://link.springer.com/article/10.1007/s11785-023-01335-x en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic quantum mathematics
spellingShingle quantum mathematics
Moritz, Weber
Quantum Permutation Matrices
description CC BY
format Book
author Moritz, Weber
author_facet Moritz, Weber
author_sort Moritz, Weber
title Quantum Permutation Matrices
title_short Quantum Permutation Matrices
title_full Quantum Permutation Matrices
title_fullStr Quantum Permutation Matrices
title_full_unstemmed Quantum Permutation Matrices
title_sort quantum permutation matrices
publisher Springer
publishDate 2023
url https://dlib.phenikaa-uni.edu.vn/handle/PNK/7654
https://link.springer.com/article/10.1007/s11785-023-01335-x
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