On mutually unbiased unitary bases in prime-dimensional Hilbert spaces

Akin to the idea of complete sets of mutually unbiased bases for prime-dimensional Hilbert spaces, Hd, we study its analogue for a d-dimensional subspace of M(d,C), i.e. mutually unbiased unitary bases (MUUBs) comprising of unitary operators. We note an obvious isomorphism between the vector spaces...

Full description

Bibliographic Details
Main Authors:	Nasir, Rinie N. M., Shamsul Shaari, Jesni, Mancini, Stefano
Format:	Article
Language:	English English English
Published:	Springer US 2019
Subjects:	QA155 Algebra QC Physics
Online Access:	http://irep.iium.edu.my/71981/ http://irep.iium.edu.my/71981/ http://irep.iium.edu.my/71981/ http://irep.iium.edu.my/71981/1/71981_On%20mutually%20unbiased%20unitary.pdf http://irep.iium.edu.my/71981/7/71981%20On%20mutually%20unbiased%20unitary%20bases%20%20SCOPUS.pdf http://irep.iium.edu.my/71981/13/71981_On%20mutually%20unbiased%20unitary%20bases%20in%20prime-dimensional%20Hilbert%20spaces_wos.pdf

id	iium-71981
recordtype	eprints
spelling	iium-719812019-08-01T04:13:06Z http://irep.iium.edu.my/71981/ On mutually unbiased unitary bases in prime-dimensional Hilbert spaces Nasir, Rinie N. M. Shamsul Shaari, Jesni Mancini, Stefano QA155 Algebra QC Physics Akin to the idea of complete sets of mutually unbiased bases for prime-dimensional Hilbert spaces, Hd, we study its analogue for a d-dimensional subspace of M(d,C), i.e. mutually unbiased unitary bases (MUUBs) comprising of unitary operators. We note an obvious isomorphism between the vector spaces and beyond that, we define a relevant monoid structure for Hd isomorphic to one for the subspace of M(d,C). This provides us not only with the maximal number of such MUUBs, but also a recipe for its construction. Springer US 2019-04-29 Article PeerReviewed application/pdf en http://irep.iium.edu.my/71981/1/71981_On%20mutually%20unbiased%20unitary.pdf application/pdf en http://irep.iium.edu.my/71981/7/71981%20On%20mutually%20unbiased%20unitary%20bases%20%20SCOPUS.pdf application/pdf en http://irep.iium.edu.my/71981/13/71981_On%20mutually%20unbiased%20unitary%20bases%20in%20prime-dimensional%20Hilbert%20spaces_wos.pdf Nasir, Rinie N. M. and Shamsul Shaari, Jesni and Mancini, Stefano (2019) On mutually unbiased unitary bases in prime-dimensional Hilbert spaces. Quantum Information Processing, 18. pp. 1-16. ISSN 1570-0755 E-ISSN 1573-1332 https://link.springer.com/article/10.1007/s11128-019-2298-2 10.1007/s11128-019-2298-2
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	QA155 Algebra QC Physics
spellingShingle	QA155 Algebra QC Physics Nasir, Rinie N. M. Shamsul Shaari, Jesni Mancini, Stefano On mutually unbiased unitary bases in prime-dimensional Hilbert spaces
description	Akin to the idea of complete sets of mutually unbiased bases for prime-dimensional Hilbert spaces, Hd, we study its analogue for a d-dimensional subspace of M(d,C), i.e. mutually unbiased unitary bases (MUUBs) comprising of unitary operators. We note an obvious isomorphism between the vector spaces and beyond that, we define a relevant monoid structure for Hd isomorphic to one for the subspace of M(d,C). This provides us not only with the maximal number of such MUUBs, but also a recipe for its construction.
format	Article
author	Nasir, Rinie N. M. Shamsul Shaari, Jesni Mancini, Stefano
author_facet	Nasir, Rinie N. M. Shamsul Shaari, Jesni Mancini, Stefano
author_sort	Nasir, Rinie N. M.
title	On mutually unbiased unitary bases in prime-dimensional Hilbert spaces
title_short	On mutually unbiased unitary bases in prime-dimensional Hilbert spaces
title_full	On mutually unbiased unitary bases in prime-dimensional Hilbert spaces
title_fullStr	On mutually unbiased unitary bases in prime-dimensional Hilbert spaces
title_full_unstemmed	On mutually unbiased unitary bases in prime-dimensional Hilbert spaces
title_sort	on mutually unbiased unitary bases in prime-dimensional hilbert spaces
publisher	Springer US
publishDate	2019
url	http://irep.iium.edu.my/71981/ http://irep.iium.edu.my/71981/ http://irep.iium.edu.my/71981/ http://irep.iium.edu.my/71981/1/71981_On%20mutually%20unbiased%20unitary.pdf http://irep.iium.edu.my/71981/7/71981%20On%20mutually%20unbiased%20unitary%20bases%20%20SCOPUS.pdf http://irep.iium.edu.my/71981/13/71981_On%20mutually%20unbiased%20unitary%20bases%20in%20prime-dimensional%20Hilbert%20spaces_wos.pdf
first_indexed	2023-09-18T21:42:04Z
last_indexed	2023-09-18T21:42:04Z
_version_	1777413206050865152

On mutually unbiased unitary bases in prime-dimensional Hilbert spaces

Similar Items