On mutually unbiased unitary bases in prime-dimensional Hilbert spaces

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	3844/71981
Uncontrolled Keywords:	Foundations of quantum mechanics, Mutually unbiased bases (MUBs), Mutually unbiased unitary bases (MUUBs)
Subjects:	Q Science > QA Mathematics > QA155 Algebra Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Physics
Depositing User:	Dr. Jesni Shamsul Shaari
Date Deposited:	07 May 2019 11:20
Last Modified:	01 Aug 2019 12:13
URI:	http://irep.iium.edu.my/id/eprint/71981

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