Mutually unbiased unitary bases of operators on d-dimensional hilbert space

Nasir, Rinie N. M. and Shamsul Shaari, Jesni and Mancini, Stefano (2020) Mutually unbiased unitary bases of operators on d-dimensional hilbert space. International Journal of Quantum Information, 18 (1). ISSN 0219-7499 E-ISSN 1793-6918

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Abstract

Analogous to the notion of mutually unbiased bases for Hilbert spaces, we consider mutually unbiased unitary bases (MUUBs) for the space of operators, Mðd; CÞ, acting on such Hilbert spaces. The notion of MUUB re°ects the equiprobable guesses of unitary operators in one basis of Mðd; CÞ when estimating a unitary operator in another. Though, for prime dimension d, the maximal number of MUUBs is known to be d2 1, there is no known recipe for constructing them, assuming they exist. However, one can always construct a minimum of three MUUBs, and the maximal number is approached for very large values of d. MUUBs can also exist for some d-dimensional subspace of Mðd; CÞ with the maximal number being d.

Item Type:	Article (Journal)
Uncontrolled Keywords:	Quantum information; mutually unbiased bases (MUBs); mutually unbiased unitary bases (MUUBs).
Subjects:	Q Science > Q Science (General) Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science
Depositing User:	Faizah Shahbudin
Date Deposited:	26 Jan 2021 16:14
Last Modified:	26 Jan 2021 16:14
URI:	http://irep.iium.edu.my/id/eprint/88047

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