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Entropic bounds for unitary testers and mutually unbiased unitary bases

Shamsul Shaari, Jesni and Mancini, Stefano (2020) Entropic bounds for unitary testers and mutually unbiased unitary bases. Annals of Physics, 412. pp. 1-11. ISSN 0003-4916

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Abstract

We define the entropic bounds, i.e. minimal uncertainty for pairs of unitary testers in distinguishing between unitary transforma- tions not unlike the well known entropic bounds for observables. We show that in the case of specific sets of testers which pairwise saturate the trivial zero bound, the testers are all equivalent in the sense their statistics are the same. On the other hand, when maximal bounds are saturated by such sets of testers, the unitary operators would form unitary bases which are mutually unbiased. This resembles very much the role of mutually unbiased bases in maximising the entropic bounds for observables. We show how such a bound can be useful in certain quantum cryptographic protocols.

Item Type: Article (Journal)
Additional Information: 3844/77013
Uncontrolled Keywords: Entropic bound Tester PPOVM MUUB
Subjects: Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Physics
Depositing User: Dr. Jesni Shamsul Shaari
Date Deposited: 02 Jan 2020 17:23
Last Modified: 09 Jul 2020 15:28
URI: http://irep.iium.edu.my/id/eprint/77013

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