Entropic bounds for unitary testers and mutually unbiased unitary bases

Entropic bounds for unitary testers and mutually unbiased unitary bases

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...

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Main Authors: Shamsul Shaari, Jesni, Mancini, Stefano
Format: Article
Language:English
Published: ELSEVIER 2020
Subjects:
QC Physics
Online Access:http://irep.iium.edu.my/77013/
http://irep.iium.edu.my/77013/
http://irep.iium.edu.my/77013/
http://irep.iium.edu.my/77013/1/1-s2.0-S0003491619302982-main.pdf
id iium-77013
recordtype eprints
spelling iium-770132020-01-02T09:23:15Z http://irep.iium.edu.my/77013/ Entropic bounds for unitary testers and mutually unbiased unitary bases Shamsul Shaari, Jesni Mancini, Stefano QC Physics 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. ELSEVIER 2020-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/77013/1/1-s2.0-S0003491619302982-main.pdf 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 https://www.sciencedirect.com/science/article/abs/pii/S0003491619302982 10.1016/j.aop.2019.168043
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QC Physics
spellingShingle QC Physics
Shamsul Shaari, Jesni
Mancini, Stefano
Entropic bounds for unitary testers and mutually unbiased unitary bases
description 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.
format Article
author Shamsul Shaari, Jesni
Mancini, Stefano
author_facet Shamsul Shaari, Jesni
Mancini, Stefano
author_sort Shamsul Shaari, Jesni
title Entropic bounds for unitary testers and mutually unbiased unitary bases
title_short Entropic bounds for unitary testers and mutually unbiased unitary bases
title_full Entropic bounds for unitary testers and mutually unbiased unitary bases
title_fullStr Entropic bounds for unitary testers and mutually unbiased unitary bases
title_full_unstemmed Entropic bounds for unitary testers and mutually unbiased unitary bases
title_sort entropic bounds for unitary testers and mutually unbiased unitary bases
publisher ELSEVIER
publishDate 2020
url http://irep.iium.edu.my/77013/
http://irep.iium.edu.my/77013/
http://irep.iium.edu.my/77013/
http://irep.iium.edu.my/77013/1/1-s2.0-S0003491619302982-main.pdf
first_indexed 2023-09-18T21:48:43Z
last_indexed 2023-09-18T21:48:43Z
_version_ 1777413624858411008

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