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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| Format: | Article |
| Language: | English English |
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2020
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| Online Access: | http://irep.iium.edu.my/77013/ http://irep.iium.edu.my/77013/7/77013_Entropic%20bounds%20for%20unitary%20testers_SCOPUS.pdf http://irep.iium.edu.my/77013/13/77013_Entropic%20bounds%20for%20unitary%20testers%20and%20mutually.pdf |
| _version_ | 1848788373554069504 |
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| author | Shamsul Shaari, Jesni Mancini, Stefano |
| author_facet | Shamsul Shaari, Jesni Mancini, Stefano |
| author_sort | Shamsul Shaari, Jesni |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T17:39:48Z |
| format | Article |
| id | iium-77013 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:39:48Z |
| publishDate | 2020 |
| publisher | ELSEVIER |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-770132020-11-12T06:44:21Z 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/77013/7/77013_Entropic%20bounds%20for%20unitary%20testers_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/77013/13/77013_Entropic%20bounds%20for%20unitary%20testers%20and%20mutually.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 |
| spellingShingle | QC Physics Shamsul Shaari, Jesni Mancini, Stefano Entropic bounds for unitary testers and mutually unbiased unitary bases |
| title | 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_short | Entropic bounds for unitary testers and mutually unbiased unitary bases |
| title_sort | entropic bounds for unitary testers and mutually unbiased unitary bases |
| topic | QC Physics |
| url | http://irep.iium.edu.my/77013/ http://irep.iium.edu.my/77013/ http://irep.iium.edu.my/77013/ http://irep.iium.edu.my/77013/7/77013_Entropic%20bounds%20for%20unitary%20testers_SCOPUS.pdf http://irep.iium.edu.my/77013/13/77013_Entropic%20bounds%20for%20unitary%20testers%20and%20mutually.pdf |