Interplays between classical and quantum entanglement-assisted communication scenarios
Prepare-and-measure scenarios ( pm ), in their many forms, can be seen as the basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols—of which dense coding and random access codes are key examples—in a unified manner. In parti...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad0526 |
| _version_ | 1827773009998381056 |
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| author | Carlos Vieira Carlos de Gois Lucas Pollyceno Rafael Rabelo |
| author_facet | Carlos Vieira Carlos de Gois Lucas Pollyceno Rafael Rabelo |
| author_sort | Carlos Vieira |
| collection | DOAJ |
| description | Prepare-and-measure scenarios ( pm ), in their many forms, can be seen as the basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols—of which dense coding and random access codes are key examples—in a unified manner. In particular, the use of entanglement as a resource in pm scenarios have only recently started to be systematically investigated, and many crucial questions remain open. In this work, we explore such scenarios and provide answers to some seminal questions. More specifically, we show that, in scenarios where entanglement is a free resource, quantum messages are equivalent to classical ones with twice the capacity. We also prove that, in such scenarios, it is always advantageous for the parties to share entangled states of dimension greater than the transmitted message. Finally, we show that unsteerable states cannot provide advantages in classical communication tasks, thus proving that not all entangled states are useful resources in these scenarios. |
| first_indexed | 2024-03-11T13:16:54Z |
| format | Article |
| id | doaj.art-c4051605fda1423286ce40c2b5093ced |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-11T13:16:54Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-c4051605fda1423286ce40c2b5093ced2023-11-03T11:56:09ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251111300410.1088/1367-2630/ad0526Interplays between classical and quantum entanglement-assisted communication scenariosCarlos Vieira0https://orcid.org/0000-0001-5007-2991Carlos de Gois1https://orcid.org/0000-0001-9377-4168Lucas Pollyceno2https://orcid.org/0000-0002-9847-1753Rafael Rabelo3Departamento de Matemática Aplicada, Instituto de Matemática, Estatística e Computação Cientıfica, Universidade Estadual de Campinas , 13083-859 Campinas, São Paulo, BrazilNaturwissenschaftlich-Technische Fakultät, Universität Siegen , Walter-Flex-Straß e 3, 57068 Siegen, GermanyInstituto de Física Gleb Wataghin, Universidade Estadual de Campinas , 130830-859 Campinas, BrazilInstituto de Física Gleb Wataghin, Universidade Estadual de Campinas , 130830-859 Campinas, BrazilPrepare-and-measure scenarios ( pm ), in their many forms, can be seen as the basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols—of which dense coding and random access codes are key examples—in a unified manner. In particular, the use of entanglement as a resource in pm scenarios have only recently started to be systematically investigated, and many crucial questions remain open. In this work, we explore such scenarios and provide answers to some seminal questions. More specifically, we show that, in scenarios where entanglement is a free resource, quantum messages are equivalent to classical ones with twice the capacity. We also prove that, in such scenarios, it is always advantageous for the parties to share entangled states of dimension greater than the transmitted message. Finally, we show that unsteerable states cannot provide advantages in classical communication tasks, thus proving that not all entangled states are useful resources in these scenarios.https://doi.org/10.1088/1367-2630/ad0526quantum communicationentanglementcorrelations |
| spellingShingle | Carlos Vieira Carlos de Gois Lucas Pollyceno Rafael Rabelo Interplays between classical and quantum entanglement-assisted communication scenarios New Journal of Physics quantum communication entanglement correlations |
| title | Interplays between classical and quantum entanglement-assisted communication scenarios |
| title_full | Interplays between classical and quantum entanglement-assisted communication scenarios |
| title_fullStr | Interplays between classical and quantum entanglement-assisted communication scenarios |
| title_full_unstemmed | Interplays between classical and quantum entanglement-assisted communication scenarios |
| title_short | Interplays between classical and quantum entanglement-assisted communication scenarios |
| title_sort | interplays between classical and quantum entanglement assisted communication scenarios |
| topic | quantum communication entanglement correlations |
| url | https://doi.org/10.1088/1367-2630/ad0526 |
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