Correlations in Quantum Network Topologies Created with Cloning
With progress in quantum technologies, the field of quantum networks has emerged as an important area of research. In the last few years, there has been substantial progress in understanding the correlations present in quantum networks. In this article, we study cloning as a prospective method to ge...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/11/2440 |
| _version_ | 1797597175469834240 |
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| author | Manish Kumar Shukla Minyi Huang Indranil Chakrabarty Junde Wu |
| author_facet | Manish Kumar Shukla Minyi Huang Indranil Chakrabarty Junde Wu |
| author_sort | Manish Kumar Shukla |
| collection | DOAJ |
| description | With progress in quantum technologies, the field of quantum networks has emerged as an important area of research. In the last few years, there has been substantial progress in understanding the correlations present in quantum networks. In this article, we study cloning as a prospective method to generate three party quantum networks which will help us to create larger networks. We analyze various quantum network topologies that can be created using cloning transformations. This would be useful in situations wherever the availability of entangled pairs is limited. In addition to that, we focus on the problem of distinguishing networks created by cloning from those that are created by distributing independently generated entangled pairs. We find that there are several states that cannot be distinguished using the Finner inequalities in the standard way. For such states, we propose an extension to the existing Finner inequality for triangle networks by further increasing the number of observers from three to four or six depending on the network topology. This takes into account the additional correlations that exist in the case of cloned networks. In the last part of the article, we use tripartite mutual information to distinguish cloned networks from networks created by independent sources and further use squashed entanglement as a measure to quantify the amount of dependence in the cloned networks. |
| first_indexed | 2024-03-11T03:03:03Z |
| format | Article |
| id | doaj.art-dd2f5c077aa84f20bd47c0f6d3b93a30 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T03:03:03Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-dd2f5c077aa84f20bd47c0f6d3b93a302023-11-18T08:12:03ZengMDPI AGMathematics2227-73902023-05-011111244010.3390/math11112440Correlations in Quantum Network Topologies Created with CloningManish Kumar Shukla0Minyi Huang1Indranil Chakrabarty2Junde Wu3Independent Researcher, Eden Au Lac Apartment, Indiranagar, Bangalore 560038, IndiaDepartment of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaCenter for Security, Theory and Algorithmic Research, International Institute of Information Technology-Hyderabad, Gachibowli, Telangana 500032, IndiaSchool of Mathematical Sciences, Zhejiang University, Hangzhou 310027, ChinaWith progress in quantum technologies, the field of quantum networks has emerged as an important area of research. In the last few years, there has been substantial progress in understanding the correlations present in quantum networks. In this article, we study cloning as a prospective method to generate three party quantum networks which will help us to create larger networks. We analyze various quantum network topologies that can be created using cloning transformations. This would be useful in situations wherever the availability of entangled pairs is limited. In addition to that, we focus on the problem of distinguishing networks created by cloning from those that are created by distributing independently generated entangled pairs. We find that there are several states that cannot be distinguished using the Finner inequalities in the standard way. For such states, we propose an extension to the existing Finner inequality for triangle networks by further increasing the number of observers from three to four or six depending on the network topology. This takes into account the additional correlations that exist in the case of cloned networks. In the last part of the article, we use tripartite mutual information to distinguish cloned networks from networks created by independent sources and further use squashed entanglement as a measure to quantify the amount of dependence in the cloned networks.https://www.mdpi.com/2227-7390/11/11/2440quantum networkcloningfinner inequalitiesnetwork topologysquashed entanglement |
| spellingShingle | Manish Kumar Shukla Minyi Huang Indranil Chakrabarty Junde Wu Correlations in Quantum Network Topologies Created with Cloning Mathematics quantum network cloning finner inequalities network topology squashed entanglement |
| title | Correlations in Quantum Network Topologies Created with Cloning |
| title_full | Correlations in Quantum Network Topologies Created with Cloning |
| title_fullStr | Correlations in Quantum Network Topologies Created with Cloning |
| title_full_unstemmed | Correlations in Quantum Network Topologies Created with Cloning |
| title_short | Correlations in Quantum Network Topologies Created with Cloning |
| title_sort | correlations in quantum network topologies created with cloning |
| topic | quantum network cloning finner inequalities network topology squashed entanglement |
| url | https://www.mdpi.com/2227-7390/11/11/2440 |
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