A new entropic quantum correlation measure for adversarial systems
Abstract Quantum correlation often refers to correlations exhibited by two or more local subsystems under a suitable measurement. These correlations are beyond the framework of classical statistics and the associated classical probability distribution. Quantum entanglement is the most well-known of...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-01-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-28035-y |
| _version_ | 1811175907305455616 |
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| author | Biveen Shajilal Elanor Huntington Ping Koy Lam Syed Assad |
| author_facet | Biveen Shajilal Elanor Huntington Ping Koy Lam Syed Assad |
| author_sort | Biveen Shajilal |
| collection | DOAJ |
| description | Abstract Quantum correlation often refers to correlations exhibited by two or more local subsystems under a suitable measurement. These correlations are beyond the framework of classical statistics and the associated classical probability distribution. Quantum entanglement is the most well-known of such correlations and plays an important role in quantum information theory. However, there exist non-entangled states that still possess quantum correlations which cannot be described by classical statistics. One such measure that captures these non-classical correlations is discord. Here we introduce a new measure of quantum correlations which we call entropic accord that fits between entanglement and discord. It is defined as the optimised minimax mutual information of the outcome of the projective measurements between two parties. We show a strict hierarchy exists between entanglement, entropic accord and discord for two-qubit states. We study two-qubit states which shows the relationship between the three entropic quantities. In addition to revealing a class of correlations that are distinct from discord and entanglement, the entropic accord measure can be inherently more intuitive in certain contexts. |
| first_indexed | 2024-04-10T19:44:41Z |
| format | Article |
| id | doaj.art-e6185ffd02d64a4bb11ccea75b5e2a9b |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-10T19:44:41Z |
| publishDate | 2023-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-e6185ffd02d64a4bb11ccea75b5e2a9b2023-01-29T12:09:11ZengNature PortfolioScientific Reports2045-23222023-01-0113111110.1038/s41598-023-28035-yA new entropic quantum correlation measure for adversarial systemsBiveen Shajilal0Elanor Huntington1Ping Koy Lam2Syed Assad3Centre for Quantum Computation and Communication Technology, Research School of Engineering, The Australian National UniversityCentre for Quantum Computation and Communication Technology, Research School of Engineering, The Australian National UniversityCentre for Quantum Computation and Communication Technology, Department of Quantum Science, The Australian National UniversityCentre for Quantum Computation and Communication Technology, Department of Quantum Science, The Australian National UniversityAbstract Quantum correlation often refers to correlations exhibited by two or more local subsystems under a suitable measurement. These correlations are beyond the framework of classical statistics and the associated classical probability distribution. Quantum entanglement is the most well-known of such correlations and plays an important role in quantum information theory. However, there exist non-entangled states that still possess quantum correlations which cannot be described by classical statistics. One such measure that captures these non-classical correlations is discord. Here we introduce a new measure of quantum correlations which we call entropic accord that fits between entanglement and discord. It is defined as the optimised minimax mutual information of the outcome of the projective measurements between two parties. We show a strict hierarchy exists between entanglement, entropic accord and discord for two-qubit states. We study two-qubit states which shows the relationship between the three entropic quantities. In addition to revealing a class of correlations that are distinct from discord and entanglement, the entropic accord measure can be inherently more intuitive in certain contexts.https://doi.org/10.1038/s41598-023-28035-y |
| spellingShingle | Biveen Shajilal Elanor Huntington Ping Koy Lam Syed Assad A new entropic quantum correlation measure for adversarial systems Scientific Reports |
| title | A new entropic quantum correlation measure for adversarial systems |
| title_full | A new entropic quantum correlation measure for adversarial systems |
| title_fullStr | A new entropic quantum correlation measure for adversarial systems |
| title_full_unstemmed | A new entropic quantum correlation measure for adversarial systems |
| title_short | A new entropic quantum correlation measure for adversarial systems |
| title_sort | new entropic quantum correlation measure for adversarial systems |
| url | https://doi.org/10.1038/s41598-023-28035-y |
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