The entanglement measure induced by Tsallis relative α entropy.
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| Title: | The entanglement measure induced by Tsallis relative α entropy. |
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| Authors: | Li, Junqing1 (AUTHOR) lijunqing@ruc.edu.cn, Dong, Shuo1 (AUTHOR), Hou, Wenjie2,3 (AUTHOR), Wei, Jianhua1 (AUTHOR) |
| Source: | Pramana: Journal of Physics. Jun2026, Vol. 100 Issue 2, p1-5. 5p. |
| Subjects: | Quantum entanglement, Mathematical analysis, Quantum correlations, Quantum states, Uncertainty (Information theory) |
| Abstract: | In their seminal work, published in J. Math. Phys. 45(12), 4868 (2004), Furuich et al introduced the Tsallis relative α entropy. Building upon this theoretical framework, we introduce a new entanglement measure derived from Tsallis relative α entropy. Through rigorous mathematical analysis, we show that this measure fulfils all the essential conditions required for a valid entanglement measure. Moreover, we establish both upper and lower bounds for the proposed entanglement measure. To illustrate its practical applicability, we provide concrete examples demonstrating the measure's effectiveness in quantifying the degree of entanglement in bipartite quantum states. [ABSTRACT FROM AUTHOR] |
| Copyright of Pramana: Journal of Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 193389895 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The entanglement measure induced by Tsallis relative α entropy. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Li%2C+Junqing%22">Li, Junqing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lijunqing@ruc.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Dong%2C+Shuo%22">Dong, Shuo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hou%2C+Wenjie%22">Hou, Wenjie</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wei%2C+Jianhua%22">Wei, Jianhua</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Pramana%3A+Journal+of+Physics%22">Pramana: Journal of Physics</searchLink>. Jun2026, Vol. 100 Issue 2, p1-5. 5p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+entanglement%22">Quantum entanglement</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+correlations%22">Quantum correlations</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+states%22">Quantum states</searchLink><br /><searchLink fieldCode="DE" term="%22Uncertainty+%28Information+theory%29%22">Uncertainty (Information theory)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In their seminal work, published in J. Math. Phys. 45(12), 4868 (2004), Furuich et al introduced the Tsallis relative α entropy. Building upon this theoretical framework, we introduce a new entanglement measure derived from Tsallis relative α entropy. Through rigorous mathematical analysis, we show that this measure fulfils all the essential conditions required for a valid entanglement measure. Moreover, we establish both upper and lower bounds for the proposed entanglement measure. To illustrate its practical applicability, we provide concrete examples demonstrating the measure's effectiveness in quantifying the degree of entanglement in bipartite quantum states. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Pramana: Journal of Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s12043-025-03090-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 5 StartPage: 1 Subjects: – SubjectFull: Quantum entanglement Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Quantum correlations Type: general – SubjectFull: Quantum states Type: general – SubjectFull: Uncertainty (Information theory) Type: general Titles: – TitleFull: The entanglement measure induced by Tsallis relative α entropy. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Li, Junqing – PersonEntity: Name: NameFull: Dong, Shuo – PersonEntity: Name: NameFull: Hou, Wenjie – PersonEntity: Name: NameFull: Wei, Jianhua IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 03044289 Numbering: – Type: volume Value: 100 – Type: issue Value: 2 Titles: – TitleFull: Pramana: Journal of Physics Type: main |
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