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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 03044289 |
| DOI: | 10.1007/s12043-025-03090-4 |
