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<p>In their seminal work, published in <i>J. Math. Phys</i>. <b>45</b>(<b>12</b>), 4868 (2004), Furuich <i>et al</i> introduced the Tsallis relative <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> entropy. Building upon this theoretical framework, we introduce a new entanglement measure derived from Tsallis relative <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> 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.</p>

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The entanglement measure induced by Tsallis relative \(\alpha \) entropy

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • Junqing Li,
  • Shuo Dong,
  • Wenjie Hou,
  • Jianhua Wei

摘要

In their seminal work, published in J. Math. Phys. 45(12), 4868 (2004), Furuich et al introduced the Tsallis relative \(\alpha \) α entropy. Building upon this theoretical framework, we introduce a new entanglement measure derived from Tsallis relative \(\alpha \) 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.