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<p>The metric-adjusted skew information is a fundamental concept in quantum metrology and has been widely applied in numerous contexts owing to its generality. In this work, we employ the metric-adjusted skew information to introduce a family of coherence measures for quantum states relative to an operator orthonormal basis. We establish their fundamental properties and derive several trade-off relations. Building on these coherence measures, we further propose a correlation quantifier for bipartite states based on coherence differences, and systematically investigate its basic properties. The correlation characteristics of classical-quantum states are also analyzed within this framework. Finally, we provide a comparative evaluation of these correlation measures under different operator monotone functions for some typical states.</p>

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Quantifying Correlations Relative to Operator Orthonormal Bases via Metric-adjusted Skew Information

  • 期刊论文

  • 发表日期：

    2026年2月24日

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  • Xueying Sha,
  • Yajing Fan,
  • Ying Yang

摘要

The metric-adjusted skew information is a fundamental concept in quantum metrology and has been widely applied in numerous contexts owing to its generality. In this work, we employ the metric-adjusted skew information to introduce a family of coherence measures for quantum states relative to an operator orthonormal basis. We establish their fundamental properties and derive several trade-off relations. Building on these coherence measures, we further propose a correlation quantifier for bipartite states based on coherence differences, and systematically investigate its basic properties. The correlation characteristics of classical-quantum states are also analyzed within this framework. Finally, we provide a comparative evaluation of these correlation measures under different operator monotone functions for some typical states.