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<p>Hirche and Tomamichel recently introduced quantum <i>f</i>-divergence as an integral of quantum Hockey stick divergence. In this paper, we study the optimization of quantum <i>f</i>-divergence between the unitary orbits. The proof relies on the well-known Lidskii’s inequality. We also generalize the result to the mixed unitary orbits.</p>

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Unitary orbit optimization of quantum f-divergence

  • 期刊论文

  • 发表日期：

    2025年2月25日

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  • Haojian Li,
  • Xiaojing Yan

摘要

Hirche and Tomamichel recently introduced quantum f-divergence as an integral of quantum Hockey stick divergence. In this paper, we study the optimization of quantum f-divergence between the unitary orbits. The proof relies on the well-known Lidskii’s inequality. We also generalize the result to the mixed unitary orbits.