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<p>We consider quantum Wasserstein distances where the transport cost is generated by a single observable quantity, and study the isometries of quantum state spaces with respect to these distances. The main result is an extension of Theorem 2 in [R. Simon, D. Virosztek, Linear Algebra Appl. <b>714</b> (2025), 1–14], which describes the qubit Wasserstein isometries induced by a single observable, to finite quantum systems of arbitrary dimensions.</p>

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Quantum Wasserstein isometries with a single observable generating the transport cost

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月27日

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  • Eszter Szabó,
  • Dániel Virosztek

摘要

We consider quantum Wasserstein distances where the transport cost is generated by a single observable quantity, and study the isometries of quantum state spaces with respect to these distances. The main result is an extension of Theorem 2 in [R. Simon, D. Virosztek, Linear Algebra Appl. 714 (2025), 1–14], which describes the qubit Wasserstein isometries induced by a single observable, to finite quantum systems of arbitrary dimensions.