Relations between different definitions of the quantum Wasserstein distance for qubits

Géza Tóth; József Pitrik

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arXiv · 2605.03027

Relations between different definitions of the quantum Wasserstein distance for qubits

Géza Tóth·József Pitrik

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Abstract

The quantum Wasserstein distances defined by Golse, Mouhot, Paul, and Caglioti and by De Palma and Trevisan coincide for qubits when a single operator appears in the cost function. As a consequence, the self-distance equals the Wigner-Yanase skew information in this case.

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Géza Tóth, József Pitrik. 2026-05-04. Relations between different definitions of the quantum Wasserstein distance for qubits. https://arxiv.org/abs/2605.03027

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