Relations between different definitions of the quantum Wasserstein distance for qubits
arXiv:2605.03027
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.
5 pages, revtex 4.2. arXiv admin note: substantial text overlap with arXiv:2506.14523, arXiv:2209.09925