Relations between different definitions of the quantum Wasserstein distance for qubits
Quantum Physics
2026-05-21 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2605.03027,
title = {Relations between different definitions of the quantum Wasserstein distance for qubits},
author = {Géza Tóth and József Pitrik},
journal= {arXiv preprint arXiv:2605.03027},
year = {2026}
}
Comments
5 pages, revtex 4.2. arXiv admin note: substantial text overlap with arXiv:2506.14523, arXiv:2209.09925