Triangle Inequality for a Quantum Wasserstein Divergence
Mathematical Physics
2025-11-26 v1 Functional Analysis
math.MP
Quantum Physics
Abstract
We resolve a conjecture of De Palma and Trevisan by proving the triangle inequality for a quantum 2-Wasserstein distance. The proof relies on complex analysis methods to establish a new integral representation of the cost in the optimal transport problem.
Cite
@article{arxiv.2511.20450,
title = {Triangle Inequality for a Quantum Wasserstein Divergence},
author = {Melchior Wirth},
journal= {arXiv preprint arXiv:2511.20450},
year = {2025}
}