← Back to papers
Triangle Inequality for a Quantum Wasserstein Divergence
Melchior Wirth·November 25, 2025
Mathematical Physicsmath.FAQuantum Physics
AI Breakdown
Get a structured breakdown of this paper — what it's about, the core idea, and key takeaways for the field.
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.