Relations between different definitions of the quantum Wasserstein distance
quant-ph, math-ph, math.MP
Submitted: 2026-05-04
Updated: 2026-09-16
Terminology
Sources
- Quantum Optimal Transport and Weak Topologies
- Distance learning from projective measurements as an information-geometric probe of many-body physics
- Wasserstein distances and divergences of order $p$ by quantum channels
- Strong Kantorovich duality for quantum optimal transport with generic cost and optimal couplings on quantum bits
- Triangle Inequality for a Quantum Wasserstein Divergence
- Quantum limits in optical interferometry
- Quantum theory of phase estimation
- Metric convex extensions and optimal transport on classical and quantum structures
- Quantum Wasserstein distance and its relation to several types of fidelities
- Metricity of separable quantum optimal transport with the Hilbert-Schmidt cost
- General method for obtaining the energy minimum of spin Hamiltonians for separable states
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