Establishes Kantorovich duality for linearized non-quadratic quantum optimal transport realized by channels, determines optimal primal-dual solutions for qubits under state restrictions, and proves the triangle inequality for the square of the induced quantum Wasserstein divergences.
Quantum optimal tr ansport with quantum channels
3 Pith papers cite this work. Polarity classification is still indexing.
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Defines p-Wasserstein distances and divergences via quantum channels and proves triangle inequality for quadratic divergences assuming one state is pure.
Presents optimization framework and closed-form solutions for convex approximation of quantum channels under α-affinity metric for SU(2)-covariant, Pauli, and amplitude-damping cases.
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Optimal convex approximation of quantum channels based on $\alpha$-affinity
Presents optimization framework and closed-form solutions for convex approximation of quantum channels under α-affinity metric for SU(2)-covariant, Pauli, and amplitude-damping cases.