Defines p-Wasserstein distances and divergences via quantum channels and proves triangle inequality for quadratic divergences assuming one state is pure.
Optimal quantum channels
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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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Wasserstein distances and divergences of order $p$ by quantum channels
Defines p-Wasserstein distances and divergences via quantum channels and proves triangle inequality for quadratic divergences assuming one state is pure.
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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.