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.
3
Pith papers citing it
verdicts
UNVERDICTED 3representative citing papers
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.
citing papers explorer
-
Strong Kantorovich duality for quantum optimal transport with generic cost and optimal couplings on quantum bits
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.
-
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.
-
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.