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.
Optimal quantum channels.Phys
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External quantum fluctuations from the apparatus initial state select measurement contexts in generalized measurements, allowing different outcomes to represent different contexts.
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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.
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External quantum fluctuations select measurement contexts
External quantum fluctuations from the apparatus initial state select measurement contexts in generalized measurements, allowing different outcomes to represent different contexts.