Proves quantitative trace-norm propagation of chaos for Belavkin equations on mixed-state density matrices in finite-dimensional quantum mean-field systems.
Empirical measures and quantum mechanics: applications to the mean-field limit
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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.
Defines p-Wasserstein distances and divergences via quantum channels and proves triangle inequality for quadratic divergences assuming one state is pure.
citing papers explorer
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Propagation of chaos for Belavkin equations beyond pure states
Proves quantitative trace-norm propagation of chaos for Belavkin equations on mixed-state density matrices in finite-dimensional quantum mean-field systems.
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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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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.