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Relations between different definitions of the quantum Wasserstein distance

Tóth, Géza et al.
arXiv (All) · Papers
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quantum-physics
The quantum Wasserstein distances defined by Golse, Mouhot, Paul, and Caglioti and by De Palma and Trevisan coincide for qubits when a single operator appears in the cost function. As a consequence, the square of the self-distance equals the Wigner-Yanase skew information in this case. Moreover, for
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