New quantum analogues of the Hamming Wasserstein distance are defined on traces of C(S_n^+) and proven to be metrics with subadditivity and exact classical recovery.
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Quantum Wasserstein distances for quantum permutation groups
New quantum analogues of the Hamming Wasserstein distance are defined on traces of C(S_n^+) and proven to be metrics with subadditivity and exact classical recovery.