Wasserstein Geometry of Quantum States and Optimal Transport of Matrix-Valued Measures
نویسندگان
چکیده
We overview recent results on generalizations of the Wasserstein 2-metric, originally defined on the space of scalar probability densities, to the space of Hermitian matrices and of matrix-valued distributions, as well as some extensions of the theory to vector-valued distributions and discrete spaces (weighted graphs). Dedicated to Professor Mathukumalli Vidyasagar on his 70th birthday.
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