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quant-ph2021★ 17 cited
Quantum Optimal Transport
Sam Cole, Michał Eckstein, Shmuel Friedland +1
We analyze a quantum version of the Monge--Kantorovich optimal transport problem. The quantum transport cost related to a Hermitian cost matrix is minimized over the set of all…
quant-ph2021★ 32 cited
Quantum Monge-Kantorovich problem and transport distance between density matrices
Shmuel Friedland, Michał Eckstein, Sam Cole +1
A quantum version of the Monge--Kantorovich optimal transport problem is analyzed. The transport cost is minimized over the set of all bipartite coupling states , such that…