We investigate a definition of quantum Wasserstein distance of two states based on their couplings on the product algebra as in the classical case. A detailed analysis of the two qubit model leads to a formal definition fulfilling some minimal requirements. It also shows that a clear-cut definition, by direct generalization of the classical one, is not achievable.
On quantum versions of the classical Wasserstein distance
FAGNOLA, FRANCO
2017-01-01
Abstract
We investigate a definition of quantum Wasserstein distance of two states based on their couplings on the product algebra as in the classical case. A detailed analysis of the two qubit model leads to a formal definition fulfilling some minimal requirements. It also shows that a clear-cut definition, by direct generalization of the classical one, is not achievable.File in questo prodotto:
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