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.
qbit state; quantum probability; Wasserstein distance; Statistics and Probability; Modeling and Simulation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1041361
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