Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 181, Issue 1, Pages 149-162Publisher
SPRINGER
DOI: 10.1007/s10955-020-02571-7
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Funding
- LIA AMU-CNRS-ECM-INdAM Laboratoire Ypatie des Sciences Mathematiques (LYSM)
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We compare bipartite (Euclidean) matching problems in classical and quantum mechanics. The quantum case is treated in terms of a quantum version of the Wasserstein distance. We show that the optimal quantum cost can be cheaper than the classical one. We treat in detail the case of two particles: the equal mass case leads to equal quantum and classical costs. Moreover, we show examples with different masses for which the quantum cost is strictly cheaper than the classical cost.
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