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International Workshop on Interacting Particle Systems

Quantum Transport is cheaper


Thierry Paul , Sorbonne University, France


29 Mar, 19:25 - 19:45


Bipartite (Euclidean) matching problems in classical and quantum mechanics are compared. 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.