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quant-ph2022★ 1 cited
On the monotonicity of a quantum optimal transport cost
Alexander Müller-Hermes
We show that the quantum generalization of the -Wasserstein distance proposed by Chakrabarti et al. is not monotone under partial traces. This disproves a recent conjecture by F…
quant-ph2018
Decomposability of Linear Maps under Tensor Products
Alexander Müller-Hermes
Both completely positive and completely copositive maps stay decomposable under tensor powers, i.e under tensoring the linear map with itself. But are there other examples of maps…