1 citations · 1 across the 1 of their papers we have counts for
3 papers
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…
math.FA2021
Asymptotic Tensor Powers of Banach Spaces
Guillaume Aubrun, Alexander Müller-Hermes
We study the asymptotic behaviour of large tensor powers of normed spaces and of operators between them. We define the tensor radius of a finite-dimensional normed space as the…
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…