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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-ph2022★ 2 cited
Bi-PPT channels are entanglement breaking
Alexander Müller-Hermes, Satvik Singh
In a recent paper, Hirche and Leditzky introduced the notion of bi-PPT channels which are quantum channels that stay completely positive under composition with a transposition and…