论文标题
关于量子最佳运输成本的单调性
On the monotonicity of a quantum optimal transport cost
论文作者
论文摘要
我们表明，Chakrabarti等人提出的$ 2 $ - Wasserstein距离的量子概括。在部分迹线下不是单调的。这反驳了Friedland等人最近的猜想。最后，我们提出了原始定义的稳定版本，在一般量子通道的应用下，我们表明它是单调的。
We show that the quantum generalization of the $2$-Wasserstein distance proposed by Chakrabarti et al. is not monotone under partial traces. This disproves a recent conjecture by Friedland et al. Finally, we propose a stabilized version of the original definition, which we show to be monotone under the application of general quantum channels.
