论文标题

在保留von Neumann熵的量子通道和操作上

On quantum channels and operations preserving finiteness of the von Neumann entropy

论文作者

Shirokov, M. E., Bulinski, A. V.

论文摘要

我们描述了量子通道的类别(半群)映射状态,并具有有限的熵,并具有有限的熵。我们特别表明,该类自然分解为三个凸子类,其中两个在串联和张量产品下被关闭。我们为两种类型的量子通道的输出熵获得渐近的紧密通用连续性边界:具有有限输出熵和能量约束通道的通道可保留熵的有限性。

We describe the class (semigroup) of quantum channels mapping states with finite entropy into states with finite entropy. We show, in particular, that this class is naturally decomposed into three convex subclasses, two of them are closed under concatenations and tensor products. We obtain asymptotically tight universal continuity bounds for the output entropy of two types of quantum channels: channels with finite output entropy and energy-constrained channels preserving finiteness of the entropy.

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