We first investigate the one-shot static entanglement cost to simulate a bipartite quantum channel under the set of nonentangling channels. The lower bound on the one-shot static entanglement cost is given by the generalized robustness of the target channel as well as the robust-generating power of the channel, which implies that the cost necessary to generate a bipartite quantum channel might not be retrievable in general. Next, we conceive a set of quantum channels that extends the set of nonentangling channels. We find out that the one-shot static entanglement cost under the extended set of channels is given by the channel's standard log-robustness. This quantity also gives the one-shot dynamic entanglement cost under a set of free superchannels that do not generate a dynamic entanglement resource; the extended set is shown to be equivalent to the set of free superchannels.

中文翻译：

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二分量子通道的一次性静态纠缠成本

我们首先研究了在一组非纠缠通道下模拟二分量子通道的一次性静态纠缠成本。一次性静态纠缠成本的下限由目标通道的广义鲁棒性以及通道的鲁棒生成能力给出，这意味着生成二分量子通道所需的成本可能无法在一般的。接下来，我们设想一组扩展非纠缠通道集的量子通道。我们发现在扩展的通道集下的一次性静态纠缠成本由通道的标准对数稳健性给出。这个数量还给出了一组不产生动态纠缠资源的免费超级通道下的一次性动态纠缠成本；