



01663nas a2200133   4500008004100000245007200041210006900113520124300182100001401425700001401439700002201453700001701475856003701492       2018                        eng d00aQuantum Channel Simulation and the Channel's Smooth Max-Information0 aQuantum Channel Simulation and the Channels Smooth MaxInformatio3 a<p><span style="color: rgb(51, 51, 51); font-family: &quot;Open Sans&quot;, &quot;Lucida Grande&quot;, &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif; font-size: 14px;">We study the general framework of quantum channel simulation, that is, the ability of a quantum channel to simulate another one using different classes of codes. First, we show that the minimum error of simulation and the one-shot quantum simulation cost under no-signalling assisted codes are given by semidefinite programs. Second, we introduce the channel&#39;s smooth max-information, which can be seen as a one-shot generalization of the mutual information of a quantum channel. We provide an exact operational interpretation of the channel&#39;s smooth max-information as the one-shot quantum simulation cost under no-signalling assisted codes. Third, we derive the asymptotic equipartition property of the channel&#39;s smooth max-information, i.e., it converges to the quantum mutual information of the channel in the independent and identically distributed asymptotic limit. This implies the quantum reverse Shannon theorem in the presence of no-signalling correlations. Finally, we explore the simulation cost of various quantum channels.</span></p>1 aFang, Kun1 aWang, Xin1 aTomamichel, Marco1 aBerta, Mario  uhttps://arxiv.org/abs/1807.05354