



@article {2317,
	title = {Quantum Channel Simulation and the Channel{\textquoteright}s Smooth Max-Information},
	year = {2018},
	abstract = {<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>},
	url = {https://arxiv.org/abs/1807.05354},
	author = {Kun Fang and Xin Wang and Marco Tomamichel and Mario Berta}
}
