



@article {2331,
	title = {Efficiently computable bounds for magic state distillation},
	journal = {Phys. Rev. Lett. },
	volume = {124},
	year = {2020},
	month = {3/6/2020},
	abstract = {<p>Magic state manipulation is a crucial component in the leading approaches to realizing scalable, fault-tolerant, and universal quantum computation. Related to magic state manipulation is the resource theory of magic states, for which one of the goals is to characterize and quantify quantum \&quot;magic.\&quot; In this paper, we introduce the family of thauma measures to quantify the amount of magic in a quantum state, and we exploit this family of measures to address several open questions in the resource theory of magic states. As a first application, we use the min-thauma to bound the regularized relative entropy of magic. As a consequence of this bound, we find that two classes of states with maximal mana, a previously established magic measure, cannot be interconverted in the asymptotic regime at a rate equal to one. This result resolves a basic question in the resource theory of magic states and reveals a fundamental difference between the resource theory of magic states and other resource theories such as entanglement and coherence. As a second application, we establish the hypothesis testing thauma as an efficiently computable benchmark for the one-shot distillable magic, which in turn leads to a variety of bounds on the rate at which magic can be distilled, as well as on the overhead of magic state distillation. Finally, we prove that the max-thauma can outperform mana in benchmarking the efficiency of magic state distillation.\&nbsp;</p>},
	doi = {https://doi.org/10.1103/PhysRevLett.124.090505},
	url = {https://arxiv.org/abs/1812.10145},
	author = {Xin Wang and Mark M. Wilde and Yuan Su}
}
