



@article {2638,
	title = {Conformal field theories are magical},
	journal = {Physical Review B},
	volume = {103},
	year = {2021},
	month = {2/25/2021},
	pages = {075145},
	abstract = {<p>\&quot;Magic\&quot; is the degree to which a state cannot be approximated by Clifford gates. We study mana, a measure of magic, in the ground state of the Z3 Potts model, and argue that it is a broadly useful diagnostic for many-body physics. In particular we find that the q=3 ground state has large mana at the model\&$\#$39;s critical point, and that this mana resides in the system\&$\#$39;s correlations. We explain the form of the mana by a simple tensor-counting calculation based on a MERA representation of the state. Because mana is present at all length scales, we conclude that the conformal field theory describing the 3-state Potts model critical point is magical. These results control the difficulty of preparing the Potts ground state on an error-corrected quantum computer, and constrain tensor network models of AdS-CFT.</p>},
	doi = {https://journals.aps.org/prb/pdf/10.1103/PhysRevB.103.075145},
	url = {https://arxiv.org/abs/2007.01303},
	author = {Christopher David White and ChunJun Cao and Brian Swingle}
}
