



01258nas a2200157   4500008004100000245004100041210004100082260001400123300001100137490000800148520084100156100003000997700001701027700001901044856003701063       2021                        eng d00aConformal field theories are magical0 aConformal field theories are magical  c2/25/2021  a0751450 v1033 a<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>1 aWhite, Christopher, David1 aCao, ChunJun1 aSwingle, Brian  uhttps://arxiv.org/abs/2007.01303