Conformal field theories are magical

"Mana" is a measure of the degree to which a state cannot be approximated the result of Clifford gates; consequently, it can measure both the difficulty of state preparation on a quantum computer, and the degree to which entanglement is non-Bell-pair. I will show numerical calculations of the mana of ground states of the one-dimensional Z3 Potts model, chosen for convenience, in which we find that the mana is extensive and peaked at the phase transition. I will then comment on the implications of this fact both for quantum simulation of field theories and for AdS-CFT-motivated Ansätze for CFT ground states.

(pizza and drinks served 10 min. before the talk)