Magic State Distillation from Entangled States

Understand

Magic can be distributed non-locally in many-body entangled states, such as the low energy states of condensed matter systems.

• Using the Bravyi-Kitaev magic state distillation protocol, we find that non-local magic is distillable and can improve the distillation outcome.
• We analyze a few explicit examples and show that spin squeezing can be used to convert non-distillable states into distillable ones.
• Our analysis also suggests that the conventional product input states assumed by magic distillation protocols are extremely atypical among general states with distillable magic.