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How to understand the circuits used for magic state distillation in surface code?

I'm reading about surface code theory recently (Phys. Rev. A 86, 032324). When I come across the magic state distillation part, it is difficult for me to understand the circuits. In addition, I have read Bravyi and Kitaev's paper about magic state distillation(Phys. Rev. A 71, 022316). But when back to the circuits below, I still can not figure out the process how it work. Distillation circuit for the |YL> ancilla state Distillation circuit for the |AL> ancilla state

Inm
  • 535
  • 3
  • 9