Bad Qubits — Learn Quantum by Doing

Multiple choice

In the Bravyi-Kitaev 15-to-1 magic-state distillation protocol, to leading order the output error relates to the input error as which of the following?

epsilon_out = 15 * epsilon_in^2 (quadratic suppression)
epsilon_out = epsilon_in / 15 (linear reduction by the number of inputs)
epsilon_out = 35 * epsilon_in (linear amplification)
epsilon_out = 35 * epsilon_in^3 + O(epsilon_in^4) (cubic suppression)