Fig. 7: Fidelity scaling for a dephasing time T2 = 1 s, amplitude-damping time of T1 = 2 s and a varying CNOT error.

a ϵCNOT = 10−2. b ϵCNOT = 10−3. c ϵCNOT = 10−4. The simulations are in the hybrid regime, with 6.2% of deterministic nodes. We present different simulations for several possible values for the efficiency of each distributed CNOT (i.e., the probability of success of each of the distributed CNOT), namely η ∈ {0.5, 0.6, 0.7, 0.8, 0.9}. In dashed black lines, we also plot the values for the two-step scheme for the case with η = 0.5 and with the same T1, T2 and ϵCNOT as the hybrid scheme. All the error bars over the data correspond to the error of the average value over 100 simulations of the protocol.