Figure 4

Discrimination of unknown non-orthogonal mixed single-qubit states generated by a phase flip channel. (a) Solid red line indicates the median value of \({\tilde{p}}_{err}\) for two randomly chosen states, calculated over 100 repetitions, as a function of the number of iterations. Solid blue line corresponds to the optimal value of \(p_{err}\) obtained via semidefinite programming. (b) Solid red line indicates the median value of \(|{\tilde{p}}_{err}-p_{err}|\) for 2000 randomly chosen states calculated over 100 repetitions, as a function of the number of iterations. Shaded green area corresponds to the interquartile range and ensemble size \(N=300\). Standard gain parameters are used.