Figure 11

Optimal number of authentication sequences between the probability of Eve being detected \(P_{\mathrm{fail}} ( N )\) and probability of success in a secure authentication process in a noise environment; \(P_{\mathrm{QIA}| \epsilon} ( N ) = \sum_{r=0}^{1} {}_{N} C_{r} p^{r} ( 1-p )^{N-r}\), \(P_{\mathrm{QMA}| \epsilon} ( N ) = \sum_{r=0}^{2} {}_{N} C_{r} p^{r} ( 1-p )^{N-r}\) (a) QIA and (b) QMA schemes