Line Plot from Scientific Research

Plot of fidelity versus the parameter nL / d^2 in the regime where d / n < 0.1. This plot shows a converging trend towards unit fidelity (F = 1), demonstrating that full programmability can be achieved by increasing either the mode-mixer dimension n or circuit depth L. The inset shows a plot of the success probability versus parameter L / d, showing convergence to unity when the number of phase planes approaches L ≈ O(d). A sample size of 200 is used to derive the statistics of each data point. The data are presented as mean values ± one standard deviation.

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