Fig. 4: Programmability and scalability of top-down optical circuits.
From: Inverse design of high-dimensional quantum optical circuits in a complex medium
a,b, Fidelity (\({{{\mathcal{F}}}}\)) (a) and success probability (\({{{\mathcal{S}}}}\)) (b) of a d-dimensional quantum optical circuit as a function of the dimension of mode mixers (n) for a circuit depth of L = 2. c,d, \({{{\mathcal{F}}}}\) (c) and \({{{\mathcal{S}}}}\) (d) as a function of L for n = 200. e, Plot of fidelity versus the parameter nL/d2 in the regime where d/n < 0.1. This plot shows a converging trend towards unit fidelity (\({{{\mathcal{F}}}}=1\)), 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 \(L\approx {{{\mathcal{O}}}}(d)\). 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.
