Figure 2 | Scientific Reports

Figure 2

From: The Goldilocks principle of learning unitaries by interlacing fixed operators with programmable phase shifters on a photonic chip

Figure 2

Numerical universality test. (a) Architecture depiction (left column) and optimization objective function (right column) for 100 target matrices at various values of M and N. Black boxes denote any possible realization for the F matrix. (b) Multiple trials for \(N=8\) and \(M=9\) using 250 random F matrices were considered; 250 targets were used for each matrix F. Shown is the distribution of the number of LMA runs to achieve a norm lower than the stopping norm of \(10^{-10}\), with a maximum of 50 iterations per run. (c) Norm (log\({}_{10}\)) in terms of the number of iterations for the run with the best norm. Using 100 random matrices F, each with a single target matrix.

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