Fig. 7.

Simulated quantum circuit prediction of the x₁ variable of the L96 multiscale system using $\mathfrak{n}=10$ qubits. The histograms show the empirical probability density ${\tilde{\varrho }}_{n,j}$ computed from M = 10⁶ shots for lead times in the range 0 to 3.75 time units. The vertical red lines show the true value of x₁ at the verification time, which is held fixed in all experiments. The vertical yellow lines show the empirical mean forecasts.