Fig. 4
From: Interfering trajectories in experimental quantum-enhanced stochastic simulation
Sampling of statistical futures. a The coloured bars show the measured probability of different outcomes for the three simulation steps, when the initial state is |S0〉 with l = 0.4, and for discrete values of m in the range 0.1–1.0. The transparent bars show the theoretically calculated probabilities for the corresponding process. b The sampled future of the same process, when the initial state is |S1〉. Uncertainties, due to the Poissonian distribution of photon counts, are so small that they are not visible in the graphs—therefore, they are not depicted. Note that the classical probability distribution is determined by the process parameters l and m, as well as the initial causal state. For example, if the last outcome of the coin is 1, the quantum simulator is initialised in state |S1〉. The conditional probability of subsequently observing 111 is then m3. For a fixed l = 0.4 and increasing m, the average probability of getting 1 in the simulation thus rises accordingly. This can be seen by the higher columns in the right corners of both graphs
