Figure 5.

Corner states as interim states in infodesics. The environment is a 7 × 7 gridworld with a Moore neighbourhood and trade-off value β = 0.07. (a) Infodesic sequence 〈#38, #6, #18〉, with normalized free energy $({\mathcal{F}}_{18}^{{\pi }_{\mathcal{F}}}(38)-[{\mathcal{F}}_6^{{\pi }_{\mathcal{F}}^{(1)}}(38)+{\mathcal{F}}_{18}^{{\pi }_{\mathcal{F}}^{(2)}}(6)])//{\mathcal{F}}_{18}^{{\pi }_{\mathcal{F}}}(38)$ $=-0.187$. (b) #0, #6, #12, #18 with free energy $({\mathcal{F}}_{18}^{{\pi }_{\mathcal{F}}}(0)-[{\mathcal{F}}_6^{{\pi }_{\mathcal{F}}^{(1)}}(0)+{\mathcal{F}}_{12}^{{\pi }_{\mathcal{F}}^{(2)}}(6)+{\mathcal{F}}_{18}^{{\pi }_{\mathcal{F}}^{(3)}}(12)])/{\mathcal{F}}_{18}^{{\pi }_{\mathcal{F}}}(0)=-0.197$. (c) A heat map of the number of times a state participates as an interim state in a three-state $\epsilon$-infodesic of the form ${\psi }_{s_0\to s_g}=⟨s_0=s,s_1=s_i,s_2=s_g⟩$ with $\epsilon <0.05$. The cell annotations show the numbering of the states.