Fig. 2
From: Using quantum theory to simplify input–output processes
ε-transducer for the actively perturbed coin. Here, node 0 (1) is identified with causal state s 0 (s 1) and represents pasts where the last coin toss resulted in tails (heads). Each non-zero transition element T kj y|x is then represented by a directed edge from node k to j labeled by ‘y|x:T kj y|x’. Here, future statistics can be generated by transition elements T 01 1|0 = T 10 0|0 = p, T 00 0|0 = T 11 1|0 = 1−p, T 10 0|1 = T 01 1|1 = q, T 00 0|1 = T 11 1|1 = 1−q
