Fig. 6: The success probabilities for decoding the value of x1 in the 5-bit code.
From: Belief propagation with quantum messages for quantum-enhanced classical communications

Here, “Helstrom on Density” represents \({P}_{{\rm{succ}},1}^{\,\text{Hel}\,}\) and “Direct” represents the success probability when directly implementing the Helstrom measurement at the channel output on system 1. The curve “Sim: BPQM” corresponds to a simulation that averaged each data point over 105 codewords.