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License: MIT License
Interstellar communication
License: MIT License
I believe there is an error in the holevo_perfect and holevo_thermal functions in PyCom.py. In the latter there is the function
def gx(x, eta, M):
return (((1 + x)) * log2(1 + x) - x * log2(x)) / M * eta
whereas I believe it should be
def gx(x, eta, M):
return (((1 + x)) * log2(1 + x) - x * log2(x)) / (M * eta)
That is, the current function is multiplying by eta, not dividing by eta. I believe the division by (M*eta) is correct, as it would ensure that holevo_thermal returns the bits per detected photon. I think this effects some results in the paper https://doi.org/10.1017/S1473550417000507
For example, the value for C_th quoted in Figure 9 would then become 4 bits per (detected) photon (instead of 1) at N_M=0.13, M=1e-5, eta=0.5 (and the plotted curve is then also offset). With eta=0.5, some other results for the capacity (bits per detected photon) may be too low by a factor of 4 (and bits per incident photon by a factor of 2).
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