Example: Two transfers: quantum turnover, persistent album entropy

Take

Then $q_0=1$, $q_1=1/2$, and $q_2=0$. For a basis input, the coherent radiation entropies are

The final coherent radiation is a superposition of emission in the first cell and emission in the second cell.

If each cell is destructively read out when returned, the final record has two equally likely histories:

Its cumulative record entropies are

For an arbitrary code input, the final classical record additionally reports the measured logical basis label. Its quantum recovery error is $b_d$. The coherent time superposition has not survived as a classical album.