For finite-dimensional quantum Markovian semigroups, the standard quantum detailed balance condition is equivalent to a special generator representation that yields vanishing entropy production under thermodynamic consistency.
Open quantum markovian systems and the microreversibility.Zeitschrift f¨ ur Physik A Hadrons and nuclei, 258(5):409–422, 1973
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Interplay between Standard Quantum Detailed Balance and Thermodynamically Consistent Entropy Production
For finite-dimensional quantum Markovian semigroups, the standard quantum detailed balance condition is equivalent to a special generator representation that yields vanishing entropy production under thermodynamic consistency.