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.
Entropy production and detailed balance for a class of quantum markov semigroups.Open Systems & Information Dynamics, 22(03):1550013, 2015
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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.