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.
Generators of KMS symmetric Markov semigroups onB(h) symmetry and quantum detailed balance.Communications in Mathematical Physics, 298(2):523–547, 2010
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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.