Abstract
This paper explores the possibility that linear dynamical maps might be used to describe the energy-conserving, entropy-increasing motions which occur in closed thermodynamic systems as they approach canonical thermal equilibrium. ForN-level quantum systems withN>2, we prove that no such maps exist which are independent of the initial state.
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Simmons, R.F., Park, J.L. The essential nonlinearity ofN-level quantum thermodynamics. Found Phys 11, 297–305 (1981). https://doi.org/10.1007/BF00726270
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DOI: https://doi.org/10.1007/BF00726270