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Nonunitary quantum operations generating thermostatistical states and formingpositive operator-valued measures (POVMs) are of current interest as a usefultool for operational approach to quantum thermodynamics. Here, two differentoperations generating the same thermostatistical state are studied: one isrelated to thermofield dynamics and the other is the one proposed in a recentwork [S. Abe, A. R. Usha Devi, A. K. Rajagopal, J. Phys. A: Math. Theor. 43(2010) 045303]. A comparable study on them shows different behaviors of the vonNeumann entropy under repeated applications of these two operations. It isshown that the entropy does not behave monotonically, in general, and can evendecrease under the thermofield-dynamical one, in contrast to monotonic increaseunder the other.

Completely-positive quantum operations generating thermostatistical states: A comparative study