Entropy increase for a class of dynamical maps

Ananthakrishna, G. ; Sudarshan, E. C. G. ; Gorini, Vittorio (1975) Entropy increase for a class of dynamical maps Reports on Mathematical Physics, 8 (1). pp. 25-32. ISSN 0034-4877

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Related URL: http://dx.doi.org/10.1016/0034-4877(75)90015-4


The dynamical evolution of a quantum system is described by a one parameter family of linear transformations of the space of self-adjoint trace class operators (on the Hilbert space of the system) into itself, which map statistical operators to statistical operators. We call such transformations dynamical maps. We give a sufficient condition for a dynamical map A not to decrease the entropy of a statistical operator. In the special case of an N-level system, this condition is also necessary and it is equivalent to the property that A preserves the central state.

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