Entropy increase for a class of dynamical maps |
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| Authors: | G Ananthakrishna ECG Sudarshan Vittorio Gorini |
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| Institution: | Department of Physics, Indian Institute of Science, Bangalore, India;Department of Physics, Center for Particle Theory The University of Texas, Austin, USA;Centre for Theoretical Studies, Indian Institute of Science, Bangalore, India;Istituto di Fisica dell'' Universita'', Milano, Italy;Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Italy |
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| Abstract: | 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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