Oscillations of the purity in the repeated-measurement-based generation of quantum states

Details Oscillations of the purity in the repeated-measurement-based generation of quantum states Oscillations of the purity in the repeated-measurement-based generation of quantum states

2008-03-13

arxiv.org/abs/0803.1965v1

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevA.77.042109

Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespectively of its initial condition, because of an {\em effective non-unitary evolution}. If the target state is a pure one, the degree of purity of the system approaches unity, even when the initial condition of the system is a mixed state. In this paper we study the behavior of the purity from the initial value to the final one, that is unity. Depending on the parameters, after a finite number of measurements, the purity exhibits oscillations, that brings about a lower purity than that of the initial state, which is a point to be taken care of in concrete applications.

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