Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespective of its initial condition, because of an effective nonunitary 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.

MILITELLO B, YUASA K, NAKAZATO H, MESSINA A (2008). Oscillations of the purity in the repeated-measurement-based generation of quantum states. PHYSICAL REVIEW A, 77, 042109-1-042109-5 [10.1103/PhysRevA.77.042109].

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

MILITELLO, Benedetto
;
MESSINA, Antonino
2008-01-01

Abstract

Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespective of its initial condition, because of an effective nonunitary 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.
2008
MILITELLO B, YUASA K, NAKAZATO H, MESSINA A (2008). Oscillations of the purity in the repeated-measurement-based generation of quantum states. PHYSICAL REVIEW A, 77, 042109-1-042109-5 [10.1103/PhysRevA.77.042109].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/36461
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