Relation between the entropy and the linear entropy in the ion–laser interaction

R Juárez-Amaro, L Moya Rosales… - Journal of Modern …, 2020 - Taylor & Francis
R Juárez-Amaro, L Moya Rosales, JA Anaya-Contreras, A Zúñiga-Segundo
Journal of Modern Optics, 2020Taylor & Francis
It is shown that, in the interaction of a field and a qubit, there exists a relation between the
linear entropy and the von Neumann entropy. The Cayley–Hamilton theorem is used to
obtain such relation. In the case we study, the qubit is given by the internal degrees of
freedom of an ion trapped in a Paul trap and the field given by its external (vibrational)
degrees of freedom.
It is shown that, in the interaction of a field and a qubit, there exists a relation between the linear entropy and the von Neumann entropy. The Cayley–Hamilton theorem is used to obtain such relation. In the case we study, the qubit is given by the internal degrees of freedom of an ion trapped in a Paul trap and the field given by its external (vibrational) degrees of freedom.
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