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

Raúl Juárez-Amaro; Leonardo Moya Rosales; Jorge A. Anaya-Contreras; Arturo Zúñiga-Segundo; Héctor M. Moya-Cessa

doi:10.1080/09500340.2020.1772393

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

Raúl Juárez-Amaro, Leonardo Moya Rosales, Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Héctor M. Moya-Cessa

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Translated title of the contribution	Relación entre la entropía y la entropía lineal en la interacción ion-láser
Original language	English
Pages (from-to)	805-810
Number of pages	6
Journal	Journal of Modern Optics
Volume	67
Issue number	9
DOIs	https://doi.org/10.1080/09500340.2020.1772393
State	Published - 20 May 2020

Keywords

Ion–laser interaction
non-classical states
squeeze operator

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10.1080/09500340.2020.1772393

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abstract = "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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AU - Moya Rosales, Leonardo

AU - Anaya-Contreras, Jorge A.

AU - Zúñiga-Segundo, Arturo

AU - Moya-Cessa, Héctor M.

PY - 2020/5/20

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N2 - 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.

AB - 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.

KW - Ion–laser interaction

KW - non-classical states

KW - squeeze operator

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

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Keywords

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